Lattice 2001

  List of Submitted Contributions (preliminary)

Here is another list, sorted by parallel and poster sessions.

 A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  R  S  T  U  V  W  Y  Z
 
1 Aarts, Gert aarts@thphys.uni-heidelberg.de top
Gert Aarts
Spectral function at high temperature
At high temperature the infrared modes of a weakly coupled quantum field theory are treated well in the classical field approximation. I use this to calculate spectral functions at finite temperature directly in real time.
parallel talk Non-zero temperature and density   6
2 Alexandrou, Constantia alexand@ucy.ac.cy top
C. Alexandrou, Ph. de Forcrand, A. Tsapalis
Static three and four quark potentials
We present results on the static three quark and four quark potentials in SU(3) and SU(4) respectively. We use the multi-hit procedure for the time links and a variational approach to determine the ground state. We compare our results to the Y- and Delta ansaetze.
parallel talk Heavy quark physics   5
3 Allton, Chris c.allton@swan.ac.uk top
C.R. Allton
Searching for Dynamical Fermion effects in UKQCD simulations.
We present recent results from the UKQCD collaboration's dynamical QCD simulations. This data has fixed lattice spacing but varying dynamical quark mass. We concentrate on searching for an unquenching signal in the hadronic mass spectrum.
parallel talk QCD spectrum and quark masses   1
4 Ambjorn, Jan ambjorn@nbi.dk top
J. Ambjorn, J. Jurkiewicz and R. Loll
Simulations of generalized 3d Lorentzian gravity
We consider a generalized model of 3d Lorentzian quantum gravity which include certain classes of degenerate geometries which appear naturally in a matrix model formulation of 3d Lorentzian quantum gravity. Computer simulations show the emergence of a ``semiclassical'' 3d extended geometries despite the explicit background independence of the model.
parallel talk Quantum gravity and random surfaces   2
5 Ambjorn, Jan ambjorn@nbi.dk top
J. Ambjorn, K. Anagnostopoulos and A. Krasnitz
High temperature, classical, real time dynamics of non-abelian gauge theories as seen by the computer
We test at the electroweak scale the recently proposed elaborate theoretical scenario for real time high temperature thermal non-abelian gauge theories. We see nothing of the predicted behavior. This indicates that perturbative concepts like color conductivity and Landau damping might be irrelevant at temperatures corresponding to the electroweak scale.
poster Non-zero temperature and density  
6 ambjorn, jan ambjorn@nbi.dk top
jan ambjorn
Quantum gravity, string theory and non-commutative gauge theory seen from the lattice
[plenary talk]
plenary talk  
7 Anagnostopoulos, Konstantinos konstant@physics.uoc.gr top
J. Ambjorn, K.N. Anagnostopoulos, W. Bietenholz,F. Hofheinz, J. Nishimura, P. Olesen
The Quantum Geometry of String Theory
The IKKT matrix model is thought to provide a model for a non-perturbative definition of type IIB string theory. One of its attractive feature is the possibility to obtain spacetime dynamically from the model. We discuss recent numerical results related to the properties of quantum spacetime.
parallel talk Quantum gravity and random surfaces   1
8 Aoki, Sinya saoki@het.ph.tsukuba.ac.jp top
CP-PACS Collaboration: S.~Aoki, {\it et al.}
Non-Perturbative renormalizations in domain-wall QCD by Schr\"odinger functional scheme
We try to evaluate non-perturbative renormalization factors such as $Z_V$, $Z_A$,d$Z_P$ and $Z_{BK}$ in domain-wall QCD (DWQCD) via the Schr\"odinger functional (SF) scheme. After setting up the SF scheme in DWQCD, we have performed several tests for our method, which include the dependence of our results on $M$(the domain-wall height) and $N_s$(a number of sites in the fifith dimension). Our results for $Z_V$ and $Z_A$ are given in quenched DWQCD with RG improved as well as plaquette gauge actions. We compare them with those obtained at 1-loop in the perturbation theory.
poster Improvement and renormalization  
9 Aoki, Yasumichi yaoki@bnl.gov top
Yasumichi Aoki for RIKEN-BNL-Columbia Collaboration
Hadron spectrum for quenched domain-wall fermions with DBW2 gauge action
We study the basic physical quantities of quenched domain-wall QCD with the renormalization group improved, DBW2 gauge action of the QCD Taro group. Hadron masses are systematically examined for a range of parameters. Application to hadronic matrix elements is also discussed.
parallel talk QCD spectrum and quark masses   4
10 Arkin, Handan handan@hacettepe.edu.tr top
H. Ark{\i}n and T. \c{C}elik
Spinodal Decomposition in 3-D 3-state Potts Model
We have simulated the q=3 state Potts Model in three dimensions and examined the time evolutions of oriented clusters formed following a rapid temperature quench (1). We have studied the phase conversion mechanism after a deep temperature quench and concluded that it is spinodal decomposition while a rather shallow quench to temperatures near the phase transition point proceeds through usual nucleation (2, 3). References 1. H. Ark{\i}n and T. \c{C}elik, Int. J. of Mod. Phys. 11, 2000, 1313. 2. H. Ark{\i}n, T. \c{C}elik, B. A. Berg, H. Meyer-Ortmanns, Int. J. of Mod. Phys. 10, 1999, 1261. 3. J. Borril and M. Gleiser, Phys. Rev. D 51, 1995,4111.
poster Spin models  
11 Atsushi, Yamada atsushi@physics.s.chiba-u.ac.jp top
Atsushi Yamada
A physical interpretation of the eigenmodes of the lattice Ginsparg Wilson type Dirac operator
We pursue Ginsparg and Wilsons' block spin approach in the derivation of the Ginsparg-Wilson relation and study the correspondence of the eigenmodes of the Dirac operators in the continuum and lattice theories. After introducing a suitable cut-off in the continuum theory, we identify unphysical modes of the lattice Dirac operator which do not correspond to any physical modes of the regulated continuum Dirac operator. We also consider zero modes in the continuum and lattice theories. Our studies give a physical interpretation of the expression of the index defined on a lattice and a formal argument on the relation of the indices between the continuum and lattice theories.
parallel talk Chiral fermions and gauge theories   1
12 Azakov, Siyavush azakov_s@hotmail.com top
Azakov S.
The General Correlation Function in the Schwinger Model on a Torus
In the framework of the Euclidean path integral approach we derive the exact general formula for the N-point chiral densities correlator in the Schwinger model on a torus.
poster Topology and confinement  
 
13 Baer, Oliver obaer@lns.mit.edu top
O. Baer, R. Brower, B. Schlittgen, U.-J. Wiese
The Large N_c Limit of Quantum Link Models
In the quantum link formulation of SU(N_c) lattice Yang-Mills theory the gluons are collective excitations of discrete quantum links, propagating in a fifth Euclidean dimension, which eventually disappears by dimensional reduction. In contrast to the standard formulation, a quantum link can be viewed as a composite object, consisting of two rishon fermions. This leads to a completely new approach towards calculating the large N_c limit of gauge theories. By contracting the color indices of rishons belonging to two different quantum links, one can formulate the theory entirely in terms of color neutral Phi-fields. Rishons also carry a flavor index, which varies between 1 and M, the number of rishon flavors. The resulting theory of Phi-fields is a rishon flavor gauge theory with U(M) gauge transformations on the links of the lattice. In order to obtain a large N_c limit which corresponds to the 't Hooft limit, M also needs to be taken to infinity. For any finite M and at strong coupling the theory exhibits an area law for the Wilson loop and therefore shows confinement.
poster Theoretical developments  
14 Bakeyev, Timour bakeev@thsun1.jinr.ru top
T. Bakeyev
A new method for Monte Carlo simulation of theories with Grassmann variables.
A new algorithm for simulation of theories with dynamical fermions is presented. Its application to the models of physical interest is discussed.
poster Algorithms and machines  
15 Bali, Gunnar g.bali@physics.gla.ac.uk top
Gunnar Bali, Peter Boyle, Christine Davies
Where do perturbative and non-perturbative Lattice QCD meet?
We relate recent perturbative calculations of Wilson loops and the lattice potential to results from numerical simulations of QCD with and without sea quarks of a variety of masses and actions. The reliability of "boosted" perturbation theory techniques is investigated and estimates for the QCD running coupling, the static quark self energy and the "beta shifts" that are induced when changing the quark mass in lattice simulations are given.
parallel talk Improvement and renormalization   1
16 Barresi, Andrea barresi@physik.hu-berlin.de top
A. Barresi, G. Burgio, M. Mueller-Preussker
Finite temperature phase transition, adjoint Polyakov loop and topology in SU(2) LGT
We investigate the phase structure of pure SU(2) lattice gauge theory at finite temperature in the mixed fundamental and adjoint representation modified with a Z(2) monopole chemical potential. The decoupling of the finite temperature phase transition from unphysical zero temperature bulk phase transitions is analyzed with special emphasis on the continuum limit. The possible relation of the adjoint Polyakov loop as an order parameter for the finite temperature phase transition with the topological structure of the theory is discussed.
parallel talk Non-zero temperature and density   1
17 Basak, Subhasish basak@theory.saha.ernet.in top
S. Basak and Asit K. De
Investigation of Gauge-fixed pure U(1) theory at strong coupling
Gauge fixing has been very fruitful for abelian lattice chiral gauge theories. So far all the investigations in this theory have been done at relatively weak gauge coupling. Here, we numerically investigate the phase diagram of pure U(1) gauge theory at strong gauge coupling. The FM-FMD phase transition, which proved useful in defining a chiral gauge theory, seems to persist also at strong gauge coupling. However, evidence for confinement is weak.
parallel talk Chiral fermions and gauge theories   2
18 Beard, Bernard bbbeard@cbu.edu top
B.B. Beard
Scaling violations in the antiferromagnetic Heisenberg model
We discuss finite-size scaling of the correlation length in the quantum antiferromagnetic Heisenberg model for various spin magnitudes S, measured with quantum Monte Carlo methods. As S gets larger, scaling violations at large values of \xi(L)/L disappear. This enables the reliable extrapolation of correlation length to astronomical values.
parallel talk Spin models   1
19 Becirevic, Damir Damir.Becirevic@roma1.infn.it top
D.Becirevic, V.Gimenez, V.Lubicz, G.Martinelli, M.Papinutto
Computing the matrix elements of the four-fermion operators with/without subtractions
We present several new results obtained by using the SPQcdR proposal to compute the matrix elements of the 4-fermion operators by using the Wilson action and without encountering the problems of mixing with operators of the same naive dimension. An appropriate comparison with the results obtained by non-perturbatively computed renormalization and subtraction constants is also provided.
parallel talk Hadronic matrix elements   3
20 Belavin, Vladimir belavin@mccme.ru top
V.A. Belavin, M.N. Chernodub, F.V. Gubarev, M.I. Polikarpov
Numerical study of Frohlich and Marchetti monopole creation operator
We perform the numerical study of the monopole creation operator recently suggested by Frohlich and Marchetti. Calculations in compact Abelian Higgs model and in the SU(2) lattice gauge theory in the Maximal Abelian projection show that monopoles are condenced in the confinement phase and are not condenced in the deconfinement phase.
parallel talk Topology and confinement   1
21 Beneke, Martin mbeneke@physik.rwth-aachen.de top
Martin Beneke
CP violation and the CKM matrix
[plenary talk]
plenary talk  
22 Berg, Bernd berg@hep.fsu.edu top
B.A.Berg, U. Heller, H. Markum, R. Pullirsch and W. Sakuler
Zero modes of the Neuberger Dirac operator in 4d U(1) gauge theory
We have calculated the low-lying eigenmodes of the Neuberger overlap-Dirac operator in 4d U(1) lattice gauge theory. In the strong coupling limit we find exact zero modes, similar as for non-Abelian gauge theories. Subsequently, we make an attempt to identify responsilbe topological exitations.
parallel talk Topology and confinement   3
23 BERNARD, Claude cb@lump.wustl.edu top
The MILC collaboration (C. Bernard, T. Burch, S. Datta, T. DeGrand, C. DeTar, Steven Gottlieb, U.M. Heller, K. Orginos, R. Sugar, and D. Toussaint)
Heavy-light decay constants with three dynamical flavors
We present preliminary results for the heavy-light leptonic decay constants in the presence of three light dynamical flavors. We use an order $\alpha_s^2 a^2, a^4$ Symanzik improved gauge action and an order $\alpha_s a^2, a^4$ improved staggered action for the dynamical background configurations. These are then analyzed, in a "partially quenched" manner, with tadpole improved clover valence fermions using the Fermilab formalism. The three-flavor dynamical lattices include a wide range of dynamical quark masses and are matched in lattice spacing at $\approx 0.13$ fm. We have additional data with two flavors and with quenched lattices for comparison. We find a significant increase in $f_B$ with three dynamical flavors over the quenched case; there is also an increase, although not as significant, when we compare three-flavor to two-flavor results.
poster Heavy quark physics  
24 Berruto, Federico fberruto@bu.edu top
F. Berruto, L. Giusti, C. Hoelbling, C. Rebbi
A Simulation of the 't Hooft Model at finite Nc with the Overlap Dirac Operator
We present first results of a numerical simulation of the 't Hooft model, i.e. two dimensional QCD with Nc colors, based on the overlap action. We compute the masses of the low-lying mesonic states and the chiral condensates for U(Nc) and SU(Nc) (Nc=2,3,4) gauge groups. A comparison with the analytic results in the large Nc limit is discussed.
parallel talk Chiral fermions and gauge theories   2
25 Bertle, Roman bertle@kph.tuwien.ac.at top
Roman Bertle, Manfried Faber, Jeff Greensite, Stefan Olejnik
Vortices in the SU(2)-Higgs model
A Higgs field in the fundamental representation is able to screen color-electric charges. In the vortex model the quark-antiquark potential can be understood via the linking between Wilson loops and vortex sheets. We investigate the influence of a massive fundamental Higgs-field on center vortices within SU(2) lattice gauge theory. The simulation for various couplings and temperatures shows, that with increasing coupling between the Higgs and the gauge field vortices become depercolated. In addition the dependence of the results on different methods to identify vortices is discussed.
poster Topology and confinement  
26 Bhattacharya, Tanmoy tanmoy@lanl.gov top
T. Bhattacharya, R. Gupta, W. Lee
Nonperturbative Renormalization: Fixed gauge vs Ward Identities
Calculations of renormalization constants with external quark states in a fixed gauge are computationally easier than those using Ward Identities, and can be used to determine the scale dependent constants as well. The theoretical uncertainties, however, in the fixed gauge method are not fully under control. In this talk, I shall compare our Ward identity results with those obtained from momentum scheme with external quark states in the Landau gauge.
parallel talk Improvement and renormalization   1
27 Bietenholz, Wolfgang bietenho@physik.hu-berlin.de top
W. Bietenholz, N. Eicker, I. Hip, Th. Lippert, K. Schilling
Fast Evaluation of Overlap Fermions
Our ansatz to insert a truncated perfect hypercube fermion into the overlap formula is tested in quenched QCD on lattices of size L=4, 8 and 12. We observe a very significant accelaration of the convergence in the evaluation of the inverse square root, as well as an improved degree of locality compared to the standard overlap fermion.
parallel talk Improvement and renormalization   4
28 Bittner, Elmar bittner@kph.tuwien.ac.at top
E. Bittner, W. Janke, H. Markum
Spins Coupled to a $Z_2$-Regge Lattice in 4d
We study an Ising spin system coupled to a fluctuating four-dimensional $Z_2$-Regge lattice and compare with the results of the four-dimensional Ising model on a regular lattice. Particular emphasis is placed on the phase transition of the spin system and the associated critical exponents. We present result from finite-size scaling analyses of extensive Monte Carlo simulations.
poster Quantum gravity and random surfaces  
29 Blum, Tom tblum@bnl.gov top
T. Blum (RBC Collaboration)
${\rm Im} A_0$, ${\rm Im} A_2$ and $\epsilon^\prime$ from Quenched Lattice QCD
We present results for the $CP$ violating imaginary parts of the isospin 0 and 2 amplitudes (Im$A_{0,2}$) describing $K\to\pi\pi$ decays in the Standard Model. Starting from the lattice values for the low energy constants of $K \rightarrow \pi\pi$ matrix elements, we discuss the operator matching to continuum normalizations and the perturbative Wilson coefficients which are needed to find the physical values for the matrix elements. Combining these with the real parts of the amplitudes, we estimate the value of the direct $CP$ violation parameter $\epsilon^\prime$ and discuss the approximations in this estimate. Our quenched calculation uses domain wall fermions with $L_s=16$ and the Wilson gauge action at $\beta=6.0$ on 16^3 x 32 lattices.
parallel talk Hadronic matrix elements   2
30 Blythe, Danielle pydb@swan.ac.uk top
Danielle Blythe
Functional form for lattice correlators at small times
The analytic form of the lattice quark propagators are used to derive the functional form for short distance mesonic correlators. These are then used to calculate ``Continuum Model'' Ansatz\"e which are compared to Monte Carlo data.
poster QCD spectrum and quark masses  
31 Bogolubsky, Igor bogolubs@cv.jinr.ru top
I.L.Bogolubsky
Hopf index extension and topological solitons in 3D Heisenberg lattice spin models
An extension of the 'continuous' Hopf index is defined for essentialy discrete case - in 3D lattice Heisenberg spin models. A class of such models with competing interactions is considered (ferromagnetic with nearest neighbours, and antiferromagnetic with next-to-nearest neighbours). Stable localized spin configurations (lattice solitons) with unit lattice Hopf index are found which minimize the Hamiltonian of the spin system in the topological sector chosen.
poster Spin models  
32 Borici, Artan borici@ph.ed.ac.uk top
UKQCD Collaboration: A. Borici, B. Joo, A.D. Kennedy, B. Pendleton, U. Wenger
The dynamical Ginsparg-Wilson fermions project
Lattice QCD with Ginsparg-Wilson fermions is a well defined theory at non-zero lattice spacing and smooth gauge fields. The project aims to investigate the feasibility of carrying out realistic dynamical Ginsparg-Wilson fermion simulations and to find those parameters for which the theory is local.
parallel talk Chiral fermions and gauge theories   3
33 Bornyakov, Vitaly vborn@ifh.de top
V.Bornyakov, G.Schierholz, T. Streuer
'Glueball and gluelump spectrum in abelian projected QCD'
We study glueball and gluelump spectra calculated after abelian projection in both quenched and N_f=2 full QCD. The abelian projection is made after MA gauge fixing. We demonstrate that both spectra can be recovered despite the problem with positivity. We suggest the interpretation of some of the gluelump states in the language of the abelian projected theory.
parallel talk Topology and confinement   7
34 Bornyakov, Vitaly vborn@ifh.de top
V.Bornyakov and M.Mueller-Preussker
Continuum limit in abelian projected SU(2) lattice gauge theory
We study the continuum limit of the abelian string tension and the density of abelian monopoles calculated after fixing maximal abelian gauge. We employ the simulated annealing algorithm to fix the gauge. We present the evidence that the abelian string tension converges to the nonabelian one in the continuum limit. For the monopole density we confirm earlier findings that the density of monopoles in the properly defined largest cluster has correct scaling while the total density is divergent in the continuum limit due to ultraviolate contribution. We compare our results with results obtained with the usual iterative gauge fixing algorithm.
poster Topology and confinement  
35 Bowman, Patrick pbowman@csit.fsu.edu top
P.O. Bowman, U.M. Heller and A.G. Williams
The Quark Propagator in Landau and Laplacian Gauges
We study the lattice quark propagator in Landau gauge and Laplacian gauge, which is free of Gribov copies. We use two quark actions: the normal staggered (Kogut-Susskind) action and an improved staggered action, Asqtad. These actions are seen to provide good, clean signals and the effect of order a^2 improvement is clearly seen. The two gauges produce similar results.
parallel talk Improvement and renormalization   4
36 Boyle, Peter paboyle@ph.ed.ac.uk top
Peter Boyle, Gunnar Bali
The interquark potential in lattice perturbation theory to O(alpha^2).
We calculate Wilson loops and derived quantities to O(alpha^2) in lattice perturbation theory. This includes the perturbative static potential and small Wilson loops to O(alpha^2), in the presence of massive dynamical Wilson, Clover and Kogut-Susskind quarks. The results may be used to understand the mass dependent effects of dynamical fermions on the potential, and to obtain the \overline{MS} coupling in a number of ways.
parallel talk Improvement and renormalization   3
37 Brower, Richard C. brower@bu.edu top
Richard C. Brower
Is the Graviton a Domain Wall Glueball?
The AdS/CFT duality conjecture relates strings in higher dimensions to Yang-Mills theory. In particular supergravity excitations in an $AdS^7$ black hole are dual to glueballs states at strong coupling. Comparison of the full spin-parity structure with lattice calculations of the glueball spectrum by Morningstar and PeardDon reveals a remarkable similarity in spite of the limitations of the strong coupling approximation. Further by introducing a domain wall cut off in the UV, a new zero mass tensor state is found giving rise to Einstein Hilbert gravity, as well as a zero mass Kaluza-Klein photon and dilaton states, interacting with QCD glueballs. In this scenario, the "fundamental" superstring for gravity and QCD string for the confined phase are identical with the warped scale factor in the extra dimension accounting for mass hierarchy between $\Lambda_{QCD}$ and $M_{Planck}$. Although this brane world gravity models have not been rigorously constructed in string theory, it does suggest a novel interpretation worthy of consideration.
parallel talk Theoretical developments   2
38 Burch, Tommy tburch@physics.arizona.edu top
Tommy Burch Kostas Orginos Doug Toussaint
Determining hybrid content of heavy quarkonia using lattice NRQCD
Using lowest-order lattice NRQCD to create heavy meson propagators and applying the spin-dependent interaction, $c_B^{} \frac{-g}{2m_q}\vec\sigma\cdot\vec{B}$, at varying intermediate time slices, we compute the off-diagonal matrix element of the Hamiltonian for the quarkonium-hybrid two-state system. Diagonalizing this two-state Hamiltonian, the admixture of hybrid ($|Q\bar{Q}g\rangle$) in the ground state is found. We present results from a set of quenched lattices with an interpolation in quark mass to match the bottomonium spectrum.
parallel talk Heavy quark physics   3
 
39 Campostrini, Massimo Massimo.Campostrini@df.unipi.it top
Matteo Beccaria, Massimo Campostrini, Alessandra Feo
Hamiltonian Monte Carlo simulation of the two-dimensional Wess-Zumino model
We study a Hamiltonian lattice formulation of the two-dimensional N=1 Wess-Zumino model by means of Quantum Monte Carlo techniques. We analyze the performance of the algorithm and present preliminary results on the pattern of supersymmetry breaking.
parallel talk Higgs Yukawa SUSY theories   1
40 Capitani, Stefano stefano@mitlns.mit.edu top
Stefano Capitani
Perturbative renormalization for overlap fermions
Using lattice overlap fermions, we have computed the 1-loop renormalization factors of several operators that measure DIS structure functions and weak amplitudes. Computer codes written in the algebraic manipulation language FORM have been used. The improvement of the operators is also discussed.
parallel talk Improvement and renormalization   4
41 Caracciolo, Sergio sergio.caracciolo@sns.it top
Sergio Caracciolo, Andrea Pelissetto, Antonio Rago
Two-loop propagator for Wilson fermions
We have computed the propagator of the Wilson fermions at two loops in lattice QCD by evaluating Feynman integrals with the coordinate-space method. We can thus check a recent two-loop computation of the critical mass for Wilson fermions. We present the results for different types of infrared regularization. We confirm both the previous numerical estimates and the power of the coordinate space method whenever high accuracy is needed.
poster Improvement and renormalization  
42 Caselle, Michele caselle@to.infn.it top
M. Caselle, M. Hasenbusch, P.Provero and K. Zarembo
Bound states in the 3d Ising model and implications for QCD at finite temperature and density
We study the spectrum of bound states of the three dimensional Ising model in the (h,beta) plane near the critical point. In particular we concentrate on the value of the binding energy as we move around the critical point. Our results support the existence of two well defined phases. A first one, near the h=0 axis in the beta>beta_c regime, in which the binding energy is greater than zero and decreases as the magnetic field is increased and a second one, near the h=0 axis in the beta<beta_c regime in which the binding energy is zero. The two phases are separated by a line in the (h,beta) plane which lies near (and could even coincide with) the Kertesz line. This result has various interesting implications if we look at the three dimensional Ising model in a magnetic field as an effective theory for hot QCD in the (mu,T) plane. The bound states that we discuss can be easily identified with diquarks which appear in the colour superconductivity phase and the unbinding line that we detect can be mapped into the line which separates this phase from the quark gluon plasma one.
parallel talk Non-zero temperature and density   1
43 catterall, simon smc@physics.syr.edu top
Simon Catterall
Exact Lattice Supersymmetry
We construct a lattice action for the two-dimensional Wess Zumino model with extended (N=2) supersymmetry and show that it retains a exact supersymmetry on the lattice. The presence of this invariance guarantees that the full supersymmetry is restored without fine tuning in the continuum limit. We present results from a dynamical fermion simulation which support these conclusions
parallel talk Higgs Yukawa SUSY theories   1
44 Cea, Paolo Paolo.Cea@ba.infn.it top
P. Cea, M. Consoli, and L. Cosmai
Dynamics of the scalar condensate in thermal four dimensional self-interacting scalar field theory on the lattice.
We simulate the scalar self-interacting four dimensional field theory on the lattice at finite temperature. By varying the temperature we find that our scalar system undergoes a phase transition from the broken phase to the symmetric phase. Our data show that the zero-momentum wave-function renormalization increases by approaching the critical temperature. On the other hand, the finite-momentum wave-function renormalization remains remarkably constant.
poster Higgs Yukawa SUSY theories  
45 Chandrasekharan, Shailesh sch@phy.duke.edu top
S. Chandrasekharan
Superconductivity and Chiral Symmetry Breaking using Fermion Clusters
Recent progress suggests that it may be useful not to integrate out the fermions but to identify the relevant degrees of freedom in terms of fermionic clusters. We give two examples for this view point. We first discuss how superconductivity arises in a Hubbard Type Model in the language of fermionic clusters. This has resulted in the first precision study of a Kosterlitz-Thouless phase transition. We then discuss how chiral symmetry breaking arises in strongly coupled Lattice QCD in the language of fermion clusters.
parallel talk Theoretical developments   2
46 Chatelain, Christophe chatelai@itp.uni-leipzig.de top
Christophe Chatelain, Bertrand Berche, Wolfhard Janke, Pierre Emmanuel Berche
Evidence for softening of first-order transition in 3D by quenched disorder
We study by extensive Monte Carlo simulations the effect of random bond dilution on the phase transition of the three-dimensional 4-state Potts model which is known to exhibit a strong first-order transition in the pure case. The phase diagram in the dilution-temperature plane is determined from the peaks of the susceptibility for sufficiently large system sizes. In the strongly disordered regime, numerical evidence for softening to a second-order transition induced by randomness is given. Here a large-scale finite-size scaling analysis, made difficult due to strong crossover effects presumably caused by the percolation fixed point, is performed.
parallel talk Spin models   1
47 Chernodub, Maxim maxim@heron.itep.ru top
M.N.Chernodub, F.V.Gubarev, M.I.Polikarpov and V.I.Zakharov
Heavy monopole potential in gluodynamics
We discuss predictions for the interaction energy of the fundamental monopoles in gluodynamics introduced via the 't Hooft loop. We argue, in particular, that the dual gluon interacting with the magnetic charges can be considered as a U(1) gauge boson. We predict the intermonopole potential at short and large distances and at small and high temperatures. Our predictions are in qualitative agreement with the existing lattice data.
parallel talk Topology and confinement   1
48 Chiu, Ting-Wai twchiu@phys.ntu.edu.tw top
Ting-Wai Chiu
The index of a GW Dirac operator
A novel feature of a Ginsparg-Wilson Dirac operator is discussed. Unlike the Dirac operator for massless fermions in the continuum, this GW Dirac operator does not possess exact zero modes for any topologically-nontrivial background gauge fields, even though it is local, doublers-free, and reproduces correct axial anomaly in topologically-trivial gauge backgrounds.
parallel talk Chiral fermions and gauge theories   1
49 Choe, Seungho schoe@hiroh2.hepl.hiroshima-u.ac.jp top
O. Miyamura and S. Choe
Chemical potential response of pseudoscalar meson masses in the Nambu--Jona-Lasinio model
Using the Nambu--Jona-Lasinio (NJL) model we study the chemical potential response of the pion and kaon masses as a function of temperature and chemical potential, i.e., $dm/d\mu$ ($T$, $\mu$). First, we obtain the responses assuming that the vector--axial-vector coupling is zero ($g_V$ = 0). Then, we include a non-zero $g_V$, and study the effects of $g_V$ on the responses. We find that the behavior of $dm/d\mu$ for the pion is quite different from that for the kaon. It means that $dm/d\mu$ is much dependent on the mass difference between the two quarks, i.e., the $u$ and $s$ quarks, or even between the $u$ and $d$ quarks. Our results can give a clue for future studies of $dm/d\mu$ on the lattice.
poster Non-zero temperature and density  
50 Christ, Norman nhc@phys.columbia.edu top
Norman Christ
Status of the QCDOC Project
[QCD machine report]
plenary talk  
51 Christ, Norman nhc@phys.columbia.edu top
Norman Christ and Lingling Wu
The QCD Phase Transition with Domain Wall Fermions
Earlier QCD thermodynamics studies on 8^3 x 4 and 16^3 x 4 volumes are enhanced with increased statistics and extended to a smaller lattice spacing using a 16^3x6 volume. A comparison between the results for four and six time slices suggests that the domain wall method provides a consistent description of finite temperature QCD. Added statistics give a more precise measurment of anomalous chiral symmetry breaking above the phase transition. We also provide an explicit comparsion with the smaller, non-anomalous chiral symmetry breaking effects present in the domain wall calculation. Explicit determination of the lowest Dirac eigenvalues gives further information about possible topological effects.
parallel talk Non-zero temperature and density   2
52 Christ, Norman nhc@phys.columbia.edu top
Norman Christ
Cost of dynamical quark simulations
[Panel statement]
plenary talk  
53 Clowser, Jonathan pyjc@swan.ac.uk top
J. Clowser
Application of Maximum Entropy Method to Dynamical Fermions.
MEM is applied to dynamical fermion simulations of the (2+1)D Nambu Jona-Lasinio model. This model is particular interesting because it has a phase where there is a resonance, and hence the simple pole assumption of traditional fitting procedures breaks down. Results for the spectral function of this model obtained from MEM will be shown.
parallel talk Non-zero temperature and density   4
54 Colangelo, Gilberto gilberto@physik.unizh.ch top
Gilberto Colangelo
Chiral perturbation theory, dispersion relations and final state interactions in K -> pi pi
[plenary talk]
plenary talk  
55 collins, sara collins@physics.gla.ac.uk top
S. Collins, C. Davies, G. Lepage, J. Shigemitsu
A nonperturbative determination of c_A and the scaling of f_pi and renormalised quark mass
We calculate the O(a) improvement coefficient for the axial-vector current using the nonperturbative method proposed by the LANL group. Results for the coefficient in the range beta=5.93 to 6.2 are presented. We find c_A is close to the 1-loop tadpole-improved perturbative value. In addition, scaling of the pseudoscalar decay constant and renormalised quark mass is improved compared to that obtained using the (larger) c_A values obtained by the ALPHA collaboration.
parallel talk Improvement and renormalization   1
56 Cosmai, Leonardo Leonardo.Cosmai@ba.infn.it top
P. Cea and L. Cosmai
External field dependence of the deconfinement temperature in SU(3).
We study the vacuum dynamics of SU(3) lattice gauge theory at finite temperature. Using the lattice Schroedinger functional, the SU(3) vacuum is probed by means of an external constant Abelian chromomagnetic field. Our preliminary numerical data suggest that, by increasing the strength of the applied external field, the deconfinement temperature decreases towards zero. This means that strong enough chromomagnetic fields destroy the confinement of color.
poster Topology and confinement  
57 Costas, Strouthos pycs@swan.ac.uk top
S.J. Hands, J.B. Kogut and C.G. Strouthos
The three-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature.
We present results from numerical simulations of the (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry and N=4 fermion species at non-zeto temperature. We provide evidence that there are two different chirally symmetric phases separated by a Berezinskii-Kosterlitz-Thouless transition and that the fermions acquire dynamical mass which remains non-zero even in the high temperature phase.
parallel talk Non-zero temperature and density   5
58 Creutz, Michael creutz@bnl.gov top
Michael Creutz, Ivan Horvath, and Herbert Neuberger
A new fermion Hamiltonian for lattice gauge theory
We formulate a Hamiltonian vector-like lattice gauge theory using the overlap formula for the spatial fermionic part, $H_f$. We define a chiral charge, $Q_5$ which commutes with $H_f$, but not with the electric field term. There is an interesting relation between the chiral charge and the fermionic energy with consequences for chiral anomalies in the adiabatic limit on the gauge fields.
poster Chiral fermions and gauge theories  
59 Cristian, Calin cristian@phys.columbia.edu top
T. Blum, P. Chen, N. Christ, C. Cristian, C. Dawson, G. Fleming, R. Mawhinney, S. Ohta, G. Siegert, A. Soni, P. Varanas, M. Wingate, L. Wu, Y. Zhestkov
${\rm Re} A_0$ and ${\rm Re} A_2$ from Quenched Lattice QCD
We have used domain wall fermions to calculate $K \rightarrow \pi$ and $K \rightarrow 0$ matrix elements which can be used to determine the $\Delta I = 1/2$ rule for K decays in the Standard Model. Nonlinearities in the $\Delta I = 3/2$ matrix elements due to chiral logarithms are explored and the subtractions needed for the $\Delta I = 1/2$ matrix elements are discussed. Using renormalization factors calculated using non-perturbative renormalization then yields values for real $A_0$ and $A_2$. We present the details of our quenched $16^3 \times 32 \times 16$, $\beta = 6.0$, $M_5 = 1.8$ simulation, where a previous calculation showed that the finite $L_s$ chiral symmetry breaking effects are small ($m_{res} \approx 4 \rm MeV$).
parallel talk Hadronic matrix elements   2
60 Cucchieri, Attilio attilio@if.sc.usp.br top
Attilio Cucchieri, Tereza Mendes and Daniel Zwanziger
SU(2) Running Coupling Constant and Confinement in Minimal Coulomb and Landau Gauges
We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Simulations are done in pure SU(2) lattice gauge theory at beta = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.
parallel talk Topology and confinement   6
 
61 D'Elia, Massimo delia@ge.infn.it top
J.M. Carmona, M. D'Elia, A. Di Giacomo, B. Lucini, G. Paffuti
DUAL SUPERCONDUCTIVITY AND CHIRAL SYMMETRY IN FULL QCD
A disorder parameter detecting dual superconductivity of the vacuum is measured across the chiral phase transition in full QCD with two flavours of dynamical staggered fermions. The observed behaviour is similar to the quenched case.
parallel talk Topology and confinement   1
62 Damgaard, Poul poul.damgaard@cern.ch top
Poul Damgaard
Microscopic Dirac operator spectra
[plenary talk]
plenary talk  
63 Davies, Christine c.davies@physics.gla.ac.uk top
C. Davies, S. Collins, G. Cowan, J. Hein, J. Shigemitsu
f_b from A_k
We discuss the extraction of f_B from moving B mesons and using the spatial axial current. The comparison to zero momentum temporal axial current calculations is a necessary check of lattice systematic errors. The optimal smearing for moving B mesons is described.
parallel talk Heavy quark physics   5
64 de Forcrand, Philippe forcrand@itp.phys.ethz.ch top
Ph. de Forcrand and L. von Smekal
't Hooft loops, electric flux sectors and confinement
Center vortices are strong candidates as the effective degrees of freedom responsible for confinement in Yang-Mills theory. Their free energy can be studied in a gauge invariant manner by considering the 't Hooft loop. At finite temperature, the spatial 't Hooft loop shows an area law in the hot, deconfined phase, and a screened behaviour in the cold, confined phase. By considering multiple 't Hooft loops, one can construct the partition function of a given electric flux sector, which shows confinement of electric charges (quarks) below T_c. Universality relates the magnitudes of the string tension and the dual string tension in the two phases.
parallel talk Topology and confinement   6
65 DeGrand, Thomas degrand@aurinko.colorado.edu top
T. DeGrand
Understanding chiral symmetry breaking with the overlap action
A chiral fermion action allows one to do very clean studies of chiral symmetry breaking in QCD. I will briefly describe how to compute with the overlap action (relatively) cheaply, and then turn to physics: Low modes of the Dirac operator show a ``lumped'' chiral density which peaks at the locations of instantons and anti-instantons. These modes dominate correlation functions at small quark mass in many channels. The picture qualitatively (and in some cases quantitatively) resembles an instanton liquid model.
parallel talk Topology and confinement   4
66 DI GIACOMO, ADRIANO adriano.digiacomo@df.unipi.it top
A.DI GIACOMO , G.PAFFUTI
CONFINEMENT AND MONOPOLE CONDENSATION:SOME PROPERTIES OF THE DISORDER PARAMETER
It is explicitely demonstrated that the disorder parameter used in previous works to detect dual superconductivity of the confined phase of QCD is gauge invariant and does not contradict Elitsur theorem. Problems related to the definition of monopoles in SU(N) gauge theories are also discussed.
parallel talk Topology and confinement   1
67 Di Pierro, Massimo mdp@fnal.gov top
Massimo Di Pierro
FermiQCD. A toolkit for rapid development of parallel lattice QCD applications.
FermiQCD is a collection of classes and algorithms, written in C++, for rapid development of robust and efficient parallel lattice QCD applications (with arbitrary lattice dimensions and gauge groups). FermiQCD is based on Matrix Distributed Processing therefore all the algorithms are automatically parallelized with MPI. FermiQCD incorporates Luescher's SSE2 optimizations for Pentium 4 for Wilson, Clover, Staggered and Asqtad Staggered fermionic actions.
poster Algorithms and machines  
68 Di Pierro, Massimo mdp@fnal.gov top
Massimo Di Pierro and Paul Mackenzie
On the non-pertubative tuning of the O(a^2) improved Kogut-Susskind action
We discuss the possibility of a non-perturbative tuning of the effective coefficients that appear in the O(a^2) improved action for Kogut-Susskind fermions. The mass splitting for the different pions is used as a measure of the symmetry breaking effects introduced by O(a^2) discretization errors.
parallel talk Improvement and renormalization   2
69 Diamantini, Maria Cristina cristina.diamantinitrugenberger@cern.ch top
P.H. Damgaard, M.C. Diamantini, P. Hernandez and K. jansen
Finite Size Scaling of Meson Propagators in Quenched Chiral Perturbation Theory
We present some new results for meson propagators and the quark condensate at finite volume in the chiral symmetry restoration regime in quenched chiral perturbation theory.
poster Chiral fermions and gauge theories  
70 DIMOPOULOS, PETROS pdimop@central.ntua.gr top
P. DIMOPOULOS, K. FARAKOS, and S. NICOLIS
MULTI-LAYER STRUCTURE IN THE STRONGLY COUPLED 5D ABELIAN HIGGS MODEL
We explore the phase diagram of the five-dimensional anisotropic Abelian Higgs model by Monte Carlo simulations. In particular, we study the transition between the confining phase and the four dimensional layered Higgs phase. We find that, in a certain region of the lattice parameter space, this transition can be first order and that each layer moves into the Higgs phase independently of the others ( decoupling of layers). As the Higgs couplings vary, we find, using mean field techniques, that this transition may probably become second order.
poster Higgs Yukawa SUSY theories  
71 Dittmann, Leander lrd@tpi.uni-jena.de top
L. Dittmann, T. Heinzl, A. Wipf
A lattice study of the Faddeev-Niemi effective action
We derive an effective action for the low energy sector of SU(2) Yang-Mills theory in terms of a unit color vector field n. Our ansatz for the effective action includes all operators with O(3)-symmetry and maximally four n-fields and/or derivatives. The effective couplings are obtained via inverse Monte Carlo techniques starting from a thermalized SU(2) Yang-Mills ensemble.
poster Topology and confinement  
72 Dong, Shao-Jing super124@ukcc.uky.edu top
Shao-Jing Dong, T. Draper, Keh Fei Liu, University of Kentucky F. X. Lee, George Washington University and J. B. Zhang, University of Adlaide
Pion Decay Constant, Z_A, and quark masses from Overlap Fermions
We report our calculation of the pion decay constant $f_\pi$, the axial renormalization constant $Z_A$, and the quark masses from the overlap fermions. The calculation is done on a quenched lattice with a size of $20^4$ and $a=0.15fm$ using improved gauge action. The smallest pion mass we reach is at 203 +- 25 MeV.
parallel talk Hadronic matrix elements   4
73 Draper, Terrence draper@pa.uky.edu top
Shao-Jing Dong (University of Kentucky), Terrence Draper (University of Kentucky), Ivan Horvath (University of Kentucky), Frank X. Lee (George Washington University), Keh-Fei Liu (University of Kentucky), and Jianbo Zhang (University of Adelaide)
Quenched Chiral Behavior of Hadrons with Overlap Fermions
We study the quenched chiral behavior of hadrons with the pseudoscalar mass as low as $\approx 200\,{\rm MeV}$. These include the spectrum, the zero mode contribution to the pion correlation function, the renormalized quark mass, and quenched chiral logs in the pion mass and pseudoscalar decay constant. We also look at the quenched artifacts in the $a_0$ and $N^*$ propagators. The calculation is done on a quenched lattice of size $20^4$ and $a = 0.157(3)\,{\rm fm}$ using overlap fermions and an improved gauge action.
poster QCD spectrum and quark masses  
74 Dreher, Patrick dreher@mit.edu top
P. Dreher, MIT W. Akers, J. Chen, Y. Chen, C. Watson, Jefferson Lab
Development of Web-based Tools for Use in Hardware Clusters Doing Lattice Physics
Jefferson Lab and MIT are developing a set of web-based tools within the Lattice Hadron Physics Collaboration to allow lattice QCD theorists to treat the computational facilities located at the two sites as a single meta-facility. The prototype Lattice Portal provides researchers the ability to submit jobs to the cluster, browse data caches, and transfer files between the two sites and between cache and off-line storage. The user can view the configuration of the PBS servers and to monitor both the status of all batch queues as well as the jobs in each queue. Work is starting on expanding the present system to include job submissions at the meta-facility level (shared queue), as well as enhanced policy-based data management capabilities.
poster Algorithms and machines  
75 Duncan, Anthony tony@dectony.phyast.pitt.edu top
A. Duncan, E.Eichten, J. Yoo
Hadronic Correlators from All-point Quark Propagators
A method for computing all-point to all-point quark propagators is applied to a variety of processes of physical interest in lattice QCD. The method allows, for example, efficient calculation of disconnected parts and full momentum-space 2 and 3 point functions. Examples discussed (using both quenched and dynamical configurations) include: extraction of chiral Lagrangian parameters from current correlators, the pion form factor, and the unquenched eta-prime.
parallel talk Algorithms and machines   2
76 Durr, Stephan stephan.duerr@psi.ch top
Stephan Durr
Topology and hadron correlators in the $N_f=2$ Schwinger model
Whether the topological charge of the gauge background has an influence on typical hadron correlators is analyzed in the Schwinger model with 2 active flavours. To this end Pion correlators are determined on configurations with fixed topological charge. It turns out that whether topology matters depends on the numerical value of a specific function of the quark mass and the box volume which is in close analogy to the Leutwyler Smilga parameter in full QCD.
parallel talk Topics in gauge theories   1
 
77 Edwards, Robert edwards@jlab.org top
Robert Edwards
Topology and low-lying fermion modes
[plenary talk]
plenary talk  
78 Eichten, Estia eichten@mcs.com top
E. Eichten, A. Duncan and H. Thacker
Unquenched Studies using the Truncated Determinant Algorithm
A status report on full QCD studies using the Truncated Determinant Algorithm with two light quarks. The focus will be on string breaking and the masses of light hadrons. Studies at very light quark masses are included.
parallel talk Topology and confinement   5
79 Eicker, Norbert eicker@theorie.physik.uni-wuppertal.de top
N. Eicker for the SESAM collaboration
Light Quark Masses with $N_f=2$ Wilson fermions: an Update from SESAM/T$\chi$L
We present new results on the mass of the light and strange quarks from SESAM/T$\chi$L. The results were obtained on lattice-volumes of $16^3\times 32$ and $24^3\times 40$ points, which allows to investigate finite-size effects. Since the SESAM/T$\chi$L ensembles with \beta=5.6 are now complemented by configurations with \beta=5.5, moreover, we are able to attempt the continuum extrapolation of the quark masses with standard Wilson fermions.
parallel talk QCD spectrum and quark masses   1
80 Ejiri, Shinji S.Ejiri@swansea.ac.uk top
Shinji Ejiri
Aspects of thermal phase transition of 2-flavor QCD with small chemical potential
QCD at finite temperature with two flavours of staggered fermions are studied. We estimate the quark mass dependence and the chemical potential response of the critical temperature by applying the reweighting method to the fermionic part of the Boltzmann factor.
poster Non-zero temperature and density  
81 Engelhardt, Michael engelm@pion08.tphys.physik.uni-tuebingen.de top
M. Engelhardt, M. Faber, H. Reinhardt
Center vortex model for the infrared sector of Yang-Mills theory
A model for the infrared sector of Yang-Mills theory is presented, based on magnetic vortices represented by (closed) random surfaces. The random surfaces, governed by an action related to their curvature, are investigated using Monte Carlo methods on a hypercubic lattice. A low-temperature confining phase and a high-temperature deconfined phase are generated by this simple dynamics. After fixing the parameters of the model such as to reproduce the relation between the deconfinement temperature and the zero-temperature string tension found in lattice Yang-Mills theory, a surprisingly accurate prediction of the spatial string tension in the deconfined phase results. Furthermore, the Pontryagin index associated with the lattice random surfaces of the model is constructed. This allows to also predict the topological susceptibility; the result is compatible with measurements in lattice Yang-Mills theory. Thus, for the first time an effective model description of the infrared sector emerges which simultaneously and consistently reproduces both confinement and the topological aspects of Yang-Mills theory within a unified framework.
parallel talk Topology and confinement   2
 
82 Faber, Manfried bertle@kph.tuwien.ac.at top
Roman Bertle, Michael Engelhardt, Manfried Faber
Topological Susceptibility of Monte-Carlo Generated Projected Vortices
We identify thin center vortices in Monte-Carlo generated $SU(2)$ lattice Yang-Mills configurations using maximal center gauge and center projection. The topological susceptibility carried by these vortices is measured. In order to eliminate ultraviolet fluctuations two different smoothing procedures are applied before performing the measurements. The susceptibilities resulting from both methods are compatible with the one obtained from the full unprojected configurations by conventional methods.
parallel talk Topology and confinement   2
83 Farchioni, Federico farchion@mail.desy.de top
F. Farchioni, A. Feo, R. Kirchner, T. Galla, C. Gebert, I. Montvay, G. M\"unster, A. Vladikas.
The supersymmetric Ward identities on the lattice
We present further results concerning the study of the lattice SUSY Ward Identities (WIs) in the N=1 SU(2) SUSY Yang-Mills theory (SYM). The study is part of a larger project in which SYM is simulated with Wilson fermions (gluinos) by the two-step multi-bosonic (TSMB) dynamical-fermion algorithm. We consider $\beta$=2.3 and $\kappa$=0.1925, 0.194, 0.1955, corresponding to a supposedly light gluino. As a result of the analysis of the WIs in the on-shell regime, we determine the ratio of the bare gluino mass $m_{\tilde{g}}$ with the coefficient multiplying the SUSY current in the lattice WIs, $Z_S=O(1)$, and the ratio of the coefficient of the mixing current $Z_T=O(g^2)$ with $Z_S$. The behavior of the determined ratios as a function of $\kappa$ is consistent with expectations, the first one allowing an estimate of the critical value by extrapolation to zero gluino mass.
parallel talk Higgs Yukawa SUSY theories   1
84 Feo, Alessandra feo@uni-muenster.de top
F. Farchioni, A. Feo, T. Galla, C. Gebert, R. Kirchner, I. Montvay, G. M\"unster, R. Peetz.
One-loop lattice perturbation theory of the supersymmetric Ward identities.
We present preliminary results of a study of the SUSY Ward identities (WIs) for the $N=1$ $SU(2)$ SUSY Yang-Mills theory (SYM) in the context of one-loop perturbation theory on the lattice. The supersymmetry on the lattice is explicitly broken by the gluino mass and lattice artifacts. However, the renormalization of the local supercurrent can be carried out in a scheme that restores the nominal continuum WIs. The perturbative calculation of the renormalization constants and mixing coefficients for the local supercurrent is presented.
parallel talk Higgs Yukawa SUSY theories   1
85 Fiebig, H Rudolf fiebig@fiu.edu top
H Rudolf Fiebig (for the LHPC)
Spectral density calculations in a heavy-light meson-meson system
A system of two static quarks, at fixed distances R, and two light quarks is studied on an anisotropic lattice. Excitations by operators emphasizing quark or gluon degrees of freedom are examined. The maximum entropy method is applied in the spectral analysis. These simulations ultimately aim at learning about mechanisms of hadronic interaction.
parallel talk Hadronic matrix elements   4
86 Fleming, George gfleming@mps.ohio-state.edu top
George T. Fleming, Pavlos M. Vranas
Staggered domain wall fermions, Part I
We discuss the various reasonable approaches one might employ to include the spin diagonalization technique of staggered fermions within the domain wall framework. We will show that the choices of actions are quite restrictive if one intends to preserve all of the staggered lattice symmetries. We will also discuss the transfer matrix and the connection to the overlap formalism.
parallel talk Chiral fermions and gauge theories   2
87 Fodor, Zoltan fodor@poe.elte.hu top
Z. Fodor, S.D. Katz
A new method to study lattice QCD at finite T and mu and the determination of the critical point on the phase diagram
We propose a method --an overlap ensuring multi-parameter reweighting technique-- to study QCD at finite temperature and chemical potential. We apply this method and determine the T-mu phase diagram of QCD with n_f=2+1 dynamical staggered quarks with semi-realistic masses on L_t=4 lattices. Based on universal arguments, it is believed that a critical point exists on the T-mu plane, which we also locate by finite size scaling of the Lee-Yang zeros.
parallel talk Non-zero temperature and density   3
88 Fortunato, Santo fortunat@physik.uni-bielefeld.de top
Santo Fortunato, Helmut Satz
Cluster Percolation and Explicit Symmetry Breaking in Spin Models
The introduction of an external field $H$ in the Hamiltonian of a classical spin model breaks explicitly the global rotational symmetry enjoyed by the model when $H=0$. Because of that the model does not exhibit critical behaviour in the conventional sense, although it shows a number of interesting "pseudocritical" features. We investigate the relationship between such features and the percolation properties of the clusters which reproduce the critical behaviour of the model when $H=0$. We performed two different series of studies according to the order of the phase transition for $H=0$. For a second order phase transition we studied, by means of Monte Carlo simulations, the relationship between the Kert\'esz line and the `pseudocritical' line. Our comparison, performed on the 2D Ising model and on the 3D O(2) model at very small values of the external field, shows that the line of percolation critical points has the same functional form, a simple power law with exponent 1/(\beta\delta), as the pseudocritical line. For a first order phase transition we investigated the 3D 3-state Potts model: we find that along the line of first order phase transitions of the model the percolation strength of the standard Fortuin-Kasteleyn clusters makes a jump from zero to a non-zero value at the critical threshold. Exactly at the endpoint the percolation transition becomes continuous.
parallel talk Spin models   1
89 Fosco, Cesar fosco@cab.cnea.gov.ar top
C. D. Fosco and A. López
Generalized parity transformations in the lattice Chern-Simons theory
We consider renormalization effects in the Abelian Chern-Simons (CS) theory. We show that those effects change the classical (odd) behaviour of the pure CS action under parity, and discuss them explicitly for the case of a lattice regularization. We also present results for the theory defined in the continuum, and explore the physical consequences of this anomaly. We also show that generalized, non local parity transformations can be defined in such a way that the regularized theory is odd, and that those transformations play an analogous role to the modified chiral symmetry of Ginsparg-Wilson fermions.
parallel talk Theoretical developments   1
90 Frezzotti, Roberto Roberto.Frezzotti@mib.infn.it top
M. Della Morte, R. Frezzotti, J. Heitger
Quenched twisted mass QCD at small quark masses and in large volume
Lattice twisted mass QCD (tmQCD) with Wilson quarks is an ultraviolet regularization of QCD with two mass degenerate flavours. This lattice regularization is free from spurious fermion zero modes and is hence expected to be very convenient for pushing non-perturbative studies of QCD further towards the chiral limit. To check this expectation, we have performed extensive quenched simulations of lattice tmQCD with a lattice cutoff 1/a of about 2 and 2.8 GeV. The quark masses and the spatial lattice sizes (L) have been chosen such that M_pion/M_rho ranges from 0.65 to 0.47 and L*M_pion is about 5. We focused our attention onto the mass and the decay constant of the pseudoscalar and vector mesons, and set up the renormalization scheme so to directly compare (wherever possible) with results from standard quenched lattice QCD with Wilson quarks. Non-perturbative O(a) improvement has been implemented in both lattice formulations.
poster QCD spectrum and quark masses  
 
91 Gadiyak, Valeriya gadiyak@physics.umd.edu top
Valeriya Gadiyak Xiangdong Ji Chulwoo Jung
Lattice Calculations of the Magnetic Moment and Electromagnetic Form Factors of the Nucleon.
The internal structure of the nucleon is a very important problem for hadron physics as the hydrogen atom is for atomic physics. Despite many years of effort, theoretical understanding of the structure of the nucleon in terms of the fundamental degrees of freedom, quarks and gluons, remains elusive. Fortunately, for many years experiments have been performed to obtain information about nucleon structure. Useful probes of nucleon structure exist which direct couple to quarks and gluons. Understanding of this experimental information gives us check of the theory of strong interactions. Now it is one of the most important and challenging aspects of theoretical physics. One of the possible and useful probes of the nucleon structure is probe of the electromagnetic form factors and magnetic moments. The magnetic moments of the proton and neutron are known to very high precision from experiment. Lattice calculations of the moments could provide a useful check of the lattice simulations of the nucleon. There are two alternative ways to calculate the magnetic moment: first, extrapolation of the magnetic form factor G_M(Q^2) to Q^2=0, and second, using direct definition of the magnetic moment as an integral over [r x J]. Both methods should be investigated to fully understand errors. Purpose of our work is calculation of magnetic moment of nucleons using both methods and comparison with experiment. Systematic errors are also studied.
parallel talk Hadronic matrix elements   1
92 Garcia-Perez, Margarita marga@mail.cern.ch top
QCD-TARO Collaboration
Quenched charmonium near the continuum limit
We study relativistic charmonium on a very fine quenched lattice (beta=6.6). We concentrate on the calculation of the hyperfine splitting of the J/psi and its dependence on the pseudoscalar mass. A systematic study of the effect of clover and tadpole improvement is presented. Results for the eta_c and J/psi wave functions will also be discussed.
parallel talk Heavy quark physics   2
93 Gattringer, Christof christof.gattringer@physik.uni-regensburg.de top
C.Gattringer, M.Goeckeler, P.E.L. Rakow, S. Schaefer, A. Schaefer
Topological excitations in finite temperature lattice QCD
We analyze spectra of a chirally improved lattice Dirac operator, as well as locality and local chirality of its eigenvectors. We use quenched SU(3) gauge field configurations on both sides of the QCD phase transition. Our Dirac operator is an approximate solution of the Ginsparg-Wilson equation. Studying the finite volume behaviour of our observables and their scaling with beta we find evidence for the interpretation of the dominant excitations seen by the Dirac operator as a fluid of instanton-like objects.
parallel talk Topology and confinement   4
94 Gavai, Rajiv V. gavai@tifr.res.in top
R. V. Gavai
The Deconfinement Transition in SU(4) Lattice Gauge Theory
The deconfinement transition in SU(4) lattice gauge theory is studied on $N_s^3 \times N_t$ lattices with $N_s$ = 8, 10, 12 and $N_t$ = 4 and 6 using a modified Wilson action which is expected to have no bulk transitions. The susceptibility $\chi_{|L|}^{\rm max}$ is found to increase {\it linearly} with spatial volume for $N_t$ = 4, indicating a first order deconfinement phase transition. However, the average action at the transition point shows a {\it non-gaussian} distribution and the corresponding $\chi^{\rm max}$, albeit very tiny, also increases linearly with volume.
parallel talk Non-zero temperature and density   4
95 Gebert, Claus Claus.Gebert@desy.de top
F. Farchioni, C. Gebert, I. Montvay, L. Scorzato
QCD spectroscopy with three light quarks
The parameters of the low energy effective chiral Lagrangian can be determined by numerical simulations with three sufficently light quark flavours. Such Monte Carlo simulations can be performed with the two-step multi-bosonic (TSMB) algorithm which we previously used in supersymmetric Yang-Mills theory. We present first results concerning the applicability of this algorithm to QCD spectroscopy with three light quarks. The performance of its implementation on up-to-date supercomputers (Cray T3E, ApeMille) is investigated. Results from the tuning of the quark mass (by using its relation to the pseudoscalar mass) and the lattice spacing (by the Sommer scale $r_0$) as required for a reliable extraction of the Gasser-Leutwyler parameters are presented.
parallel talk QCD spectrum and quark masses   1
96 Gehrmann, Bernd bernd@physik.hu-berlin.de top
Bernd Gehrmann, Juri Rolf, Stefan Kurth, Ulli Wolff
Schrödinger functional at negative flavour number
We study the Schrödinger functional coupling for lattice Yang-Mills theory coupled to an improved bonosic spinor field, which corresponds to QCD with minus two light flavours. This theory serves as a less costly testcase than QCD for the scaling of the coupling and the decoupling of heavy quarks.
parallel talk Improvement and renormalization   2
97 Gill, James jfg@ph.ed.ac.uk top
J. Gill, ukqcd collaboration
Semileptonic decay of a heavy light pseudoscalar to a light vector meson
The form factors for the semileptonic decay of a heavy light pseudoscalar to a light vector meson are calculated in lattice QCD. The relativistic, noperturbatively improved action and quenched approximation are used. Results are presented for the case D_s -> phi and extrapolated to B -> rho.
parallel talk Heavy quark physics   4
98 Giusti, Leonardo lgiusti@bu.edu top
L. Giusti, C. Hoelbling, C. Rebbi
Preliminary results on the light quark masses with overlap fermions
We present our first results for the light quark masses computed with the overlap action in the quenched approximation at beta=6.0 and V=16^3X32. The relevant renormalization constants are computed non-perturbatively in the RI scheme and matched to MSbar at the NNLO.
parallel talk Chiral fermions and gauge theories   3
99 Gliozzi, Ferdinando gliozzi@to.infn.it top
Ferdinando Gliozzi, Antonio Rago
String breaking mechanisms induced by magnetic and electric condensates
In gauge theories coupled to matter there can be two different phases where the flux connecting external sources tends to form confining strings. The much more studied case is characterized by the condensation of magnetic monopoles. Sometimes one can find another phase with simultaneous condensation of magnetic and electric charges. In both phases the confining string breaks down at a given scale because of pair creation, however the mechanism is different. In the former case the string breaking is a mixing phenomenon which is invisible in the Wilson loops. As an example, in a 3D Z2 gauge-Higgs model we have verified that the Wilson loops obey a perfect area law even at distances larger than five times the string breaking scale. On the contrary in presence of both electric and magnetic condensates we argue that the string breaking is visible even in the Wilson loop, because the world-sheet of the string tears abruptly when the loop reaches a given size . A numerical experiment in a suitable region of the same 3D model neatly shows this dramatic phenomenon.
parallel talk Topology and confinement   5
100 Goeckeler, Meinulf meinulf.goeckeler@physik.uni-regensburg.de top
M. Göckeler, R. Horsley, D. Pleiter, P.E.L. Rakow, S. Schaefer, A. Schäfer, G. Schierholz
The spin structure of the Lambda hyperon in quenched lattice QCD
It has been suggested to use the production of Lambda hyperons as a tool for investigating the nucleon spin structure. The viability of this idea depends crucially on the spin structure of the Lambda, for which several models are around. Using nonperturbatively O(a) improved Wilson fermions in the quenched approximation we have studied matrix elements of two-quark operators in the Lambda. In this talk, we shall present results for the axial vector current, which give us the contributions of the u, d, and s quarks to the Lambda spin.
parallel talk Hadronic matrix elements   1
101 Gottlieb, Steven sg@indiana.edu top
Steven Gottlieb
Cost of dynamical quark simulations
[Panel statement]
plenary talk  
102 Gottlieb, Steven sg@indiana.edu top
Steven Gottlieb (MILC Collaboration)
Benchmarking and Tuning the MILC code on clusters and supercomputers
During the past year we have benchmarked and tuned the MILC code on a number of architectures including Itanium, Pentium IV, dual CPU Athlon, the latest Alpha nodes (ES45). Results will be presented for many of these and we shall discuss some simple code changes that can result in very dramatic speedup of the KS conjugate gradient on processors with more advanced memory systems such as PIV, IBM SP and Alpha
poster Algorithms and machines  
103 Gubarev, Fedor gubarev@itep.ru top
F.V.Gubarev, V.I.Zakharov
The Berry Phase and Monopoles in Gluodynamics
The quantum mechanical geometrical (Berry) phase is considered in the context of SU(2) gluodynamics, both in the continuum and on the lattice. In the coherent state basis eigenvalues of every Wilson loop are naturally decomposed into geometrical and dynamical phase factors. Our approach allows in turn to define a gauge invariant monopole-like defects and study their properties on the lattice.
parallel talk Topology and confinement   1
104 Gupta, Rajan rajan@lanl.gov top
T. Bhattacharya, R. Gupta, W. Lee, S. Sharpe
Scaling behavior of improvement and renormalization constants
I will summarize estimates of improvement and renormalization constants at beta=6.0, 6.2, 6.4 using O(a) improved clover action. An analysis of the scaling behavior of these constants will also be presented.
parallel talk Improvement and renormalization   2
105 Gupta, Sourendu sgupta@tifr.res.in top
Rajiv Gavai, Sourendu Gupta and Robert Lacaze
Quenched QCD at finite temperature with chiral Fermions
We study physics at temperatures just above the QCD phase transition ($T_c$) using chiral (overlap) Fermions in the quenched approximation of lattice QCD. Exact zero modes of the overlap Dirac operator are localized and their frequency of occurrence drops with temperature. This is closely related to axial $U(1)$ symmetry, which remains broken upto $2\ T_c$. After subtracting the effects of these zero modes, chiral symmetry is restored, as indicated by the behaviour of the chiral condensate ($\ppbar$), and the ``pion'' and ``rho'' screening correlators are compatible with the corresponding ideal gas results.
parallel talk Non-zero temperature and density   2
106 Guralnik, Gerald gerry@het.brown.edu top
R. Easther, P. Emirdag, G.S. Guralnik, S. Hahn and D. Petrov
New approaches to Numerical Quantum Field Theory
We outline the basis of two new methods particularly well suited to the analysis of phase structure in quantum field theory. The first method, "Source Galerkin", works on the continuum and, but for commutation properties, treats fermions and bosons in an equivalent manner. As a consequence, the traditional problems of Monte Carlo methods applied to fermionic fields, multiple poles and the fermion determinant, do not appear. Variants of algorithms developed for this method have been applied to perturbation theory and yield extremely accurate results with little computational time when compared to a Monte Carlo evaluation of the same integral. The second method, "Saddle Point Monte Carlo", can be loosely related to Source Galerkin and allows Monte Carlo techniques to be applied to actions which are not positive definite or even real.
parallel talk Theoretical developments   2
107 Gürtler, Martin m.guertler@physics.gla.ac.uk top
Martin Gürtler, Christine Davies, Joachim Hein, G. Peter Lepage, Junko Shigemitsu
Constrained curve fitting for three-point functions
We analyze two- and three-point functions from quenched NRQCD to describe semileptonic B -> D decays. We illustrate the merits of constrained curve fitting.
parallel talk Heavy quark physics   5
 
108 Hagura, Hiroyuki hagura@post.kek.jp top
H. Hagura
Quantum geometry in dynamical Regge calculus
We study the geomrtric properties of the higher-dimensional dynamical Regge calculus (DRC), which has been proposed as a hybridization of the dynamical triangulation (DT) and the Regge calculus (RC). In the strong coupling phase, entropy dominance makes the DRC similar to the DT. In the weak coupling phase, on the other hand, space-time becomes spiky configuration which often appears in the RC. We also discuss the possibility that lattice diffeomorphisms realized in the DRC might give a simple explanation for the Bekenstein-Hawking entropy from a viewpoint of simplicial gravity.
parallel talk Quantum gravity and random surfaces   2
109 Hands, Simon s.hands@swansea.ac.uk top
Simon Hands
QCD at non-zero T and mu
[plenary talk]
plenary talk  
110 Harada, Junpei harada@theo.phys.sci.hiroshima-u.ac.jp top
Junpei Harada, Shoji Hashimoto, Ken-Ichi Ishikawa, Andreas S. Kronfeld, Tetsuya Onogi, Norikazu Yamada
One-loop renormalization of heavy-light currents
We calculate the renormalization factors of heavy-light bilinears at one-loop order of perturbation theory, when the heavy quark is treated with the Fermilab formalism. We obtain the analytic result for the Feynman integrand for the (asymmetric) Fermilab action and the standard plaquette gauge action. We present numerical results for the Wilson and Sheikholeslami-Wohlert actions, with and without tree-level rotation. We find that in both cases our results smoothly interpolate from the static limit to the massless limit. This results are useful for B (D) meson decay constants and for form factors in semi-leptonic B (D) decay.
parallel talk Improvement and renormalization   3
111 Hart, Alistair a.g.hart@damtp.cam.ac.uk top
A. Hart
Topology and the scalar glueball with Nf=2 improved Wilson fermions.
We measure the topological susceptibility and local topological properties on dynamical configurations over a range of sea quark masses at lattice spacings around 0.1 fm. We use a variety of gluonic methods and compare with the quenched theory on similar lattices. We also measure the `glueball' masses, and find the scalar mass to be suppressed relative to the quenched value on similar lattices.
parallel talk Topology and confinement   6
112 Hasenbusch, Martin martin.hasenbusch@desy.de top
Martin Hasenbusch
Speeding up the HMC
We propose a modification of the Hybrid-Monte-Carlo method that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is that the pseudo-fermion action is split into two parts. We test our proposal at the example of the two-dimensional lattice Schwinger model with two degenerate flavours of Wilson-fermions.
parallel talk Algorithms and machines   3
113 Hasenfratz, Anna anna@eotvos.colorado.edu top
Anna Hasenfratz and Francesco Knechtli
The Phase Diagram of QCD with Two and Four Flavors: Results with HYP Fermions
The finite temperature phase transition of QCD is a chiral transition. It is directly connected to the topological structure of the vacuum and can strongly depend on the number of light quark flavors. In order to study thermodynamics on the lattice one needs a fermionic action with good chiral properties. We present simulation results obtained with the recently developed hypercubic blocked staggered action both with two and four flavors. With four flavors we find no sign of a first order phase transition and the mass dependence of the chiral condensate suggests that the zero mass phase transition occurs at very low temperature, if it exists at all.
parallel talk Non-zero temperature and density   2
114 Hasenfratz, Peter hasenfra@itp.unibe.ch top
Peter Hasenfratz
Conference summary
[plenary talk]
plenary talk  
115 Hashimoto, Shoji shoji.hashimoto@kek.jp top
JLQCD collaboration: S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K.-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, T. Yoshie
Exploration of sea quark effects in two-flavor QCD with the O(a)-improved Wilson quark action
We carried out dynamical QCD simulations with nonperturbatively O(a)-improved Wilson fermions at beta=5.2. Finite-size effects are studied by using three different volumes 12^3x48, 16^3x48, and 20^3x48. Comparing the results with quenched data, we investigate sea quark effects in light hadron masses.
parallel talk QCD spectrum and quark masses   2
116 Hauswirth, Simon hauswirt@itp.unibe.ch top
P. Hasenfratz, S. Hauswirth, K. Holland, T. Jorg, F. Niedermayer
First results from a parametrized Fixed-Point QCD action
We have constructed a new fermion action which is an approximation to the (chirally symmetric) Fixed-Point action, containing the full Clifford algebra with couplings inside a hypercube and paths built from renormalization group inspired fat links. We present exploratory studies of the light hadron spectrum, the energy-momentum dispersion relation and the deviation from the Ginsparg-Wilson relation.
parallel talk Improvement and renormalization   2
117 Haymaker, Richard haymaker@rouge.phys.lsu.edu top
Andrei Alexandru and Richard W. Haymaker
Connections between Tomboulis vortices and projection vortices
We will present further connections between gauge invariant Tomboulis vortex counters and projection vortex counters. We will also present a simplified algorithm for identifying Tomboulis vortics. Finally some limited numerical comparisons between these approaches will be given.
parallel talk Topology and confinement   7
118 Hein, Joachim jhein@ph.ed.ac.uk top
Joachim Hein, G. Peter Lepage, Quentin Mason
Mass renormalisation for improved staggered quarks
The mass renormalisation to O(alpha) of improved staggered quarks is shown to be well behaved. This is in contrast to naive staggered quarks, which suffer from large renormalisations as a consequence of unphysical flavour-changing strong interactions. Improved staggered quarks successfully suppress such interactions.
parallel talk QCD spectrum and quark masses   3
119 Heitger, Jochen heitger@uni-muenster.de top
Jochen Heitger, Hubert Simma, Rainer Sommer, Ulli Wolff
The Schrödinger functional coupling in quenched QCD at low energies
The existing non-perturbative computation of the running coupling of quenched QCD in the Schrödinger functional scheme is extended to values of the scale mu=1/L (with L being the linear size of the finite system) that lie much deeper in the low energy regime than those considered before. By use of a modified sampling procedure to overcome long-time autocorrelations encountered in the numerical simulations at large couplings we are able to reach 1/mu ~ 0.9 fm, where a significant deviation from the perturbative evolution of the coupling is now demonstrated convincingly. Then also a comparison of its L-dependence in this region with a prediction from the strong coupling expansion can be attempted.
poster Improvement and renormalization  
120 Heller, Urs M. heller@csit.fsu.edu top
The MILC collaboration (C. Bernard, T. Burch, S. Datta, T. DeGrand, C. DeTar, Steven Gottlieb, U.M. Heller, K. Orginos, R. Sugar, and D. Toussaint)
Thermodynamics with 3 and 2+1 Flavors of Improved Staggered Quarks
We present preliminary results from exploring the phase diagram of finite temperature QCD with three degenerate flavors and with two light flavors and the mass of the third held approximately at the strange quark mass. We use an order $\alpha_s^2 a^2, a^4$ Symanzik improved gauge action and an order $\alpha_s a^2, a^4$ improved staggered action. The improved staggered action leads to a dispersion relation with diminished lattice artifacts, and hence better thermodynamic properties. It decreases the flavor symmetry breaking of staggered quarks substantially, and we estimate that at the transition temperature for an $N_t=8$ to $N_t=10$ lattice {\em all} pions will be lighter than the lightest kaon. Preliminary results on lattices with $N_t=4$, 6 and 8 are presented.
parallel talk Non-zero temperature and density   2
121 Hellmund, Meik Meik.Hellmund@itp.uni-leipzig.de top
Meik Hellmund, Wolfhard Janke
High temperature series expansions for $d$-dimensional disordered Potts models
Despite considerable efforts there are still many open problems in the physics of disordered systems. One alternative to large-scale numerical simulations are systematic series expansions. Such expansions for statistical models defined on a lattice are a well-known method to study phase transitions and critical phenomena. The extension of this method to disordered systems demands the development of new graph theoretical and algebraic algorithms. We developed further the method of ``star graph expansion'' which allows to take the disorder average on the level of individual graphs. For the first time, we classified all star graphs up to order 19 and calculated their embedding numbers for $d$-dimensional hypercubic lattices. These data are used to calculate e.g. free energies and susceptibilities for disordered $q$-state Potts models on $d$-dimensional hypercubic lattices. The probability distribution of couplings is parameterized by e.g. $P(J_{ij}) = p ?d(J_{ij}-J_0) + (1-p) ?d(J_{ij}-R J_0)$ which includes spin glasses, diluted ferromagnets, random-bond models and transitions between them. The series allow the determination of the phase diagram, critical couplings and critical exponents in a large region of the ($q$,$d$,$p$,$R$) parameter space.
poster Spin models  
122 Hepburn, Derek derek@ph.ed.ac.uk top
Derek Hepburn
Light hadron spectrum using an O(a)-Improved action with Nf=2
We present recent light hadron spectrum results from the UKQCD collaboration. The analysis was performed on datasets generated using a non-perturbatively O(a)-Improved Wilson action with Nf=2 dynamical fermions.
poster QCD spectrum and quark masses  
123 Herdoiza, Gregorio gregorio.herdoiza@th.u-psud.fr top
A. Abada, Ph. Boucaud, G. Herdoiza, J.P. Leroy, J. Micheli, O. Pene, J. Rodriguez-Quintero
A partonic signal on the lattice?
We present the first attempt of a new method to compute the pion light-cone wave functions (LCWF) on the lattice. We compute the matrix element between the pion and the vacuum of a non-local operator: the propagator of a scalar quark (squark). A theoretical analysis shows the kinematical conditions for which the matrix element depends dominantly on the LCWF. We show some indications that for a short time the system of the spectator quark and the squark behave like partons, before they form a hadron-like bound state. This time is the place where the partonic wave function has to be looked for.
parallel talk Hadronic matrix elements   4
124 hernandez, pilar pilar.hernandez@cern.ch top
pilar hernandez
Ginsparg-Wilson fermions: practical aspects and applications
[plenary talk]
plenary talk  
125 Hip, Ivan hip@theorie.physik.uni-wuppertal.de top
I. Hip, Th. Lippert, H. Neff, K. Schilling, W. Schroers
The Consequences of Non-normality
Wilson-Dirac type operators (or any approximate Ginsparg-Wilson operators) are non-normal, i.e. they do not commute with their hermitian conjugates. This fact has some peculiar consequences. Non-normal operators were also considered in solid state physics. Numerical mathematicians recently introduced new concepts for their analysis. Are there lessons to be learnt for the lattice community?
parallel talk Theoretical developments   1
126 Hoelbling, Christian hch@bu.edu top
L. Giusti, C. Hoelbling, C. Rebbi
Quenched QCD with overlap fermions: numerical implementation and non-perturbative renormalization.
We illustrate a numerical implementation of overlap fermions in quenched QCD and present preliminary results on the non-perturbative renormalization of fermionic bilinears. We study systems of size 10^3x20 and 16^3x32 at beta=6.0. Our results are in very good agreement with the scaling behavior predicted by perturbation theory to NNLO.
parallel talk Chiral fermions and gauge theories   3
127 Hoffmann, Roland Roland.Hoffmann@Colorado.edu top
A. Hasenfratz, R. Hoffmann, F. Knechtli
The Static Potential with Hypercubic Blocking
We measure the static potential from Wilson loops constructed using hypercubic blocked (HYP) links. The HYP smearing mixes gauge links within hypercubes attached to the original link only. The HYP potential agrees with the potential measured using thin links for distances r/a>=2. We calculated the lowest order perturbative expansion of the lattice Coulomb potential of HYP links. These results are used in analyzing the static potential both on quenched and dynamical lattices. The statistical accuracy of the potential with HYP links improves by about an order of magnitude, which makes it possible to determine a reliable scale even with limited statistics.
poster Heavy quark physics  
128 Hofheinz, Frank hofheinz@physik.hu-berlin.de top
Frank Hofheinz Axel Thimm
Perfect Actions: Insights in the Lattice Fermion Problem
A revamping of the standard renormalization group approaches leads to an explicit expression of lattice formulations for arbitrary bilinear fermion actions, which can be further exploited to define new improvement methods or even chiral gauge theories The corresponding lattice fermion operators, satisfy a general Ginsparg Wilson relation. Here we present the formalism and a simple example in d=2.
parallel talk Chiral fermions and gauge theories   2
129 Holland, Kieran holland@itp.unibe.ch top
P. Hasenfratz, S. Hauswirth, K. Holland, T. Joerg, F. Niedermayer
Overlap construction with the parametrized Fixed-Point Dirac operator
We examine the construction of an Overlap operator generated from D_FP. We look at the convergence of polynomial approximations of the inverse square root and the locality of the resulting operator. We investigate chiral properties of the spectrum and the eigenfunctions.
poster Chiral fermions and gauge theories  
130 Holtmann, Sven holtmann@physik.uni-bielefeld.de top
J. Engels, S. Holtmann, T. Schulze
Specific heat and energy of the 3d O(2) spin model
We investigate the three-dimensional $O(2)$ model on lattices of size $8^3$ to $120^3$ close to the critical point at zero magnetic field. We confirm explicitly the value of the critical coupling found by Ballesteros et al.. At criticality we study the finite-size dependencies of the energy $E$ and the specific heat $C$. We find that the size $C_{ns}$ of the nonsingular part of the specific heat is heavily dependent on the critical exponent $\alpha$ (or $\nu$). From the critical behaviour of the specific heat results on the largest lattices we determine the universal amplitude ratio $A^+/A^-$. The ratio varies linearly with the exponent $\alpha$ at small values of $\alpha$, well in accord with the relation $A^+/A^- \simeq 1-4\alpha$. Our best value for $\nu$ is $0.671(2)$ which amounts to $\alpha=-0.013(6)$.
parallel talk Spin models   1
131 Horata, Shinichi horata@post.kek.jp top
H.S.Egawa, S.Horata and T.Yukawa
Clear Evidence of a Continuum Theory of 4D Euclidean Simplicial Quantum Gravity
4D simplicial quantum gravity coupled to both scalar and gauge fields has been studied using Monte-Carlo simulations. By adding the matter fields, we find the fact that the distinct three type phase structure exists with the contribution of the matter fields. We estimate a ratio of the number of scalar fields to that of gauge fields. As a result, the numerical results suggest that 4D simplicial manifold is related to the conformal symmetry in four dimensions. Furthermore, we observe the structure of the geometry with $S^4$ topology. Therefore, we propose a phase structure in detail with adding both scalar and gauge fields and discuss the possibility and the property of a continuum theory of 4D Euclidean simplicial quantum gravity.
parallel talk Quantum gravity and random surfaces   1
132 Horsley, Roger roger@physik.hu-berlin.de top
R. Horsley
A lattice determination of nucleon structure functions
Using non-perturbatively O(a) improved Wilson fermions, results are given for the three lowest moments of the unpolarised nucleon structure functions. Renormalisation, chiral extrapolation and the continuum limit of the matrix elements are discussed. The simulations are performed for both the quenched theory and two flavours of unquenched fermions. A comparison between these results gives an impression of possible quenching effects.
parallel talk Hadronic matrix elements   1
133 Horvath, Ivan horvath@pa.uky.edu top
Shao-Jing Dong, Terry Draper, Ivan Horvath, Frank Lee, Keh-Fei Liu, John McCune, Hank Thacker, Jianbo Zhang
Lattice Fermions and the Vacuum of Pure Gauge QCD
We investigate the vacuum properties of pure gauge QCD using fermionic methods. We concentrate on the utility of overlap fermions for this purpose, but also discuss the advantages and disadvantages of ultralocal formulations, mainly Wilson fermions.
parallel talk Topology and confinement   4
 
134 Ichie, Hiroko ichie@physik.hu-berlin.de top
H.Ichie, V.Bornyakov, T.Streuer and G.Schierholz
Comparison of the abelian flux tube in quenched and full QCD
We have investigated the abelian flux-tube after fixing the maximally abelian gauge in full QCD. We found abelian flux-tube in the full QCD is very much the same as in quenched QCD up to the distance 2fm.
poster Topology and confinement  
135 Ide, Kiyotomo ide@het.ph.tsukuba.ac.jp top
CP-PACS Collaboration : S.~Aoki, R.~Burkhalter, M.~Fukugita, S.~Hashimoto, K.~Ide, N.~Ishizuka, Y.~Iwasaki, K.~Kanaya, T.~Kaneko, Y.~Kuramashi, V.~Lesk, M.~Okawa, Y.~Taniguchi, A.~Ukawa, T.~Yoshi\'e
Non-perturbative renormalization for a renormarization group improved gauge action
Renormalization constants of both vector and axial-vector currents are determined non-perturbatively in the quenched approximation for a combiation of a renormalization group improved gauge action and a tadpole-improved clover quark action using the Schr\"odinger functional method. Parameters of our calculation are chosen to be the same as those employed by a recent CP-PACS spectrum simulation. We find that non-perturbative values of renormalization constants differ from perturbative ones by about 6\% for vector current and 3\% for axial-vector current at the largest coupling of the CP-PACS simulation, $\beta$=2.575. We argue how scaling violation of meson decay constants observed is improved when our non-perturbative estimates of renormalization constants are used instead of perturbative ones.
parallel talk Improvement and renormalization   1
136 Ilgenfritz, Ernst-Michael ilgen@rcnp.osaka-u.ac.jp top
K. Langfeld, E.-M. Ilgenfritz, H. Reinhardt, A. Sch\"afke Institut f\"ur Theoretische Physik, Universit\"at T\"ubingen
Singular Gauge Potentials and the Gluon Condensate at Zero Temperature
For $SU(2)$ gluodynamics, we consider a cooling procedure which separates $SO(3)$ gluon fields from singular center vortices. Contrary to the bulk of $P$-vortices, this ``vortex texture'' does not contribute to the string tension but it reproduces the lowest glueball states. Having a density scaling like $a^4$ with $\beta$, it gives a finite contribution to the action and energy density at $T=0$ in the continuum limit. We propose an interpretation of the action density as a mass dimension 4 condensate related to the gluon condensate. The different behavior of the condensate in the the positive plaquette model is discussed. We speculate about the continuum limit of these singular defects.
poster Topology and confinement  
137 Ishibashi, Masato ishibash@hep-th.phys.s.u-tokyo.ac.jp top
Kazuo Fujikawa and Masato Ishibashi
Properties of a New Class of Lattice Dirac Operators
A new class of lattice Dirac operators $D$ have been recently proposed on the basis of the generalized Ginsparg-Wilson relation, $\gamma_{5}(\gamma_{5}D) + (\gamma_{5}D)\gamma_{5} = 2a^{2k+1}(\gamma_{5}D)^{2k+2}$, where $k$ is a non-negative integer. We discuss the index theorem and locality properties for this general class of lattice Dirac operators.
parallel talk Chiral fermions and gauge theories   1
138 Ishii, Noriyoshi ishii@th.phys.titech.ac.jp top
Noriyoshi Ishii, Hideo Suganuma, Hideo Matsufuru
Glueball properties at finite temperature
We study the glueballs properties at finite temperature using SU(3) lattice QCD at the quenched level with the anisotropic lattice. We present our results which shows the slight reduction of the scalar glueball mass near T_c.
parallel talk Non-zero temperature and density   6
139 Ishikawa, Ken-Ichi kishika@suchi.kek.jp top
JLQCD collaboration: S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, T.~Yoshi\'{e}
An exact algorithm for three-flavor QCD with $O(a)$-improved Wilson fermions
We developed an exact simulation algorithm for the $O(a)$-improved Wilson fermion with odd number of flavors. The algorithm uses the non-Hermitian polynomials to approximate the inverse of the Dirac operator. The systematic errors caused by the polynomial approximation of the inverse is removed by the noisy-Metropolis test previously introduced in the multi boson algorithm.
parallel talk Algorithms and machines   3
140 Ishizuka, Naruhito ishizuka@het.ph.tsukuba.ac.jp top
CP-PACS collaboration: S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, N. Ishizuka(*), Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, V. Lesk, M. Okawa, Y. Taniguchi, A. Ukawa, T. Yoshie
I=2 Pion Scattering Length and Phase Shift with Wilson Fermions
We present preliminary results of scattering length and phase shift for I=2 Pion systyem calculated with the Wilson fermions in the quenched approximation. The finite size method presented by L\''uscher is employed, and the magnitude of finte size corrections are examined. The possibility of a calculation of K -> PiPi decay amplitudes with non-zero momentum pions on the lattice is also discussed.
parallel talk QCD spectrum and quark masses   2
141 Izubuchi, Taku izubuchi@bnl.gov top
Taku Izubuchi and Chris Dawson for Riken-BNL-Columbia Collaboration
Improving Full QCD Calculation using Domain-Wall Fermion
One of the most interesting topics in lattice QCD is unquenched investigations using lattice fermions with good chiral properties. A natural candidate is the domain-wall fermions method, which has numerous attractive features confirmed in quenched calculations. However some pioneering efforts for dynamical QCD using domain-wall fermions have revealed that the breaking of chiral symmetry is largae, likely caused by 5D translationally invariant modes. We try to reduce this chiral symmetry violation by adding the dynamical effect of 4D Wilson fermions with $O(1/a)$ negative mass, which we expect to eliminate the 5D translational invariant modes but to leave the low energy spectrum uneffected. We also discuss other ideas for better chiral symmetry.
parallel talk Chiral fermions and gauge theories   3
 
142 Janke, Wolfhard janke@itp.uni-leipzig.de top
Wolfhard Janke (1) and Ralph Kenna (2) (1) Universit"at Leipzig, Germany (2) Trinity College Dublin, Ireland
Phase transition strengths from the density of partition function zeroes
We present a numerical technique employing the density of partition function zeroes which allows to distinguish between phase transitions of first and higher order. We examine the crossover between such phase transitions and demonstrate how to measure the strength of first- and second-order phase transitions in the form of latent heat and critical exponents. These techniques are illustrated in applications to a number of models for which zeroes are available. W. Janke and R. Kenna, J. Stat. Phys. 102 (2001) 1211.
parallel talk Spin models   2
143 Jansen, Karl Karl.Jansen@desy.de top
Karl Jansen
Cost of dynamical quark simulations
[Panel statement]
plenary talk  
144 Jansen, Karl Karl.Jansen@desy.de top
Pilar Hernandez, Karl Jansen, Laurent Lellouch, Hartmut Wittig
Scalar Condensate and light-quark masses from overlap fermions
We explore various ways of determining the non-perturbatively renormalized scalar condensate and light quark masses. The source of this information are pion propagators computed with overlap fermions in the quenched approximation. We compare our results with those obtained from simulations using Wilson fermions.
poster Chiral fermions and gauge theories  
145 Joerg, Thomas jorg@itp.unibe.ch top
Peter Hasenfratz, Simon Hauswirth, Kieran Holland, Thomas Joerg, Ferenc Niedermayer
Quark condensate and conserved chiral currents with a chirally symmetric action
We measure the quark condensate in quenched QCD using the parametrized fixed-point Dirac operator as input for the overlap construction. We also present a general and practical construction of conserved axial and axial-vector currents.
parallel talk Chiral fermions and gauge theories   3
146 Johnston, Des des@ma.hw.ac.uk top
W Janke D Johnston M Stathakopoulos
Fat Fisher Zeroes
We discuss the analytical caclulation of partition function zeroes for the Ising model on "fat" (planar) random graphs and compare the results with regular 2D lattices.
parallel talk Quantum gravity and random surfaces   2
147 Joo, Balint bj@phys.columbia.edu top
B. Joo (UKQCD Collaboration)
Instabilities in Molecular Dynamics integrators used in HMC
We discuss an instability in the leap frog integration algorithm, widely used in current Hybrid Monte Carlo (HMC) lattice QCD simulations. This instability is well understood in the case of HMC for the simple oscillator (SHO). We show that for the SHO, the instability problem persists and becomes worse for higher order integration schemes. We demonstrate that the instability is also present in HMC simulations of lattice QCD, and and discuss the implications for future dynamical fermion simulations with light quarks.
parallel talk Algorithms and machines   3
148 Juge, Jimmy juge@fnal.gov top
Charm Quark Mass Renormalization at Two Loop Order
The truncation of the perturbative series at one loop order for the mass renormalization constants remain a significant systematic uncertainty in the determination of heavy quark masses in lattice QCD. We present here a high beta Monte Carlo calculation of the two loop mass renormalization constant for clover-improved fermions near the charm mass in the Fermilab heavy quark formalism.
poster Improvement and renormalization  
 
149 Kaczmarek, Olaf okacz@physik.uni-bielefeld.de top
O. Kaczmarek, F. Karsch, P. Petreczky and F. Zantow
Short distance physics with heavy quark potentials
We present lattice studies of heavy quark potentials in the quenched approximation of QCD at finite temperatures. Both, the color singlet and color average potentials are calculated. While the potentials are well known at large distances, we give a detailed analysis of their short distance behaviour (from 0.015 fm to 1 fm) near the critical temperature. At these distances we expect that the T-dependent potentials go over into the zero temperature potential. Indeed, we find evidence that the temperature influence gets suppressed for short distances and the running coupling starts to become a unique function of the underlying distance scale. We use this to normalize the heavy quark potentials at short distances and extract the free energy of the quark system in a gluonic heat bath. Our results for the singlet and averaged potentials are in agreement with simple color averaging considerations. We suggest that this approach can be used to construct an order parameter for the confinement phase transition, which survives the continuum limit.
poster Non-zero temperature and density  
150 Kajantie, Keijo keijo.kajantie@helsinki.fi top
K. Kajantie et al.
Critical Behaviour in the Ginzburg-Landau Theory in Type-II Region
poster Higgs Yukawa SUSY theories  
151 Kaneko, Takashi takashi.kaneko@kek.jp top
Takashi Kaneko
Light hadron spectrum and quark masses
[plenary talk]
plenary talk  
152 Kenna, Ralph rak@maths.tcd.ie top
W. Janke and R. Kenna
Exact Finite-Size Scaling with Corrections in the Two Dimensional Ising Model with Special Boundary Conditions
The Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to {\em{exactly}} determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Exact results are also determined for the scaling of the specific heat at criticality, for the specific heat peak and for the pseudocritical points. All corrections to scaling are found to be analytic and the shift exponent $\lambda$ does not coincide with the inverse of the correlation length exponent $1/\nu$.
poster Spin models  
153 Kikukawa, Yoshio kikukawa@eken.phys.nagoya-u.ac.jp top
Yoshio Kikukawa
Analytic progress on exact lattice chiral symmetry
[plenary talk]
plenary talk  
154 Kim, Seyong skim@kunja.sejong.ac.kr top
Seyong Kim and Shigemi Ohta
Zero temperature phase structure of multi-flavor QCD
In order to investigate phase structures of many flavored QCD, simulations are being performed with the number of staggered quark flavors, $N_f$ = 6, 8, 10 and possibly higher on a series of lattice volumes for various quark masses. Here, we report our preliminary result of.
parallel talk Topics in gauge theories   1
155 Knechtli, Francesco knechtli@pizero.colorado.edu top
Simulating Dynamical Fermions with Smeared Links
Smearing the gauge links improves the chiral properties of lattice fermions. Recently we proposed the hypercubic smearing (HYP) that improves the flavor symmetry of staggered fermions by an order of magnitude with only minimal distortions at small distances. We describe a new algorithm to simulate dynamical HYP fermions based on the standard pure gauge overrelaxation and heatbath updates. The algorithm has been used to simulate two and four flavors of staggered fermions. Unlike standard dynamical simulation techniques, this algorithm does not loose efficiency at small quark masses.
parallel talk Algorithms and machines   2
156 Koma, Yoshiaki koma@hep.s.kanazawa-u.ac.jp top
Yoshiaki Koma, DESY-ITEP-KANAZAWA collaboration
Monopole dynamics in full QCD
The properties of monopole extracted by maximally Abelian projection within the full QCD are presented. The lattice size is 24^3X48 for beta=5.29, kappa=0.1355, and 16^3X32 for beta=5.29, kappa=0.1350. Contents are the following: (1) various static potentials (non-Abelian, Abelian, monopole), (2) characteristic properties of monopoles, (3) effective monopole action. Comparison of these results with that of quenched approximation corresponding to beta=6.0 is also discussed.
parallel talk Topology and confinement   8
157 Korthals Altes, Chris altes@cpt.univ-mrs.fr top
P. Giovannangeli C. P. Korthals Altes
Wilson loops and 't Hooft loops in Hot QCD
Spatial 't Hooft (Wilson) loops measure the electric (magnetic) flux in the plasma. Both have an area law. We explain how the semiclassically computed behaviour of the 't Hooft loop is well explained by the familiar picture of the plasma as consisting of free electrically charged quasi particles, the gluons. The Wilson loop can be computed by assuming a component of magnetically charged quasi-particles. The ratios of multiply charged Wilsonloops obtained on the lattice are consistent with this model
parallel talk Topology and confinement   6
158 Kovacs, Tamas kovacs@ifh.de top
T. Kovacs
Fermion actions and the unquenched topological susceptibility
We compare the performance of different Wilson-type fermion actions concerning both the detection and the suppression of topological charge fluctuations. Real modes in the physical part of the spectrum of the Dirac operator are used to measure the charge. The fermionic determinant is approximated by a truncation to low eigenmodes in each topological sector. We also comment on how the chiral properties of the fermion action might affect unquenched measurements of the topological susceptibility.
parallel talk Topology and confinement   6
159 Kratochvila, Slavo kslavo@student.ethz.ch top
Slavo Kratochvila
Testing dimensional reduction in SU(2) Gauge Theory
The effective couplings of dimensionally reduced SU(2) gauge theory are determined numerically, and compared with their theoretically determined values, as a function of temperature.
parallel talk Non-zero temperature and density   4
160 Kuramashi, Yoshinobu yoshinobu.kuramashi@kek.jp top
S.Aoki, Y.Kuramashi and S.Tominaga
Relativistic Heavy Quarks on the Lattice
Lattice QCD should allow quantitative predictions for the heavy quark physics from first principles. Up to now, however, most approaches have based on the nonrelativistic effective theory, with which the continuum limit can not be taken in principle. In this paper we investigate feasibility of relativistic approaches to the heavy quark physics in lattice QCD. We first examine validity of the idea that the use of the anisotropic lattice could be advantageous to control the $m_Q a$ corrections. Our perturbative calculation, however, reveals that this is not true. We instead propose a new relativistic approach to handle heavy quarks on the isotropic lattice. We explain how power corrections of $m_Q a$ can be avoided and remaining uncertainties are reduced to be of order $(a\Lambda_{\rm QCD})^2$.
parallel talk Heavy quark physics   1
161 Kurth, Martin mkurth@hep.phys.soton.ac.uk top
Martin Kurth and Rainer Sommer
An explicit example of Heavy Quark Effective Theory at one-loop order of perturbation theory
We consruct correlation functions of the axial current of a light and a heavy quark, both in the static approximation and in full QCD, using the lattice regularization. We discuss the difference between both theories in the continuum limit as well as the mass-dependence of discretization errors.
parallel talk Heavy quark physics   1
162 Kurth, Stefan skurth@physik.hu-berlin.de top
Stefan Kurth, Ulli Wolff
The Renormalized Quark Mass in the Schr"odinger Functional at 1-loop Order
The renormalized quark mass in the Schr"odinger functional is studied at 1-loop order of perturbation theory with non-vanishing background field. The critical mass, at which the renormalized mass vanishes, is determined at 1-loop order and is used to compute the discretization errors of the Schr"odinger functional coupling at 2-loop order of perturbation theory. The renormalization constant of the pseudo scalar density is calculated at 1-loop order.
poster Improvement and renormalization  
163 Kuti, Julius jkuti@ucsd.edu top
Julius Kuti
The QCD String Spectrum and Two-Dimensional Conformal Field Theory
The low energy excitation spectrum of the critical Wilson surface is discussed between the roughening transition and the continuum limit. The problem is analyzed within the framework of two-dimensional conformal field theory. Difficulties with a simple string theory interpretation of the confining flux are presented.
parallel talk Topology and confinement   5
 
164 Lacagnina, Giuseppe gnl@ph.ed.ac.uk top
G. Lacagnina (UKQCD collaboration)
Semi-leptonic decays of heavy mesons in quenched lattice QCD
We present the results of a lattice calculation of matrix elements relevant to semi-leptonic decays of heavy mesons. The form factors relevant to the semi leptonic B->D* decay are calculated and used to extract the Isgur-Wise function and the Vcb element of the CKM matrix.
parallel talk Heavy quark physics   3
165 Lang, Christian B. christian.lang@uni-graz.at top
C. Gattringer, M. Goeckeler, C. B. Lang, P. Rakow, A. Schaefer
Spectral flow for chirally improved Dirac operators
We discuss a systematic study of several lattice Dirac operators with improved chiral behaviour. For 4d SU(3) gauge configurations on lattices of size up to 16^4 and 6x20^3 we determine spectral properties, in particular the low lying eigenmodes, and their behaviour with regard to projection to an overlap operator. As starting operator we use the original Wilson operator as well as a recently systematically constructed chirally improved operator. We study the flow of eigenvalues and compare the numerical stability and efficiency of the improved operator with that of others. We find intriguing relationships between geometrically localized objects (instantons) and the eigenvalue spectrum.
parallel talk Topology and confinement   3
166 Langfeld, Kurt kurt.langfeld@uni-tuebingen.de top
K. Langfeld, E.-M. Ilgenfritz, H. Reinhardt
Gauge potential singularities and the high temperature phase of SU(2) YM theory
The continuum limit of SU(2) lattice gauge theory is carefully investigated at zero and at finite temperatures. It is shown that the continuum gauge field acquires singularities originating from the underlying gauged Z_2 Ising model recovered in Landau gauge. Our numerical results show that the density of these singularities properly extrapolates to the continuum limit and is non-vanishing. The action density of this Z_2 Ising links is identified with the gluon condensate. We find for temperatures larger than the deconfinement temperature that the energy density carried by the Z_2 fields obey a Stefan-Boltzmann law. Hence, significant corrections to the Stefan Boltzmann constant corresponding to three gluonic degrees of freedom is expected in the case of SU(2) lattice gauge theory properly extrapolated to the continuum limit.
parallel talk Non-zero temperature and density   1
167 Lee, Dean dlee@physics.umass.edu top
Dean Lee Nathan Salwen
Dynamical Fermions in Hamiltonian Lattice Gauge Theory
We investigate quenched, partially quenched, and unquenched lattice gauge theories within a Hamiltonian framework. Our approach is based on a diagonalization/Monte Carlo strategy, where the most "important" fermionic interactions are treated exactly.
parallel talk Algorithms and machines   1
168 Lee, Frank fxlee@gwu.edu top
F.X. Lee, Leming Zhou (George Washington U. and Lattice Hadron Physics Collaboration), D.B. Leinweber, J. Zanotti (Adelaide University), S. Choe (Hiroshima University)
N* Masses from an Anistropic Lattice QCD Action
We report N* masses in the spin 1/2 and 3/2 sectors from a highly-improved anisotropic action. States with both positive and negative parity are isolated via parity projection methods. The extent to which spin projection is required to isolate the spin 3/2 sector is examined. In most cases, good signals are observed with smeared fermion sources and 500 configurations. The gross features of the splittings from the nucleon ground state show a trend consistent with experimental results at the quark masses explored. The challenge of resolving the details of the splittings across different particle channels is addressed.
parallel talk QCD spectrum and quark masses   4
169 Lee, Weonjong wlee@gita.lanl.gov top
T. Bhattacharya, G. Fleming, R. Gupta, G. Kilcup, W. Lee, S. Sharpe
Weak matrix elements for CP violation
We present preliminary results of the weak matrix elements and bag parameters for four-fermion operators relevant to CP violation. This calculation is being done using staggered fermions.
poster Hadronic matrix elements  
170 Lepage, Peter gpl@mail.lns.cornell.edu top
Peter Lepage
Constrained curve fitting for lattice QCD
[plenary talk]
plenary talk  
171 Levkova, Ludmila ludmila@phys.columbia.edu top
Ludmila Levkova
Anisotropic Lattices and Dynamical Fermions
We report results from full QCD calculations with two flavors of dynamical staggered fermions on anisotropic lattices. The physical anisotropy as determined from spatial and temporal masses, their corresponding dispersion relations, and spatial and temporal Wilson loops is studied as a function of the bare gauge anisotropy and the bare velocity of light appearing in the Dirac operator. The anisotropy dependence of staggered fermion flavor symmetry breaking is also examined. These results will then be applied to the study of 2-flavor QCD thermodynamics.
parallel talk QCD spectrum and quark masses   1
172 Lewis, Randy randy.lewis@uregina.ca top
Randy Lewis, Nilmani Mathur and R. M. Woloshyn
Spin splittings among charmed hadrons
The masses of singly and doubly charmed baryons having spin-1/2 and spin-3/2 are obtained in the quenched approximation from a tadpole-improved anisotropic gauge field action and a D234 quark action. These baryon spin splittings are compared to charmed meson spin splittings obtained from the same lattice action. The results of this comparison are discussed in the context of quark model predictions, heavy quark symmetry predictions and experimental data.
parallel talk Heavy quark physics   2
173 Lin, C.-J. David dlin@hep.phys.soton.ac.uk top
SPQR Collaboration
$K\rightarrow\pi\pi$ matrix elements beyond the leading-order chiral expansion
We present a lattice study of non-leptonic kaon decay matrix elements with Wilson-type fermions. We focus on those matrix elements relevant for the $\Delta I = 1/2$ rule and $\epsilon^{\prime}/\epsilon$. In particular, we present results of $\Delta I = 3/2$ matrix elements for both CP conserving and CP violating processes. These matrix elements are obtained with two pions in the final state in the numerical simulation. The next-to-leading order contributions in the chiral expansion of these operators are studied and included. Many features of the strategy in calculating these $\Delta I = 3/2$ matrix elements can be applied to our on-going study of $\Delta I = 1/2$, $K\rightarrow\pi\pi$ decays.
parallel talk Hadronic matrix elements   3
174 Lippert, Thomas lippert@theorie.physik.uni-wuppertal.de top
Thomas Lippert
Cost of dynamical quark simulations
[Panel statement]
plenary talk  
175 Lippert, Thomas lippert@theorie.physik.uni-wuppertal.de top
Thomas Lippert
A comparative study of numerical methods for the overlap operator and its inverse
Quite a variety of numerical methods is available to deal with the QCD overlap operator and to solve the associated linear system. The favorite algorithms are polynomial approximations, Lanczos procedures, partial fraction and continued fraction methods. This conribution gives a status report of an interdisciplinary study, carried out together with numerical analysts, that aims at a comparison of standard overlap solvers and novel variants in a realistic quenched QCD setting.
poster Algorithms and machines  
176 Liu, Guofeng gfliu@phys.columbia.edu top
Guofeng Liu
Low-lying Dirac Eigenmodes from Domain Wall Fermions
The Kalkreuter-Simma method is used to determine the low-lying eigenvectors and eigenvalues of the five-dimensional domain wall fermion Dirac operator. We describe this procedure and the resulting eigenvalues and eigenvectors for pure gauge configurations generated with both the Wilson and Iwasaki actions. These results are used to predict the spectral density, $\rho(\lambda)$, for the corresponding four-dimensional Dirac operator and to discuss the character of the near-zero modes arising from gauge field winding number.
parallel talk Topology and confinement   3
177 Liu, Keh-Fei liu@pa.uky.edu top
Balint Joo, University of Edinburgh Ivan Horvath, University of Kentucky Keh-Fei Liu, University of Kentucky
Noisy Monte Carlo Algorithm for Dynamical Fermions
We report on the recent progress made with the Noisy Monte Carlo (NMC) algorithm for dynamical fermions. We use a quenched heatbath algorithm for gauge updating with a shifted gauge coupling to minimize fluctuations in Tr Ln M. We present data which gives us confidence that the algorithm behaves correctly by comparing 2-flavour Wilson-fermion NMC results with those obtained from Hybrid Monte Carlo, and also demonstrate that we have good control over the amount of noise. We also discuss its potential application to non-degenerate flavors and a finite density algorithm in the canonical ensemble.
parallel talk Algorithms and machines   3
178 Liu, Yubin liu@hiroh2.hepl.hiroshima-u.ac.jp top
QCD-TARO Collaboration S.Choe, Ph.de Forcrand, M.Garcia Perez, S.Hioki, Y.Liu, H.Matsufuru, O.Miyamura, A.Nakamura, I.-O.Stamatescu, T.Takaishi, T.Umeda
Screening mass responses with respect to chemical potential at finite temperature
A formulation to obtain the response of hadron masses to the chemical potential is developed on the lattice. As the first trial, screening masses of pseudoscalar and vector mesons and their responses are evaluated. We present results on a $16\times 8^2\times 4$ lattice with $n_f=2$ staggered fermions below and above $T_c$. The responses to both the isoscalar and isovector chemical potentials are sizable and they show different behaviors in low and high temperature phases, which may be a consequence of the chiral restoration.
parallel talk Non-zero temperature and density   5
179 Loll, Renate loll@aei-potsdam.mpg.de top
J. Ambjorn, A. Dasgupta, J. Jurkiewicz, R. Loll
A Lorentzian cure for Euclidean troubles
After giving a brief review of the aims of discrete Lorentzian quantum gravity, I will outline some recent advances of this approach. In doing so I will concentrate on the evidence from both numerical simulations and a continuum analysis that the conformal divergence which has plagued Euclidean gravitational path integrals is absent from suitably defined non-perturbative path integrals over {\it Lorentzian} geometries.
parallel talk Quantum gravity and random surfaces   2
180 Lucini, Biagio lucini@thphys.ox.ac.uk top
B. Lucini and M. Teper
Confining strings in SU(N) gauge theory
We present results of a numerical study of SU(N) gauge theory in the limit of large N. In particular, we discuss high-klity strings, which are stable for N>4. The ratio $\sigma_k/\sigma_f$ ($\sigma_f$ being the string tension of the fundamental representation) gives new insights on colour confinement.
parallel talk Topology and confinement   5
181 Luscher, Martin luscher@mail.cern.ch top
Martin Luscher
Lattice QCD on PCs?
[plenary talk]
plenary talk  
 
182 Mackenzie, Paul mackenzie@fnal.gov top
Paul Mackenzie, Peter Lepage, and Howard Trottier
Highly improved staggered fermions.
We present a new action for highly improved staggered fermions. We show that perturbative calculations for the new action are well-behaved where those of the conventional staggered action are badly behaved. We discuss the effects of the new terms in controlling flavor mixing, and discuss the design of operators for the action.
poster Improvement and renormalization  
183 Mandula, Jeffrey jeffrey.mandula@science.doe.gov top
Jeffrey E. Mandula
Observations on the Relationship between the Laplacian and Landau Gauges
The Laplacian Gauge is, by construction, always free of Gribov copies, and it satisfies the Landau Gauge condition in the absence of interactions. We show that this property remains true to first order in Lattice Perturbation Theory, and examine it numerically beyond perturbation theory.
parallel talk Theoretical developments   1
184 Manke, Thomas manke@phys.columbia.edu top
X. Liao and T. Manke
Relativistic Bottomonium Spectrum from Anisotropic Lattices
We report on our results from a fully relativistic simulation of the quenched bottomonium spectrum. Using an anisotropic formulation of Lattice QCD, we were able to retain a very fine resolution into the temporal direction for a range of different lattice spacings. At fixed renormalised anisotropy we study the scaling properties of the spectrum and compare our results with non-relativistic calculations.
parallel talk Heavy quark physics   2
185 Marchetti, Pieralberto marchetti@pd.infn.it top
Pieralberto Marchetti
Monopole fields from vortex sheets reconciling Abelian and center dominance
[plenary talk]
plenary talk  
186 Markum, Harald markum@tuwien.ac.at top
E. Bittner, M.-P. Lombardo, H. Markum, R. Pullirsch
Lowest Eigenvalues of the Dirac Operator for Two Color QCD at Chemical Potential
An investigation of the spectrum of the staggered Dirac matrix in U(1) and SU(3) gauge theories exhibited universality concerning the low-lying eigenvalues. One observes that in the phase in which chiral symmetry is spontaneously broken the distribution $P(\lambda_{\min})$ and the microscopic spectral density $\rho_s(z)$ are described by chiral RMT. When chiral symmetry is restored one has to rely on ordinary RMT with the related space-time symmetries, but one finds for our lattice size only universal behavior of the macroscopic density $\rho(\lambda)$. Scheduled for this conference, we are analyzing the lowest eigenvalues in the case of two-color QCD both across the temperature phase transition and with the onset of a chemical potential.
poster Non-zero temperature and density  
187 Martinelli, Guido guid.martinelli@roma1.infn.it top
Guido Martinelli
Matrix elements
[plenary talk]
plenary talk  
188 Mathur, Nilmani mathur@pa.uky.edu top
Nilmani Mathur, Randy Lewis, and R.M. Woloshyn
Heavy Baryons from Lattice NRQCD
The mass spectrum of heavy quark baryons has been computed on an anisotropic lattice using quenched lattice nonrelativistic QCD. The mass splittings between spin-1/2 and spin-3/2 baryons are also calculated. Results are compared to those obtained by using a Dirac-Wilson action of the D234 type. Color hyperfine effects in heavy baryons is also discussed.
parallel talk Heavy quark physics   5
189 Matsufuru, Hideo matufuru@yukawa.kyoto-u.ac.jp top
H. Matsufuru, T. Onogi, T. Umeda
Anisotropic O(a) improved Wilson quark action and hadron spectroscopy
We study the O(a) improved Wilson quark action on the quenched anisotropic lattice with the renormalized anisotropy $\xi = 4$. The anisotropy parameter of quark is determined using the dispersion relation of mesons at three values of lattice spacing (1-2 GeV for spatial lattice cutoff) in the quark mass region less than and around the charm quark mass. As applications, we calculate the spectra of light hadrons and heavy-light (charmed) hadrons, and discuss the effect of systematic uncertainty induced in the tuning of anisotropy parameter.
parallel talk Improvement and renormalization   3
190 Mawhinney, Robert rdm@physics.columbia.edu top
R. Mawhinney (RBC Collaboration)
Lattice Values for the Low Energy Constants of $K \rightarrow \pi\pi$ Matrix Elements
Using quenched domain wall fermions and chiral perturbation theory, we have determined lattice $K \rightarrrow \pi \pi$ matrix elements from $K \rightarrow \pi$ and $K \rightarrow |0\rangle$ matrix elements for $a^{-1} \sim 2$ GeV. Since such a determination involves the subtraction of power divergent quantities, we must understand higher order effects in quenched chiral perturbation theory, the effects of finite $L_s$ for domain wall fermions and the role of topological near-zero modes. We discuss how these effects enter and are handled for representative exchange, gluonic penguin and electroweak penguin operators. This leads to our lattice values for the relevant low-energy constants $\alpha^{(27,1)}_{\rm lat}$, $\alpha^{(8,1)}_{1, \rm lat}$ and $\alpha^{(8,8)}_{\rm lat}$, which are needed to determine physical $K \rightarrow \pi \pi$ matrix elements.
parallel talk Hadronic matrix elements   2
191 Maynard, Christopher cmaynard@ph.ed.ac.uk top
UKQCD collaboration C.M. Maynard
Heavy-light mesons on the lattice
Matrix elements of decays of heavy-light mesons from lattice QCD, including a preliminary examination of fB on UKQCD's NF=2 configurations.
parallel talk Heavy quark physics   4
192 McIntosh, John jam@physics.unimelb.edu.au top
J.A.L. McIntosh and L.C.L. Hollenberg
Analytic calculation of the mass gap in U$(1)_{2+1}$ lattice gauge theory
The plaquette expansion method is applied to an analytic calculation of the anti-symmetric mass gap $M$ of compact U$(1)_{2+1}$ in the Hamiltonian formalism. Based on the first four moments of the Hamiltonian with respect to a one-plaquette mean field state the results demonstrate clear scaling of $M$ at and beyond the transition from strong to weak coupling. The scaling parameters determined agree well with the range of numerical determinations available.
poster QCD spectrum and quark masses  
193 McIntosh, John jam@physics.unimelb.edu.au top
Jesse Carlsson, Lloyd C L Hollenberg, John A L McIntosh, Bruce H J McKellar
Improved Hamiltonian Lattice Gauge Theory
This paper is divided into two parts. In the first part, we demonstrate that a direct approach to improving Hamiltonian lattice gauge theory is possible. Our approach is to correct errors in the Kogut-Susskind Hamiltonian by incorporating additional gauge invariant terms. The coefficients of these terms are chosen so that the order $a^2$ classical errors vanish. In the second part we demonstrate the use of the improved Hamiltonian in variational and coupled cluster calculations of the vacuum energy density, specific heat and mass gap for SU(2) and SU(3) gauge theories.
poster Improvement and renormalization  
194 McNeile, Craig mcneile@amtp.liv.ac.uk top
Craig McNeile
Hadron spectroscopy of twisted mass lattice QCD at beta = 6.0
I report on studies of the hadron spectroscopy of O(a) improved twisted mass lattice QCD with simulation parameters of 16**3x48, beta = 6.0. I will also present results for the eigenvalue spectrum and pseudospectra of the twisted mass QCD action.
parallel talk QCD spectrum and quark masses   4
195 Meurice, Yannick yannick-meurice@uiowa.edu top
Y. Meurice
How to make perturbative series converge by cutting off large field configurations
We show numerically in two lambda phi 4 problems that cutting off the large field configurations cures the divergence of perturbation theory. At sufficiently large coupling, this procedure outperforms Pade's approximants. We explain the universal features of the errors associated with this procedure in terms of lattice inequalities. We discuss the continuum limits of these inequalities. We discuss the extension of this procedure for lattice gauge theory.
parallel talk Spin models   2
196 Michael, Chris c.michael@liv.ac.uk top
C. McNeile and C. Michael
The strangeness content of the nucleon.
We evaluate the matrix element of $\bar{q} q$ in hadron states on a lattice. We find substantial mixing of the connected and disconnected contributions so that the lattice result that the disconnected contribution to the nucleon is large does not imply that the $\bar{s} s$ content is large.
parallel talk Hadronic matrix elements   1
197 Miller, Travis tmiller@artsci.wustl.edu top
Travis R. Miller and Michael C. Ogilvie
Nonequilibrium phenomena in Finite Temperature SU(3) Gauge Theory
After a rapid increase in system temperature across the deconfinement temperature T_d, the subsequent evolution of the Polyakov loop towards equilibrium is governed by the equilibrium effective action. Metastability is observed for a range of temperatures from T_d to T_s, with spinodal decomposition dominating equilibration above T_s. From nonequilibrium simulations, we reconstruct the equilibrium effective action, and estimate key observables associated with spinodal decomposition, nucleation, and relaxation. Using several methods, we measure k_c, the critical wavelength associated with spinodal decomposition. Late-stage relaxation towards equilibrium is controlled by the Debye screening mass m_D.
parallel talk Non-zero temperature and density   7
198 Mitrjushkin, Valentin vmitr@thsun1.jinr.ru top
V.K. Mitrjushkin, A.I. Veselov
An interpolating gauge between no-gauge and Maximally Abelian gauge in SU(2) lattice theory.
Gauge variant gluon propagators are calculated in SU(2) lattice gauge theory for the different choices of the gauge fields. Different choices of Lorentz (or Landau) gauge fixing condition are compared.
parallel talk Topics in gauge theories   1
199 MJAHED, Mostafa mmjahed@hotmail.com top
Classification of Multi-jet Topologies in e+ e - collisions using Multivariate Analysis Methods and Morphological Variables
A number of interesting studies of e+ e- collisions at LEP2, may be performed using the differences between the topologies of the produced events. In fact, several processes and channels are expected, where hadronic events with multi-jet topologies will be produced, with dominant rates, through the Z or W’s decays. It is obvious that the identification of these abundant processes and the tagging of these multi-jet topologies will need analysis techniques which efficiently discriminate between very noisy data and very overlapped classes of events. We propose, in this paper, to use a new kind of variables usually used in image processing and recognition problems as the elongation, the compactness, the invariant moments and the polar signature. These so-called morphological variables, are comparable to the classical sphericity, aplanarity. The amelioration of the recognition efficiency is gotten thanks to the use of several multivariate analysis methods. As linear classifiers, the linear discriminant analysis, the binary decision tree and a minimal distance technique are achieved. As non-linear classifiers, we used non-linear discriminant analysis as well as a back-propagation neural network. Applied to four classes of ALEPH simulated events (corresponding to 2 jets, 3 jets, 4 jets and n jets events, n>4), these multivariate classifiers allowed us to notice a good classification compared to the classical univariate cuts. Neural network have proven themselves to be more efficient classifier than the other techniques. The efficiencies and purities achieved with the optimized neural network are in average 1 to 7 % higher than those obtained with the four others methods.
poster Algorithms and machines  
200 Molodtsov, Serguei molodtsov@vitep5.itep.ru top
S.V.Molodtsov and G.M.Zinovjev
Instanton liquid at finite baryon density
We study the interactions of light quarks in the instanton liquid at nonzero density of quark matter. The behaviour of dynamical quark mass, chiral and diquark condensates together with the instanton liquid density are investigated as the functions of quark chemical potential. The possibility of realizing the colour superconducting phase of dense QCD is estimated.
poster Non-zero temperature and density  
201 Molodtsov, Serguei molodtsov@vitep5.itep.ru top
S.V.Molodtsov, A.M.Snigirev, G.M.Zinovjev
Quark interactions in the instanton liquid
The selfconsistent approach to the quark interactions in the instanton liquid is developed within the tadpole approximation calculating the basic functional integral. The effective Lagrangian obtained includes colourless scalar field interacting with quarks. The origin of this dynamical field as an interaction carrier in soft momentum region is discussed.
poster QCD spectrum and quark masses  
202 Moore, Guy guymoore@phys.washington.edu top
Guy D. Moore
Atomic Bose-Einstein condensation and the lattice
The condensation temperature of a bosonic atomic gas is corrected by atomic interactions. Surprisingly, the effective theory determining the shift in the transition temperature shows nonperturbative physics best solved by lattice techniques similar to those applied to study the electroweak phase transition on the lattice.
parallel talk Spin models   1
203 Moutarde, Herve herve.moutarde@cpht.polytechnique.fr top
Ph. Boucaud, J.P. Leroy, H. Moutarde, J. Micheli, O. Pene, J. Rodriguez-Quintero, C. Roiesnel
Preliminary calculation of alpha_s from Green functions with dynamical quarks.
We present preliminary results on the computation of the QCD running coupling in the \tilde{MOM} scheme and Landau gauge with two flavours of dynamical Wilson quarks. Gluon momenta range up to about 7 GeV (\beta=5.6, 5.8 and 6.0) with a constant dynamical mass. This range allows already to exhibit some evidence for a sizeable 1/p^2 correction to the asymptotic behaviour, as in the quenched approximation.
poster QCD spectrum and quark masses  
204 MUROYA, Shin muroya@yukawa.kyoto-u.ac.jp top
S.Choe, S.Muroya, A.Nakamura, C.Nonaka, T.Saito and F.Shoji
Lattice Tool Kit in Fortran90
We have written a simulation code, LTKf90, for lattice QCD. It includes quench update (pseudo heatbath and Metropolis), solver with Wilson fermions and Hybrid Monte Carlo part. We intend to offer not libraries but elements to construct more efficient and/or complicated programs. It is available from http://pan.ias.hiroshima-u.ac.jp/~LTK/ All routines are written in Fortran90. As demonstrated by Dasgupta, Levi, Lubicz and Rebbi (hep-lat/9612015), Fortran90's new features, especially module, are powerful to realize simple codes close to original mathematical expressions. The code runs on many platforms not at the highest performance, but at reasonable speed. We report its performance on SX5 (shared memory vector), SR8000 (shared memory, pseudo vector), and several distributed memory PC clusters which consist of Compaq alpha and Apple G4 together with Gigabit Ether, Myrinet, and Myrinet2k.
poster Algorithms and machines  
205 MUSLIH, SAMI sami_muslih@hotmail.com top
Sami I. Muslih
The Hamilton-Jacobi treatment for an abelian Chern-Simons system
The abelian Cher-Simons system is treated as a constrained system using the Hamilton-Jacobi approach. The equations of motion are obtained as total differential equations in many variables. It is shown that their simultaneous solutions with the constraints lead to obtain the canonical phase space coordinates and reduced phase space Hamiltonian with out introducing Lagrange multipliers and with out any additional gauge fixing conditions.
poster Topics in gauge theories  
206 Münster, Gernot munsteg@uni-muenster.de top
Gernot Münster and Christel Kamp
Distribution of Instanton Sizes in a Simplified Instanton Gas Model
We investigate the distribution of instanton sizes in the framework of a simplified model for ensembles of instantons. This model takes into account the non-diluteness of instantons. The infrared problem for the integration over instanton sizes is dealt with in a self-consistent manner by approximating instanton interactions by a repulsive hard core potential. This leads to a dynamical suppression of large instantons. The characteristic features of the instanton size distribution are studied by means of analytic and Monte Carlo methods. The numerical Monte Carlo calculations are done in the grand canonical ensemble. In any dimension we find a power law behaviour for small sizes, consistent with the semi-classical results. At large instanton sizes the distribution decays exponentially. The results are compared with those from lattice simulations and indicate that our simplified model reproduces the main features of instanton ensembles with a dynamical infrared cut-off.
parallel talk Topology and confinement   4
 
207 NAKAMURA, Atsushi nakamura@riise.hiroshima-u.ac.jp top
S.Muroya, A.Nakamura, C.Nonaka, M.Sekiguchi and H.Wada
Study of sigma meson on the lattice
The sigma meson, iso-singlet scalar particle, plays the central role in QCD chiral symmetry breaking mechanism. Yet it is very obscure whether \sigma is a pole or a simple \pi-\pi correlation effect. Recent reanalysis of the phase shift in \pi-\pi channel by Igi and Hikasa (Phys. Rev. D59, 034005 (1999)) strongly suggests the existence of \sigma whose mass is near to \rho. We have studied I=0 and J^P=0^+ channel by lattice QCD. We construct the channel as (\bar{u}u+\bar{d}d)/\sqrt{2}|0>. Since both connected and disconnected diagrams contribute in the channel, we work in full QCD. Disconnected quark loops are evaluated by a noise method. We use Wilson fermions with Nf=2 at \beta=4.8 (the lattice spacing is about 0.197fm). Although they should be considered preliminary, our numerical data show 1) the disconnected part has large contribution, 2) masses of \sigma and \rho are at the same order although \sigma suffers from larger error bars. We discuss also a) formulation to measure correlations of an operator whose vacuum expectation value does not vanish. b) 0~+ glueball mixing effect.
poster QCD spectrum and quark masses  
208 Nakayama, Yoichi yoichi@eken.phys.nagoya-u.ac.jp top
Yoshio Kikukawa, Yoichi Nakayama, Hiroshi Suzuki
On the lattice construction of electroweak gauge theory
We discuss a lattice construction of electroweak theory with exact gauge invariance, based on the Ginsparg-Wilson relation. Our construction includes the topologically non-trivial sectors of SU(2) gauge fields, while U(1) gauge fields are restricted to the vacuum sector. We show that the global integrability condition is satisfied in the sectors which possess a SU(2) configuration invariant under a certain reflection symmetry.
poster Chiral fermions and gauge theories  
209 Namekawa, Yusuke namekawa@het.ph.tsukuba.ac.jp top
CP-PACS Collaboration : S.~Aoki, R.~Burkhalter, S.~Ejiri, M.~Fukugita, S.~Hashimoto, N.~Ishizuka, Y.~Iwasaki, K.~Kanaya, T.~Kaneko, Y.~Kuramashi, V.~Lesk, Y.~Namekawa, M.~Okamoto, M.~Okawa, Y.~Taniguchi, A.~Ukawa and T.~Yoshi\'e
Equation of state for pure SU(3) gauge theory on anisotropic lattices
We present a study of equation of state for pure SU(3) gauge theory with the plaquette action using anisotropic lattices with the anisotropy $\xi \equiv a_{s}/a_{t} = 2$. The pressure and energy density are calculated on $16^{3} \times 8$, $20^{3} \times 10$ and $24^{3} \times 12$ lattices. Unlike the case of the isotropic lattices, the pressure and energy density are found to satisfy the leading $1/N_{t}^{2}$ behavior from our coarest lattice $N_{t}/\xi=4$. We perform a well controlled continuum extrapolation of the results and find that the pressure and energy density agree with those obtained on isotropic lattices with the same action, but have smaller and more reliable errors.
parallel talk Non-zero temperature and density   5
210 Necco, Silvia necco@ifh.de top
Rainer Sommer, Silvia Necco
The Nf=0 heavy quark potential and perturbation theory
In the pure gauge theory it is possible to investigate the heavy quark potential at short distances, connecting the short and long ranges in a large volume (64^4 lattice). On the other hand, the lambda parameter is known and this allows a perturbative parameterfree prediction for the force at short distances. We present the simulation results for the force and the potential in the range 0.05-0.8 fm. Perturbation theory is quite accurate up to 0.15 fm and no evidence of non-perturbative effects is seen. The bosonic string description, which is expected to be valid at large distances, is in excellent agreement with our results for surprisingly small distances.
poster Improvement and renormalization  
211 Neff, Hartmut neff@theorie.physik.uni-wuppertal.de top
H. Neff
Improving eigenmode calculations for nonhermitian Wilson-type Dirac matrices.
It will be shown that eigenmode calculations for nonhermitian Wilson-type Dirac matrices can be accelerated substantially by a simple polynomial transformation. In this manner the eigenmode algorithm becomes sensitive to spectral regions close to the real axis, which in general is the physically interesting part of the spectrum.
parallel talk Algorithms and machines   1
212 Negele, John negele@mitlns.mit.edu top
R. Brower, S. Chandrasekharan, J. W. Negele, and U.-J. Wiese (LHPC collaboration)
QCD at Fixed Topology
Because present Monte Carol algorithms for lattice QCD may become trapped in a given topological charge sector when one approaches the continuum limit, it is important to understand the effect of calculating at fixed topology. In this work, we show that although the restriction to a fixed topological sector becomes irrelevant in the infinite volume limit, it gives rise to characteristic finite size effects due to contributions from all $\theta$-vacua. We calculate these effects and show how to extract physical results from numerical data obtained at fixed topology.
parallel talk Topology and confinement   2
213 Nelson, Daniel nelson@aluminumangel.org top
Greg Kilcup George Fleming Daniel Nelson
Does m_u=0?
We implemented the Sharpe and Shoresh program for the calculation of the Gasser-Leutwyler coefficients in the QCD chiral lagrangian. Using dynamical n_f=3 simulations we present preliminary results for 2 L_8 - L_5, a combination important in the determination of m_u.
parallel talk QCD spectrum and quark masses   1
214 Nicolis, Stam Stam.Nicolis@phys.univ-tours.fr top
P. Dimopoulos,K. Farakos, C. P. Korthals-Altes, G. Koutsoumbas and S. Nicolis
Branes in the 5D Higgs Model
We find 3-brane Higgs or Coulommb phases in the 5D Abelian Higgs Model and determine the transition surfaces that separate them from the usual bulk phases.
parallel talk Higgs Yukawa SUSY theories   1
215 Noaki, Jun-Ichi noaki@het.ph.tsukuba.ac.jp top
CP-PACS Collaboration: S. Aoki, Y. Aoki, R. Burkhalter, S. Ejiri, M. Fukugita,S. Hashimoto, N. Ishizuka, Y. Iwasaki, T. Izubuchi,K. Kanaya, T. Kaneko, Y. Kuramashi, V. Lesk, K. Nagai, J. Noaki(*), M. Okawa, Y. Taniguchi, A. Ukawa, T. Yoshi\'e
Calculation of$K\to\pi\pi$ decay amplitudes from $K\to\pi$ matrix elements in quenched domain-wall QCD
We present a calculation of the hadronic matrix elements for $K\to\pi\pi$ decay within the quenched approximation. Use is made of the relation between the $K\to\pi$ matrix elements, to be computed on the lattice, and those for $K\to\pi\pi$ derived in the framework of chiral perturbation theory at the leading order. In the numerical simulation, the domain-wall fermion formalism and the renormalization group improved gauge action are employed to ensure the required chiral properties. Perturbative renormalization factors at one loop and renormalization group running are applied to obtain the physical $K\to\pi$ matrix elements. The resuls are applied to examine the $\Delta I=1/2$ rule and the value of $\varepsilon'/\varepsiolon$.
parallel talk Hadronic matrix elements   3
216 Nobes, Matthew manobes@sfu.ca top
Matthew Nobes Howard Trottier
Perturbative evaluation of Wilson loops to $O(g^{4})$
Perturbative calculations are crucial for implementing various improved actions. We have used several techniques that simplify and automate perturbation theory for very complicated lattice actions (quarks and glue). Using these techniques we have calculated the renormalized coupling to one loop order using Symanzik improved glue and with improved staggered fermions. This poster will present our results as well as detail the techniques used to obtain them.
poster Improvement and renormalization  
217 Nomura, Kouji nomura@hiroh2.hepl.hiroshima-u.ac.jp top
K. Nomura T. Umeda O. Miyamura H. Matufuru
Study of spatial meson correlations at finite temperature in quenched QCD on anisotropic lattice.
We analyze the spatial correlation function of meson at finite temperature. To achieve fine resolution in the spatial direction we use an anisotropic lattice with standard Wilson gauge action and O(a) improved Wilson quark action. Below and above Tc, properties of the correlation functions are investigated by two methods: fit with an ansatz for the spectral function (e.g.two poles), and direct reconstruction of the spectral function using the Maximum Entropy Method.
poster Non-zero temperature and density  
218 NONAKA, Chiho nonaka@hiroh2.hepl.hiroshima-u.ac.jp top
S.Muroya, A.Nakamura and C.Nonaka
SU(2) Lattice QCD with Finite Chemical Potential
Using Iwasaki action and Wilson fermion, we study the SU(2) QCD vacuum at finite chemical potential. The ratio of fermion determinants is evaluated at each Metropolis link update process. We calculate expectation values of the Polyakov line, baryon number density and the gluon energy density as a function of chemical potential on $4^4$ and $4^3\times 8$ lattice. Comparing with our previous calculation with the standard plaquete action, we can reach to larger chemical potential, i.e., we have studied the regions 0 \leq \mu*a \leq 0.9 Around $\mu a$ = 0.4 we observe the rapid increase in all physical quantities. These results indicate that we are near to the confinement/deconfinement transition. The expectation value of the pseudo scalar, vector and baryonium (qq) masses are also measured. The results suggest the chiral symmetry restored at high density. In addition to above calculations, we perform the two-color hybrid monte calro simulations at finite density and make a comparison between the two calculations. We study the mechanism of confinement/deconfinement transition and chiral symmetry restored from the hadron at finite chemical potential.
parallel talk Non-zero temperature and density   5
 
219 Ogilvie, Michael mco@wuphys.wustl.edu top
Peter N. Meisinger, Travis R. Miller, and Michael C. Ogilvie
Phenomenological Equations of State for the Quark-Gluon Plasm
Two phenomenological models describing an SU(N) quark-gluon plasma are presented. Model A is obtained from a high temperature expansion of the free energy of a massive gluon, while model B is derived by demanding color neutrality over regions of a certain size. Each model has a single free parameter, exhibits behavior similar to lattice simulations over the range T_d-5T_d, and has the correct blackbody behavior for large temperatures. The N=2 deconfinement transition is second order in both models, while N=3,4, and 5 are all weakly first order. Both models appear to have a smooth large-N limit. In both models, the confined phase is characterized by a symmetric arrangement of Polyakov loop eigenvalues that makes the Polyakov loop expectation value zero. In the deconfined phase, the rotation of the eigenvalues in the complex plane towards 1 is responsible for the approach to the blackbody limit over the range T_d-5T_d. Simulations for SU(3) confirm this picture. The addition of massless quarks in SU(3) breaks Z(3) symmetry weakly and eliminates the phase transition.
parallel talk Non-zero temperature and density   5
220 Okamoto, Masataka okamoto@rccp.tsukuba.ac.jp top
CP-PACS collaboration: S.~Aoki, R.~Burkhalter, S.~Ejiri, M.~Fukugita, S.~Hashimoto, N.~Ishizuka, Y.~Iwasaki, K.~Kanaya, T.~Kaneko, Y.~Kuramashi, V.~Lesk, K.~Nagai, M.~Okamoto(*), M.~Okawa, Y.~Taniguchi, A.~Ukawa, T.~Yoshi\'e (*) speaker
Charmonium spectrum from quenched anisotropic lattices
We present our results of the quenched charmonium spectrum on anisotropic lattices. Simulations are carried out with the standard plaquette gauge action and a mean-field improved asymmetric clover quark action employing $\xi = a_s/a_t = 3$ lattices. We calculate the spectrum of S- and P-states and their excited states. We study the scaling behavior of mass splittings, and compare with the experiment and previous lattice results.
parallel talk Heavy quark physics   2
221 Okawa, Masanori masanori.okawa@kek.jp top
JLQCD collaboration: S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, T.~Yoshi\'{e}
Non-trivial phase structure of N_f=3 QCD with O(a) improved Wilson fermion at zero temperature
We recently started N_f=3 QCD simulations with O(a) improved Wilson fermion employing exact fermion algorithm which we developed for odd number of flavors. We found that this theory has non-trivial phase structure in the (\beta,\kappa) plane even at zero temperature. We do not observe such phase structure at zero temperature in neither N_f=2 QCD nor N_f=3 QCD with unimproved Wilson fermion. A detailed study is made to understand the nature of the observed phase structure.
poster QCD spectrum and quark masses  
222 Olejnik, Stefan fyziolej@savba.sk top
M. Faber, J. Greensite, S. Olejnik
Center Dominance Recovered: Direct Laplacian Center Gauge
We introduce a variation of direct maximal center gauge fixing: the ``direct Laplacian'' center gauge. The new procedure overcomes certain shortcomings of maximal center gauge, associated with Gribov copies, that were pointed out by Bornyakov et al. in hep-lat/0009035.
parallel talk Topology and confinement   2
223 Oliveira, Orlando orlando@teor.fis.uc.pt top
O. Oliveira P. J. Silva
Gribov copies and gauge fixing in lattice gauge theories
We address the problem of the Gribov copies in lattice gauge theories. For the Landau gauge, results show that a suitable combination of evolutionary algorithms with traditional steepest descent methods correctly identifies the global maximum of the optimization function. We discuss the performance of the combined algorithm for SU(2) and SU(3) on small cubic lattices.
poster Algorithms and machines  
224 Onogi, Tetsuya onogi@yukawa.kyoto-u.ac.jp top
Shoji Hashimoto, Tomomi Ishikawa and Tetsuya Onogi
Nonperturbative calculation of Z_A/Z_V for heavy-light currents using Ward-Takahashi identity
We determine the ratio of renormalization factors of vector and axial-vector heavy-light currents. The calculation is performed nonperturbatively using the axial Ward-Takahashi identity for the heavy-light currents.
parallel talk Heavy quark physics   1
225 Orginos, Konstantinos kostas@bnl.gov top
Konstantinos Orginos for Riken-BNL-Columbia Collaboration
Chiral properties of Domain Wall Fermions with Improved Gauge actions
We study the chiral properties of quenched Domain Wall Fermions with several gauge actions. We demonstrate that the nearly translationally invariant modes in the fifth dimension that dominate the residual mass on Wilson Gauge action, can be substantially suppressed using improved gauge actions. In particular the Symanzik action, the Iwasaki action, and other renormalization group inspired gauge actions have been studied and compared to the Wilson action.
parallel talk Chiral fermions and gauge theories   1
226 Orth, Boris orth@theorie.physik.uni-wuppertal.de top
Boris Orth (GRAL Collaboration)
Full QCD beyond the rho decay threshold
The GRAL project (Going Realistic and Light) aims at simulating N_f=2 QCD below the vector meson decay threshold, m_\pi/m_\rho < 0.5. Working on a number of different spatial lattice volumes we will make use of finite size scaling to measure physical observables. For fixed Wilson action parameters (beta, kappa) several different lattice sizes will be investigated. Finite size effects are exploited in order to extrapolate to the infinite volume prior to the usual chiral and continuum extrapolations. We report on the current status and future prospects of the project.
poster QCD spectrum and quark masses  
227 ORTIZ, GERARDO ortiz@viking.lanl.gov top
GERARDO ORTIZ
The challenge of quantum computer simulation of physical phenomena
[plenary talk]
plenary talk  
 
228 Pallante, Elisabetta pallante@he.sissa.it top
Maarten Golterman Elisabetta Pallante
Effects of Quenching and Partial Quenching on Penguin Matrix Elements
In the calculation of non-leptonic weak decay rates, a ``mismatch" arises when the QCD evolution of the relevant weak hamiltonian down to hadronic scales is performed in unquenched QCD, but the hadronic matrix elements are then computed in (partially) quenched lattice QCD. This mismatch arises because the transformation properties of penguin operators under chiral symmetry change in the transition from unquenched to (partially) quenched QCD. Here we discuss QCD-penguin contributions to $\Delta S=1$ matrix elements, and show that new low-energy constants contribute at leading order in chiral perturbation theory in this case.
parallel talk Hadronic matrix elements   3
229 Panagopoulos, Haralambos haris@ucy.ac.cy top
A. Bode, H. Panagopoulos, Y. Proestos
O(a) improved QCD: The 3-loop beta-function, and the critical hopping parameter.
We calculate the 3-loop bare $\beta$-function of QCD, formulated on the lattice with the clover fermionic action. The dependence of our result on the number of colors $N$, the number of fermionic flavors $N_f$, as well as the clover parameter $c_{SW}$, is shown explicitly. A direct outcome of our calculation is the two-loop relation between the bare coupling constant $g_0$ and the one renormalized in the $\overline{{\rm MS}}$ scheme. Further, we can immediately derive the three-loop correction to the relation between the lattice $\Lambda$-parameter and $g_0$, which turns out to be very pronounced. We also calculate the critical value of the hopping parameter, $\kappa_c$, in the clover action, to two loops in perturbation theory. This quantity is an additive renormalization; as such, it exhibits a linear divergence in the lattice spacing. We compare our results to non perturbative evaluations of $\kappa_c$ coming from MC simulations.
poster Improvement and renormalization  
230 Papa, Alessandro papa@cs.infn.it top
Roberto Fiore, Alessandro Papa, Paolo Provero
Finite size scaling and deconfinement transition in gauge theories
A new method is proposed for determining the critical indices of the deconfinement transition in gauge theories. The method is based on the finite size scaling behavior of the expectation value of simple lattice operators, such as the plaquette. A precise determination of the critical index $\nu$, in agreement with the prediction of the Svetitsky-Yaffe conjecture, is obtained applying the method to the case of $SU(3)$ pure gauge theory in $(2+1)$ dimensions. Preliminary results for the case of $SU(2)$ pure gauge theory in $3+1$ dimensions are also presented.
poster Non-zero temperature and density  
231 Papinutto, Mauro Mauro.Papinutto@roma1.infn.it top
D.Becirevic, Ph.Boucaud, V.Gimenez, C.-J.D.Lin, V.Lubicz, G.Martinelli, M.Papinutto, F.Rapuano,C.T.Sachrajda
K->pi pi matrix elements for epsilon'/epsilon and Delta I = 1/2 rule, with Wilson like fermion.
We present the status of a lattice calculation for the matrix elements of the Delta S = 1 effective weak Hamiltonian which are relevants in the determination of epsilon'/epsilon and for the Delta I = 1/2 rule, with two pions in the final state and by using Wilson fermions. We discuss some issues about the Goldstone pole contamination of the non-perturbative renormalization constants for Delta I = 3/2 four fermion operators. We study the effects of final state interaction both in the Delta I=1/2 and Delta I=3/2 channels and we show some preliminary results for the matrix elements of the Delta I=1/2 CP-conserving and CP-violating operators. Our quenched simulation are done at beta=6.0, lattice size 24^3*64, with the non-perturbatively improved clover action.
parallel talk Hadronic matrix elements   3
232 Patel, Apoorva adpatel@cts.iisc.ernet.in top
A. Patel and R. Ratabole
Mesons in transverse lattice QCD at strong coupling and large-N
Mesons in large-N QCD are analysed in light-front coordinates with a transverse lattice at strong coupling. In this limit, their properties can be expressed as simple renormalisations of the 'tHooft model results. Spectrum, light-cone wavefunctions and form factors of various mesons are calculated.
parallel talk QCD spectrum and quark masses   4
233 Peardon, Mike mjp@maths.tcd.ie top
Mike Peardon
Progress in lattice algorithms
[plenary talk]
plenary talk  
234 Pelissetto, Andrea Andrea.Pelissetto@roma1.infn.it top
S. Caracciolo, A. Montanari, A. Pelissetto
Nonlinear sigma-models on discrete non-Abelian groups
We study the two-dimensional renormalization-group flow induced by perturbations that reduce the global symmetry of the $O(3)$ $\sigma$-model to the discrete symmetries of Platonic solids. We estimate the value of the correlation length at which differences in the behaviour of the various models should be expected. For the icosahedron model, we find $\xi\gtapprox 200$. We provide an explanation for the recent numerical results of Patrascioiu and Seiler and of Hasenfratz and Niedermayer.
parallel talk Spin models   2
235 Pena, Carlos Carlos.PenaRuano@roma2.infn.it top
M. Guagnelli J. Heitger C. Pena S. Sint A. Vladikas
$K-\bar{K}$ mixing amplitude with Schr\"odinger Functional and twisted mass QCD
Schr\"odinger Functional and twisted mass QCD techniques are combined in the computation of renormalized matrix elements of four-fermion operators in lattice QCD. First results for the $K-\bar{K}$ mixing amplitude obtained from this setup will be presented.
parallel talk Hadronic matrix elements   2
236 pene, olivier olivier.pene@th.u-psud.fr top
Ph. Boucaud, A. Le Yaouanc, J.P. Leroy, J. Micheli, O. Pene, J. Rodríguez-Quintero
Consistent OPE Description of Gluon Two- and Three-point Green Function?
We perform an OPE analysis of the flavorless non-perturbative gluon propagator and the symmetric three-gluon vertex in the Landau gauge. The first subdominant operator is $A_\mu A^\mu$ which can condensate in the Landau gauge ``vacuum'' although being a non-gauge invariant operator. We neglect all higher dimension operators. Then the gluon propagator and the symmetric three gluon vertex only depend on one common unknown condensate. We propose a consistency check from lattice data. At two loops for the leading coefficient and with $1/p^2$ corrections at tree-level order the two fitted values for the condensate do not agree. At three loops we argue that the today unknown $\beta_2^{\rm MOM}$ should be equal to $1.5(3)\times \beta_2^{\widetilde{\rm MOM}}=7400(1500)$ to fulfill the OPE relation. Inclusion of the power corrections' anomalous dimensions should improve further the agreement. We show that these techniques cannot be applied to the asymmetric three gluon vertex with one vanishing momentum.
parallel talk Topics in gauge theories   1
237 Pepe, Michele pepe@th.u-psud.fr top
Michele Pepe Philippe de Forcrand Lorenz von Smekal
A finite size scaling study of interfaces in the 3d Ising model.
Near the deconfinement temperature, 4d SU(2) Yang-Mills theory is believed to belong to the same universality class as the 3d Ising model. Results of a numerical study on the universal finite size scaling functions for interfaces in the 3d Ising model are reported, with the purpose of learning about the screening properties of SU(2) 't Hooft loops.
parallel talk Spin models   2
238 Petersson, Bengt bengt@physik.uni-bielefeld.de top
P. Bialas, Z. Burda, B. Petersson, J. Tabaczek
Geometry of reduced supersymmetric 4D Yang-Mills integrals and a related surface model
With the help of numerical simulations we discuss the long distance properties of the models. In particula we show the excistence of one-dimensional configurations in the powerlike tails of the distributions. The generalization to six and ten dimensions are discussed.
poster Higgs Yukawa SUSY theories  
239 Petrarca, Silvano petrarca@roma1.infn.it top
L.Giusti, M.L.Paciello, S.Petrarca, N. Tantalo, B. Taglienti
Quark and gluon propagator in the covariant gauge
Preliminary results on the gluon and quark propagator computed in the covariant gauge for different values of the gauge parameter are presented. Some physical consequences are discussed.
parallel talk Theoretical developments   1
240 Petreczky, Peter petreczk@physik.uni-bielefeld.de top
F. Karsch, E. Laermann, P. Petreczky S. Stickan and I. Wetzorke
Temporal quark and gluon propagators in the deconfined phase
The temporal quark and gluon propagators in the deconfined phase of QCD are related to the properties of the quasi-particles in the plasma. So far the properties of these quasiparticles were studied only in perturbation theory which is, however, valid only for large temperatures. We have studied the temporal quark and gluon propagators in quenched QCD on 48^3x12 and 64^3x16 lattices at temperatures 1.5 T_c and 3 T_c (T_c is the deconfinement temperature). We calculate the propagator in Coulomb and Landau gauge and perform a detailed comparison with prediction of perturbation theory at 3T_c. Using the Maximal Entropy Method we extract the quark dispersion relation from the lattice propagator in Coulomb gauge.
parallel talk Non-zero temperature and density   6
241 Petrov, Konstantin petrov@physik.uni-bielefeld.de top
P.Bialas,A.Morel,B.Petersson,K.Petrov,T.Reisz
Screening masses in (2+1)D QCD in the plasma phase and the reduced model
We discuss the low energy spectrum of an SU(3) gauged 2D model for adjoint scalar fields, defined by dimensional reduction of pure gauge QCD in (2+1)D at high temperature. Two colourless bound states, respectively even and odd under the $Z_2$ symmetry related to time reversal in the original theory are identified, which saturate the correlations between Polyakov loops. Their contributions in correlation functions of local composite operators $A_n$ respectively of degree $n=2p$ and $2p+1$ in the scalar fields ($p=1,2$) fulfill factorization. States corresponding to channels with other quantum numbers are discussed.
poster Topics in gauge theories  
242 Pfeiffer, Hendryk H.Pfeiffer@damtp.cam.ac.uk top
Hendryk Pfeiffer
The dual of non-Abelian Lattice Gauge Theory and some of its features
Non-Abelian Lattice Gauge Theory in d>=2 with an arbitrary compact Lie groups as the gauge group is related to a Spin Foam Model by an exact duality transformation [Nucl. Phys. B 598 (2001) p. 400]. The observables of the two models are related in such a way that expectation values in Lattice Gauge Theory correspond to ratios of partition functions in the dual model. Conversely one can find expectation values in the dual model which correspond to the same ratios of partition functions that are currently used in the study of Z_N monopoles in SU(N) gauge theories. This situation parallels the construction of monopole correlators in U(1) Lattice Gauge Theory. I will also comment on the stron-weak nature of this transformation, on how to extract the strong coupling expansion from the dual model and on possible further applications.
parallel talk Theoretical developments   1
243 Philipsen, Owe philipse@mitlns.mit.edu top
Non-perturbative parton masses
A gauge invariant, non-local observable is constructed in lattice pure gauge theory, which is identical to the gluon propagator in a particular gauge. The transfer matrix formalism is used to show that this correlator decays exponentially with eigenvalues of the Hamiltonian. This implies a gauge invariant singularity structure of the propagator in momentum space, permitting a non-perturbative definition of a parton mass. The relation to gauge fixing and the extension to matter fields are discussed.
parallel talk QCD spectrum and quark masses   3
244 Pisarski, Rob pisarski@bnl.gov top
A. Dumitru and R. D. Pisarski
Testing the Polyakov Loop Model on the Lattice
The Polyakov Loop Model makes testable predictions for the deconfined phase of QCD. In particular, the screening mass is related to the pressure.
poster Non-zero temperature and density  
245 Pleiter, Dirk dirk.pleiter@desy.de top
Dirk Pleiter
Low-lying fermion modes of Nf=2 improved Wilson fermions
We will present initial results for the topological charge and susceptibility determined from the low-lying eigenmodes of the Wilson-Dirac operator. These modes have been computed on dynamical configurations with Nf=2 non-perturbatively improved Wilson fermions. We compare our results with the eigenmodes of fermions in the quenched approximation.
parallel talk Topology and confinement   4
246 Polikarpov, Mikhail polykarp@heron.itep.ru top
: V.G.Bornyakov, M.N.Chernodub, F.V.Gubarev, M.I.Polikarpov, T.Suzuki, A.I.Veselov, V.I.Zakharov
Anatomy of the Magnetic Monopole in SU(2) Lattice Gauge Theory
We study the Abelian and non-Abelian action density near the monopole in the maximal Abelian gauge of SU(2) lattice gauge theory. We find that the non-Abelian action density near the monopoles belonging to the percolating cluster decreases when we approach the monopole center. Our estimation for the monopole radius is R_mon ~ 0.06 fm
poster Topology and confinement  
247 Pullirsch, Rainer pull@kph.tuwien.ac.at top
B.A.Berg, U.M. Heller, H. Markum, R. Pullirsch, W. Sakuler
Space-Time Correlations between Topological and Fermionic Densities in Compact QED
To investigate the origin of the zero-modes of the overlap-Dirac operator in quenched compact QED we factorize the gauge configurations into monopole and photon fields. We find that the zero-modes lie solely in the monopole part of the gauge field and are completely absent in the photonic field. We pose the question of the existence of local correlations between the topological charge density and the monopole density. We are calculating spatial correlations with the wave functions related to fixed zero-mode number.
poster Topology and confinement  
 
248 Rakow, Paul rakow@ifh.de top
P.E.L. Rakow
Separating perturbative and non-perturbative contributions to the plaquette
There is a long history of trying to extract a non-perturbative gluon condensate from lattice calculations of the plaquette. Thanks to the work of Di Renzo at al. we have a much longer perturbation series for the plaquette than for any other lattice quantity. On the other hand, the plaquette is one of the most ultra-violet dominated quantities, which means that any non-perturbative contribution is likely to be very small compared with the perturbative part. We look at the large-n asymptotic behaviour of the perturbation series in order to estimate the order at which renormalon behaviour sets in, and to estimate the contribution of the as-yet unmeasured terms in the series. We compare tadpole improvement with other methods of accelerating the convergence of the series. Finally we reexamine the reported Lambda^2 contribution to the gluon condensate and attempt to determine the conventional Lambda^4 condensate.
parallel talk Topics in gauge theories   1
249 Rebbi, Claudio rebbi@bu.edu top
L. Giusti, C. Hoelbling, C. Rebbi
First results from quenched QCD simulations with overlap fermions.
We present results for meson masses and decay constants obtained in quenched QCD with overlap fermions. We also discuss possible approximation techniques for the evaluation of the Dirac-Neuberger operator.
parallel talk QCD spectrum and quark masses   3
250 Reinhardt, Hugo h.reinhardt@uni-tuebingen.de top
K. Langfeld, H. Reinhardt, J. Gattnar
Manifestation of Confinement in the Gluon Propagator
The gluon propagator of Su(2) Yang-Mills theory (YMT) is evaluated on the lattice in Landau gauge and in maximal center gauge (MCG). In both gauges the effect of center vortices on the gluon propagators is investigated. We find drastic changes when the confining center vortices are removed. The resulting gluon propagators are discussed in the context of the Kugo-Ojima confinement criterion and compared with the gluon propagator resulting from solving the gluon and ghost Schwinger-Dyson equations in continuum Yang-Mills theory.
parallel talk Topology and confinement   7
251 Reyes, Juan Juan.Reyes@uv.es top
D. Becirevic, V. Gimenez, G. Martinelli and J. Reyes
Combined Relativistic and static analysis for all \Delta B=2 operators at NLO.
The b quarks are too heavy to be simulated on current lattices. One strategy adopted in this situation is to perform simulations with quark masses around the charm mass and then extrapolate to the physical b quark mass. We perform a combined analysis of APE relativistic data in the charm region and previous static results by matching all the dimension six \Delta B=2 operators in QCD with those in HQET at NLO order. The matrix elements of these operators are relevant for the prediction of the B-\bar B mixing, Bs meson width difference and supersymmetric effects in \Delta B=2 transitions. To do that we have to include the anomalous dimension matrix up to two loops, both in QCD and HQET, and the one loop matching for all the \Delta B=2 operators.
parallel talk Heavy quark physics   4
252 Rolf, Juri rolf@physik.hu-berlin.de top
Juri Rolf, Stefan Sint
Computation of the charm quark's mass in quenched QCD
We determine the renormalization group invariant quark mass corresponding to the sum of the strange and the charm quark mass in the quenched approximation , using as essential input the mass of the D_s-meson. Since lattice artifacts turn out to be rather large we use O(a) improvement and take the continuum limit in the end.
parallel talk QCD spectrum and quark masses   3
253 Rossi, Giancarlo gc.rossi@cern.ch top
L. Giusti, G.C. Rossi, M. Testa, G. Veneziano
The $U_A(1)$ Problem on the Lattice
In this talk I will show how it is possible to give a precise and unambiguous implementation of the Witten--Veneziano formula for the $\eta'$ mass in any regularized formulation of QCD. In general, counter-terms must be subtracted from the naive expression of the topological susceptibility. In the chiral limit their expression is fixed by anomalous flavour-singlet Ward--Takahashi identities, but depends on the particular regularization chosen for the fermions. No subtraction is needed for regularizations that satisfy the Ginsparg--Wilson relation. By using recent numerical results from simulations with overlap fermions in 2 (abelian Schwinger model) and 4 (QCD) dimensions, one obtains values for the mass of the lightest pseudo-scalar flavour-singlet state that agree within errors with theoretical expectations and experimental data, respectively.
parallel talk Theoretical developments   1
254 Rossi, Paolo Paolo.Rossi@df.unipi.it top
Luigi Del Debbio, Haralambos Panagopoulos, Paolo Rossi And Ettore Vicari
k-string tensions in SU(N) gauge theories
In the context of SU(N) gauge theories we study the spectrum of the string tensions associated with different representations of the SU(N) group. We compute, for the 4d SU(6) gauge theory, the three independent string tensions in the k-rank antisymmetric representations using MC simulations in the Wilson lattice formulation. Our results support the sine formula for the ratio between the string tensions in the different representations, within an uncertainty of less than 2% for k=2 and 5% for k=3. The same formula has been derived in various realizations of SUSY SU(N) gauge theories. On the other hand our results do not support the hypothesis of Casimir scaling. We also comment on an analog behavior shown by the 2d SU(N)XSU(N) chiral models.
parallel talk Topology and confinement   5
255 Ryan, Sinead ryan@maths.tcd.ie top
Sinead Ryan
Heavy quark physics from lattice QCD
[plenary talk]
plenary talk  
 
256 Saito, Takuya tsaito@hiroshima-u.ac.jp top
T.Saito, A.Nakamura and S.Sakai
Heavy quarks on the anisotropic lattice
We compute the binding energies of the heavy quark system on the anisotropic lattice. We study dependence of the inconsistency for the binding energy reported by Collins et al.(hep-lat/9512026) and A.S.Kronfeld(hep-lat/9608139) on the anisotropy parameter $\xi$.
poster Heavy quark physics  
257 Sakai, Sunao eg110@kdeve.kj.yamagata-u.ac.jp top
S. Sakai, A. Nakamura and T. Saito
Anisotropic Lattice and Its Application to Quark Gluon Plasma
In the first parts of our poster, the effects of the self-energy term of the lattice potential on the anisotropy parameter is studied. It is found to be about 1% in the present range of beta and anisotropy. Then the anisotropy parameters are calculated in the smaller beta region by applying the Link integration method. It is found that it increases as beta becomes small for all improved actions studied in this work. In the latter part of our poster, we apply the anisotropic lattice to the calculation of the transport Coefficients of Quark Gluon Plasma. The preliminary results will be presented.
poster Non-zero temperature and density  
258 Sasaki, Shoichi ssasaki@phys.s.u-tokyo.ac.jp top
S.Sasaki, T.Blum and S.Ohta
Nucleon axial charge from quenched lattice QCD with domain wall fermions and improved gauge action
In our previous DWF calculation with Wilson gauge action at $\beta=6.0$ ($a^{-1}\simeq 1.9$ GeV) on a $16^3 \times 32 \times 16$ lattice, we found $G_A/G_V$ in the continuum limit had a fairly strong dependence on the quark mass. A simple linear extrapolation of $G_A$ to the chiral limit yielded a value that was a factor of two smaller than the experimental one. Here we report our recent study of this issue. In particular, we investigate possible errors arising from finite lattice volume, especially in the lighter quark mass region. We employ an RG-improved gauge action (DBW2) with ($a^{-1}=1.23$ GeV). We also investigate other possible sources of systematic errors such as quenching effects (for example quenched chiral logarithms, zero modes) through the axial Ward-Takahashi identity that governs $G_A$.
parallel talk Hadronic matrix elements   1
259 Schaefer, Stefan stefan.schaefer@physik.uni-regensburg.de top
C. Gattringer, M. Goeckeler, C.B. Lang, P.E.L. Rakow, S. Schaefer and A. Schaefer
A lattice study of the mechanism for chiral symmetry breaking
We analyze spectra and localization properties of eigenvectors of the lattice Dirac operator as well as the local chirality of the near zero modes. We use two kinds of Dirac operators, the overlap operator and an approximate solution of the Ginsparg-Wilson equation. We study quenched ensembles generated at three different values of the gauge coupling and in addition perform an analysis of the volume dependence. Our observables support the mechanism for chiral symmetry breaking based on instantons.
poster Topology and confinement  
260 Schierholz, Gerrit Gerrit.Schierholz@desy.de top
G. Schierholz, for QCDSF and UKQCD
Determination of the Lambda Parameter from quenched and N_f=2 dynamical QCD
The scale parameter $\Lambda$ is computed on the lattice in the quenched approximation and for $N_f=2$ flavors of light dynamical quarks. The dynamical calculation is done with non-perturbatively $O(a)$ improved Wilson fermions.
parallel talk Hadronic matrix elements   2
261 Schiller, Arwed schiller@itp.uni-leipzig.de top
M.N. Chernodub, E.-M. Ilgenfritz, A. Schiller
Monopoles, confinement and deconfinement in lattice compact QED in $2+1 D$ with external fields
We study the deconfinement phase transition and its relation to monopole properties in a lattice $3 D$ compact Abelian gauge model at $T>0$. Using a cluster analysis to separate single monopoles in vacuum from dipoles, we find the string tension to be in good agreement with semiclassical estimates based on the monopole density. In the deconfinement phase monopoles form a dilute gas of magnetic dipoles. Opposite to $3+1 D$ non-Abelian theory, external fields do not affect the confinement-deconfinement phase transition temperature but change the monopole content by creating additional dipoles from the vacuum. Contrary to the deconfinement phase, the non-vanishing internal field parallel to the external field is attenuated in the confinement phase. This screening becomes stronger with decreasing temperature.
poster Topology and confinement  
262 Schilling, Klaus schillin@theorie.physik.uni-wuppertal.de top
H. Neff, N. Eicker, Th. Lippert, J.N. Negele, and K. Schilling
A new approach to eta´ on the lattice
We demonstrate the viability of spectral approximations to ``disconnected´´ quark loops, as they appear e.g. in the hairpin diagram of the eta´ propagator. We show that the eta´-mass analysis can be substantially improved by ground state projecting the connected piece of its propagator.
parallel talk QCD spectrum and quark masses   2
263 Schlittgen, Boris bozza@math.mit.edu top
Boris Schlittgen
The Low-Energy Effective Theory of the Quantum Link Model
The quantum link model provides an unconventional regularisation of gauge theory in which classical fields arise via dimensional reduction of discrete variables. This D-theory regularisation leads to the same continuum theory as the conventional approach. We show this by deriving the low-energy effective Lagrangian of the quantum link model using coherent state path integral techniques.
parallel talk Theoretical developments   2
264 Schmidt, Christian schmidt@physik.uni-bielefeld.de top
F. Karsch, E. Laermann and Ch. Schmidt
Universality at the chiral critical point of 3-flavour QCD
We analyze the critical behaviour of 3-flavour QCD in the vicinity of the chiral critical point, i.e. the second order endpoint of a line of first order phase transitions. In order to find a mapping between 3-flavour QCD and the 3d Ising model we introduce linear combinations of the gluonic action and the chiral condensate. We consider these linear combinations as an approximation for the correct ordering-field as well as energy-like operators and discuss their fourth order cumulant and joint histogram for several mixing and mass parameters. Our results yield a location of the chiral critical point and supply evidence that for three flavours this point belongs to the universality class of the 3d Ising model. Using standard and improved staggered fermion actions we discuss the cut-off dependence of the critical point.
parallel talk Non-zero temperature and density   1
265 Schroers, Wolfram Wolfram.Schroers@Feldtheorie.de top
et al
The Quest for Light Fermions: Algorithms for the Future
Results from a comparative study between multiboson algorithms and the widely-used HMC are presented. The tuning and optimization of multiboson algorithms are reviewed and the perspectives for future simulations are discussed. Requirements for future implementation systems are listed.
parallel talk Algorithms and machines   3
266 Schröder, York york.schroder@helsinki.fi top
Y. Schröder (work in collaboration with K.Kajantie, M.Laine, K.Rummukainen)
Resumming long-distance contributions to the QCD pressure
The pressure (or free energy) of QCD is a most fundamental quantity, studied intensively with a variety of approaches. Lattice data is available at zero baryon density up to a few times the critical temperature $T_c$. Perturbation theory, even at very high temperatures, has serious convergence problems. Using a combined analytical and 3d lattice MC method, we show that it is possible to compute the QCD pressure from about $2 T_c$ to infinity in a well-defined framework.
parallel talk Non-zero temperature and density   7
267 Schulze, Thomas tschulze@physik.uni-bielefeld.de top
J. Engels, S.Holtmann, T. Mendes, T.Schulze
Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD
We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different ways. We find that the asymptotic form of the finite-size-scaling functions is already reached at small values of the scaling variable. A comparison with QCD lattice data for two flavours of staggered fermions shows a similar finite-size behaviour which is compatible with that of the spin models.
parallel talk Non-zero temperature and density   1
268 Scimia, Roberto roberto.scimia@marconi.com top
G. Di Carlo, F. Palumbo, R. Scimia
Larger physical volume with a noncompact lattice regularization
We reconsider a noncompact regularization of gauge theories on a lattice where exact gauge invariance is enforced by means of auxiliary fields. This regularization was shown to give perturbative and numerical results in agreement with the Wilson theory. In its original formulation the theory was directly applicable only for the SU(2) gauge group. We performed a Monte Carlo simulation and obtained a physical volume larger than in Wilson regularization. We then extended the theory to the SU(n) case for arbitrary n in the hope of getting more reliable results in the physically interesting SU(3) case.
parallel talk Improvement and renormalization   4
269 Scorzato, Luigi L.Scorzato@swansea.ac.uk top
Simon Hands, Istvan Montvay, Luigi Scorzato, Jonivar Skullerud
Diquark condensation in dense SU2 matter
We report on a lattice study of two-colour QCD with adjoint staggered fermions at high density. We find that the model has no early onset and we report on results for diquark condensation, from simulations with and without a diquark source term. We also comment on a preliminary study of two-colour QCD with two flavours of fundamental Wilson fermions.
parallel talk Non-zero temperature and density   3
270 Seefeld, Bernhard seefeld@itp.unibe.ch top
M. Hasenbusch, P. Hasenfratz, F. Niedermayer, B. Seefeld, U. Wolff
Nonstandard Cutoff Effects in the Nonlinear Sigma Model
High precision measurements of the L\"uscher-Weisz-Wolff running coupling $\bar{g} = L \cdot M(L)$ and the renormalized coupling at zero-momentum $g_R$ performed with various lattice actions in the non-perturbative region confirm the earlier observations, that the cutoff effects look linear, in contrast to perturbative calculations. The use of different actions allows one to make a more reliable estimate on the continuum limit without explicit assumptions on the functional form of the lattice artifacts. The measurements were done for infinite volume correlation length up to 350.
parallel talk Spin models   2
271 Sharpe, Stephen sharpe@phys.washington.edu top
Stephen Sharpe
On-shell improved operators using unimproved correlators
Recently, a method for O(a) improvement of composite operators has been proposed which uses the large momentum behavior of fixed gauge quark and gluon correlation functions (G. Martinelli et al, hep-lat/0106003). A practical problem with this method is that a particular improvement coefficient, c_NGI, which has a gauge non-covariant form, is difficult to determine. Here we argue that, with an appropriate choice of improvement conditions, one can determine all the physical, on-shell improvement coefficients for bilinear operators, despite not knowing the correct value of c_NGI.
parallel talk Improvement and renormalization   4
272 Shifman, Mikhail shifman@physics.spa.umn.edu top
M. Shifman
Lessons from supersymmetry for QCD
Recently a few intriguing developments took place in supersymmetric gauge theories. It was argued that N vacua (N is the number of colors) of supersymmetric gluodynamics survive in the large N Yang-Mills theory (non-SUSY) in the form of quasistable states, with exponentially large life-times. In another development, supersymmetric gluodynamics was deformed (orbifolded) to produce a nonsupersymmetric descendant in such a way that certain miraculous degeneracies of SUSY are preserved. It is interesting to see whether these novel ideas can be tested on lattices.
plenary talk  
273 SHOJI, Fumiyoshi shoji@riise.hiroshima-u.ac.jp top
F.Shoji
Stochastic gauge fixing and gauge ambiguity
We have reported new gauge fixing method for Abelian projection which is based on stochastic gauge fixing. In this method, it is expect that the global maximum is chosen on the gauge trajectory. In order to investigate the effectiveness to avoid Gribov copy, we compare our method with several methods with respect to the string tension in SU(2)QCD.
poster Topology and confinement  
274 Simma, Hubert simma@ifh.de top
H. Simma for the APE collaboration
APEmille Parallel Computers
We report on the progress and status of the installations of large APEmille systems at various European research institutions. Experiences with the operation of the machines in physics production runs and a summary of the results is presented.
poster Algorithms and machines  
275 Simone, James simone@fnal.gov top
J.N. Simone, S. Hashimoto, A.X. El-Khadra, A.S. Kronfeld, P.B. Mackenzie and S.M. Ryan
The \BtoDstar\ Form Factor at Zero Recoil and the Determination of \Vcb
We update Fermilab's calculation of the zero-recoil form factor, $F_{B\to D^*}(1)$, in \BtoDstar\ decays. In principle, our approach leads to a model independent determination of the $\mathcal{O}(1/m_Q^2)$ difference between $F_{B\to D^*}(1)$ and the form factor in the $m_b,m_c\to\infty$ limit. A model independent determination of the form factor promises to reduce the uncertainties in the extraction \Vcb\ which presently arise from quark model estimates of the $\mathcal{O}(1/m_Q^2)$ effects.
parallel talk Heavy quark physics   4
276 Sinclair, Donald dks@hep.anl.gov top
D.K.Sinclair, J.B.Kogut
Models at finite density and temperature.
We are simulating 2-colour QCD at finite quark-number chemical potential and temperature, and true 3-colour QCD at finite isospin chemical potential, strangeness chemical potential and temperature. Particular emphasis is placed on the condensates formed and the accompanying Goldstone bosons.
parallel talk Non-zero temperature and density   3
277 Sint, Stefan stefan.sint@cern.ch top
R. Frezzotti, S. Sint, P. Weisz
O(a) improved twisted mass lattice QCD
Lattice QCD with Wilson quarks and a chirally twisted mass term (tmQCD) represents an alternative regularization of QCD, which has been designed to eliminate unphysical fermion zero modes. Moreover, tmQCD allows to bypass certain lattice renormalization problems, and O(a) improvement can be applied in a straightforward manner. The structure of the O(a) improved theory is relatively simple and offers practical advantages over the standard framework, in particular concerning dynamical fermion simulations of QCD with two quark flavours.
parallel talk Improvement and renormalization   3
278 skullerud, jonivar jonivar@mail.desy.de top
J.Skullerud, A.G.Williams
The quark-gluon vertex in two momentum subtraction schemes
We compute the quark-gluon vertex in quenched QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The running coupling is calculated in two different ("symmetric" and "asymmetric") momentum subtraction schemes.
poster Improvement and renormalization  
279 So, Hiroto so@muse.hep.sc.niigata-u.ac.jp top
K.Itoh, M.Kato, H.So, H.Sawanaka and N.Ukita
Super Yang-Mills Theory on Lattice and the Transformation
We propose new approach to super Yang-Mills Theory on lattice using 1-dimensional reduced models.
parallel talk Higgs Yukawa SUSY theories   1
280 Sodano, Pasquale pasquale.sodano@pg.infn.it top
M.C.Diamantini, D. Marzoli, P.Sodano
Strongly Coupled Massive QCD3 on the Lattice.
Strongly coupled massive U(Nc) QED3 on a lattice is investigated using the 1/Nc expansion. We show that- for arbitrary number of fermion flavors Nf- the use of the strong coupling expansion yields a frustrated Heisenberg antiferromagnet as an effective model. For low Nf there are two phases exhibiting either Neel order or chiral spin order. For large Nf, with Nf/Nc of order 1, we evidence the disappearance of Neel order at a critical Nf. The relationship of this lattice model with Non Abelian Chern- Simons theory coupled with fermionic matter is discussed.
parallel talk Spin models   1
281 Sommer, Rainer Rainer.Sommer@desy.de top
Jochen Heitger and Rainer Sommer
A strategy to compute the b-quark mass with non-perturbative accuracy
We describe a strategy to compute the b-quark mass to leading order in the Heavy Quark Effective Theory. The approach is fully non-perturbative. In particular it does not involve a perturbative subtraction of power law divergencies and the continuum limit may be taken. First numerical results in the quenched approximation demonstrate the potential of the method. In principle, the idea, based on non-perturbative matching in finite volume, may also be applied to the matching of composite operators or to Heavy Quark Effective Theory beyond the leading order.
parallel talk Heavy quark physics   1
282 soni, amarjit soni@bnl.gov top
Amarjit Soni (RBC Collaboration)
K to 2pi: Some implications of reported results and strategy for the immediate future.
First lattice calculations using Domain Wall Quarks, in conjunction with lowest order chiral perturbation theory, have addressed the long standing issues pertaining to non-leptonic K decays. I will discuss some implications of these calculations and a rationale for chalking out strategy that should be followed bearing in mind existing proposals on K to 2 pi.
poster Hadronic matrix elements  
283 Stamatescu, Ion-Olimpiu stamates@thphys.uni-heidelberg.de top
G.Aarts, O.Kaczmarek, F.Karsch, I.-O.Stamatescu
First order inverse mass corrections to quenched QCD at non-zero chemical potential
We proceed from the formulation of quenched QCD at non-zero chemical potential realized as the double limit of large quark masses - large chemical potential. We perform simulations introducing first order (kappa squared) corrections to the above limit, to disentangle mass and chemical potential dependence. The sign problem is improved upon by using the center dependence of Polyakov loops. Results concerning the phase structure in the vicinity of the quenched limit with non-zero chemical potential at low and high temperatures are presented.
parallel talk Non-zero temperature and density   4
284 Stephanov, Misha misha@uic.edu top
Novel Phenomena in Dense QCD
New high density QCD phenomena will be described: asymptotic color deconfinement and metastable domain walls. Similar phenomena in isospin dense QCD could be studied on the lattice.
parallel talk Non-zero temperature and density   3
285 Streuer, Thomas streuer@theorie.physik.uni-muenchen.de top
Thomas Streuer
Monopoles in full QCD
We study the dynamics of monopoles in the maximally abelian gauge in quenched and N_f=2 dynamical QCD using O(a) improved Wilson fermions. Significant differences between the quenched and the full theory are observed.
parallel talk Topology and confinement   8
286 Suganuma, Hideo suganuma@th.phys.titech.ac.jp top
Hideo Suganuma, Hiroko Ichie, Noriyoshi Ishii, Kazuhisa Amemiya
Strong Randomness of Off-diagonal Gluon Phases and Off-diagonal Gluon Mass in the MA Gauge in QCD
We study Confinement Physics using lattice QCD. In the maximally abelian (MA) gauge, the off-diagonal gluon amplitude is strongly suppressed, and then the off-diagonal gluon phase shows strong randomness, which leads to a large effective off-diagonal gluon mass, $M_{\rm off} \simeq 1.2 {\rm GeV}$. Due to the large off-diagonal gluon mass in the MA gauge, infrared QCD is abelianized like nonabelian Higgs theories. In the MA gauge, there appears a macroscopic network of the monopole world-line covering the whole system. From the monopole current, we extract the dual gluon field $B_\mu$, and examine the longitudinal magnetic screening. We obtain $m_B \simeq$ 0.5 GeV in the infrared region, which indicates the dual Higgs mechanism by monopole condensation. From infrared abelian dominance and infrared monopole condensation, low-energy QCD in the MA gauge is described with the dual Ginzburg-Landau (DGL) theory.
parallel talk Topology and confinement   8
287 Suzuki, Tsuneo suzuki@hep.s.kanazawa-u.ac.jp top
Tsuneo Suzuki Inst.Theor.Phys., Kanazawa Univ.,Japan
Topics on monopole dynamics in gluodynamics
Three topics on monopole dynamics in gluodynamics are presented. 1)Monopole effective action in the Laplacian gauge (S.Ito, T.W.Park, T.Suzuki): Monopole effective action in the Laplacian gauge is determined using an inverse MC method. Comparison with the MA gauge case is discussed. 2)The quantized dual abelian Higgs model derived from SU(2) gluodynamics and its vacuum structure (Y.Koma, E.-M.Ilgenfritz, M.I.Polikarpov, T.Suzuki): The dual abelian Higgs model (DAH) is derived numerically from SU(2) lattice gluodynamics. The color-electric flux-tube profile and the string tension are reproduced using MC simulations in the framework of DAH. 3)Lattice instanton action from 3D SU(2) Georgi-Glashow model (T.Yazawa, T.Suzuki): We study 3D Geogi-Glashow model on the lattice in London limit in an infrared region. After performing abelian projections in a unitary gauge and in a maximally abelian gauge, abelian and instanton dominances are observed and an effective instanton action is determined. We obtain an almost perfect instanton action for some regions of parameters in both gauges.
poster Topology and confinement  
288 Söldner, Wolfgang Wolfgang.Soeldner@physik.uni-regensburg.de top
M. Göckeler, P.E.L. Rakow, A. Schäfer, W. Söldner, T. Wettig
Lattice QCD at finite temperature: evidence for calorons from the eigenvectors of the Dirac operator
We analyze the eigenvalues and eigenvectors of the staggered Dirac operator in quenched lattice QCD in the vicinity of the deconfinement phase transition. The spectral and localization properties of the low lying eigenmodes show characteristic differences between the Z_3 sectors above the critical temperature T_c. These findings can be interpreted in terms of calorons.
parallel talk Non-zero temperature and density   6
 
289 Takaishi, Tetsuya tt-taka@hue.ac.jp top
Tetsuya Takaishi
Generalized ensemble algorithm for U(1) gauge theory
Simulations of U(1) gauge theory near phase transition is difficult due to the appearance of metastable states. We use Tsallis weight instead of usual Boltzmann weight for the hybrid Monte Carlo and investigate whether we can overcome the difficulty.
poster Algorithms and machines  
290 Taniguchi, Yusuke tanigchi@het.ph.tsukuba.ac.jp top
CP-PACS Collaboration : S.Aoki, Y.Aoki, R.Burkhalter, S.Ejiri, M.Fukugita, S.Hashimoto, N.Ishizuka, Y.Iwasaki,T.Izubuchi, K.Kanaya, T.Kaneko, Y.Kuramashi, K.I.Nagai, V.Lesk, M.Okawa, Y.Taniguchi, A.Ukawa and T.Yoshi\'e
Chiral property of domain-wall fermion from eigenvalue of 4D Wilson fermion Hamiltonian
We investigate the chiral property of domain-wall fermion (DWF) from eigenvalues of the four dimensional Wilson fermion Hamiltonian. We discuss a formula which connects the residual mass $m_{5q}$ in the axial WT identity of DWF with eigenvalues of the 4D Wilson fermion Hamiltonian. This formula is tested for the DWF system with standard plaquette gauge action and renormalization group improved guge action at both strong and weak coupling region corresponding to the lattice spacing $a^{-1}\sim$ 1GeV and 2GeV. We study the behavior of the residual mass $m_{5q}$ at large fifth dimensional length through the eigenvalues. The question if chiral symmetry is realized in DWF for standard and improved action at strong and weak coupling region is discussed.
parallel talk Chiral fermions and gauge theories   1
291 Thacker, H. B. hbt8r@virginia.edu top
H. Thacker, W. Bardeen, A. Duncan, E. Eichten, N. Isgur
Quenched Chiral Loop Effects in the Scalar Propagator
The scalar, isovector meson propagator is analyzed in quenched QCD. In addition to the expected short-range falloff characteristic of a heavy scalar meson, the propagator also exhibits a longer-range negative metric contribution which becomes pronounced for smaller quark masses. We show that this is a quenched chiral loop effect associated with the anomalous structure of the $\eta'$ propagator in quenched QCD.
parallel talk QCD spectrum and quark masses   4
292 Tomboulis, Terry E. tombouli@physics.ucla.edu top
T. Kovacs and T. Tomboulis
Twist eating and vortex gas
We present estimates of free-energies with or without vortex-introducing twists by analytical variational, bond-moving decimation, and numerical methods. They give insight into the vortex picture of confinement, and the association or tagging of thick vortices by thin vortices as in gauge-fixing and center projection methods.
parallel talk Topology and confinement   7
293 Toussaint, Doug doug@physics.arizona.edu top
Doug Toussaint
Spectrum results with Kogut-Susskind quarks
[plenary talk]
plenary talk  
294 Tripiccione, Raffaele tripiccione@pi.infn.it top
Raffaele Tripiccione
Status of APE
[QCD machine report]
plenary talk  
295 Tsutsui, Naoto naoto.tsutsui@kek.jp top
JLQCD collaboration: S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, T.~Yoshi\'{e}
Heavy quark expansion parameters from lattice NRQCD
Using the lattice NRQCD action for heavy quark, we calculate the heavy quark expansion parameters $\mu_{\pi}^2$ and $\mu_G^2$ for heavy-light mesons and heavy-light-light baryons, which appear in the heavy quark expansions of inclusive decay rates of $b$ hadrons. The results are compared with the HQET relations for mass differences among heavy hadrons.
parallel talk Heavy quark physics   3
296 Tucker, William wwtucker@uiuc.edu top
William Tucker
The Maximum Abelian Gauge in SU(3)
Investigating Abelian and center dominance becomes more complicated when an SU(3) (as opposed to an SU(2)) gauge theory is involved. We gauge fix SU(3) configurations to the maximum Abelian gauge. We then project to get a U(1)XU(1) field. We find the potential V(R) from the U(1)XU(1). We then find the corresponding monopole distribution and calculate V(R) from this. We also perform an additional gauge fixing to the "indirect" maximum center gauge and calculate V(R) from the resulting vortices. All of these results are compared with the full SU(3) potential.
poster Topology and confinement  
 
297 Ukawa, Akira ukawa@rccp.tsukuba.ac.jp top
Akira Ukawa
Cost of dynamical quark simulations
[Panel statement]
plenary talk  
298 UMEDA, TAKASHI tumeda@rccp.tsukuba.ac.jp top
H.~Matsufuru, T.~Onogi, T.~Umeda
$O(a)$ improved Wilson quark action on anisotropic lattice
The $O(a)$ improved Wilson quark action on the anisotropic lattice is investigated. We carry out numerical simulation in the quenched approximation, at three values of lattice spacing with the anisotropy $xi={a_\sigma}/{a_\tau}=4$, where $a_\sigma$ and $a_\tau$ are the spatial and the temporal lattice spacings, respectively. The renormalized anisotoropy is determined with the dispersion relation of mesons in the light quark region as well as around the charm quark mass. We discuss the systematic uncertainty due to the anisotropy and its effect on the light hadron spectrum.
parallel talk Improvement and renormalization   3
 
299 van Baal, Pierre vanbaal@lorentz.leidenuniv.nl top
Pierre van Baal
Abelian projected monopoles: to be or not to be
The constituent monopoles that appear in the SU(3) caloron solution are studied by abelian projection through the Polyakov loop gauge. It follows that sometimes there are abelian projected monopoles, required by the non-trivial topology, that are not related to the actual constituent monopeles.
parallel talk Topology and confinement   7
300 Veselov, Alexander veselov@heron.itep.ru top
E.-M. Ilgenfritz$^a$,B.V. Martemyanov$^b$,M. M\"uller-Preussker$^c$\\ and A. I. Veselov$^b$\\ $^a$ Institute of Theoretical Physics,\\ University of T\"ubingen, D-72076 T\"ubingen, Germany\\ $^b$ Institute for Theoretical and Experimental Physics
Classical solutions with nontrivial holonomy boundary conditions in $SU(2)$ lattice gauge theory at $T \ne 0$
We simulate $SU(2)$ lattice gauge fields at finite temperature with fixed holonomy values at the spatial boundary. We use standard cooling procedure to analyse the topological content. Different types of classical solutions with these boundary conditions are discovered: calorons composed from two half-integer topological charges (dyons) ($DD$) and objects composed from half-integer topological charges of opposite sign ($D\bar D$).We try to understand the structure of the thermal vacuum at $T < T_{deconf}$ in terms of these objects.
poster Topology and confinement  
301 Vink, Jeroen jcvink@science.uva.nl top
J.C.Vink (with J. Smit and M. Salle)
Simulating Quantum Fields after a Quench
We investigate (quantum) field dynamics after a sudden transition from the high temperature symmetric phase to a low temperature broken phase, a so-called quench. Before the quench the system is taken to be in its ground state. After the quench, the vacuum fluctuations augmented by the spinodal instability, develop into kink-like inhomogeneities. We discuss a new approach to supply the vacuum quantum fluctuations as initial conditions for subsequent classical field dynamics and compare it with the scheme used until now. Furthermore we use the recently developed Hartree ensemble method to simulate the quantum field dynamics after the quench.
parallel talk Non-zero temperature and density   7
302 Vranas, Pavlos vranasp@us.ibm.com top
George Fleming and Pavlos Vranas
Staggered domain wall fermions, Part II
We present analytic results for free staggered domain wall fermions. We discuss the introduction of gauge fields and present numerical results for some simple interacting models.
poster Chiral fermions and gauge theories  
 
303 Weigel, Martin weigel@itp.uni-leipzig.de top
M. Weigel and W. Janke
Vertex Models on Random Graphs
A lattice discretization of the path-integral approach to the quantization of 2D gravity leads to the summation over so-called combinatorial triangulations resp. ``quadrangulations'', the dual lattices of which correspond to three-valent or four-valent planar random graphs, respectively. The ensemble of these graphs has a fractal structure with non-trivial Hausdorff dimension, which -- depending on the strength of the coupling between matter and gravitating space-time -- occasionally collapses into a set of minimally interacting subsystems, so-called ``baby universes''. These triangulations, however, naturally describe only the Euclidean sector of the theory, the possibility of a proper Wick-rotation back to the Lorentzian sector being unclear. As an approach in this direction, we consider vertex models coupled to $\phi^4$ gravity graphs as a means of a local distinction of time and space coordinates. Since an exact solution of this model is only partially possible, we investigate the problem via a Monte-Carlo simulation of the coupled system. A class of ergodic updates for four-valent random graphs is proposed in the spirit of the Pachner moves. For the vertex model part we use the loop algorithm, a non-local algorithm of the cluster-update type. In terms of statistical physics, the coupled system constitutes a model of annealed disorder with a rich phase structure. We present first results of the phase diagram of such a model and consider the possibility of ani nterpretation in terms of Lorentzian quantum gravity.
poster Quantum gravity and random surfaces  
304 Wenger, Urs wenger@thphys.ox.ac.uk top
UKQCD Collaboration: A. Borici, A.D. Kennedy, B. Pendleton, U. Wenger
The overlap Dirac operator as a continued fraction
We examine some properties of five dimensional formulations of the overlap Dirac operator using a continued fraction expansion. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method. In addition, the equivalence class of a given continued fraction can be used to reduce the condition number of the resulting five dimensional linear system by two orders of magnitude. The method is illustrated on quenched gauge field configurations at \beta=5.9.
parallel talk Chiral fermions and gauge theories   3
305 Wettig, Tilo tilo.wettig@yale.edu top
Tilo Wettig for the QCDOC collaboration
The QCDOC project
An overview is given of the QCDOC architecture, a massively parallel computer optimized for lattice QCD using system-on-a-chip technology. The heart of a single node is the PowerPC-based QCDOC ASIC, developed in collaboration with IBM Research. We describe in some detail the design of this ASIC, including the nearest-neighbor communications unit, as well as several of the hard- and software features unique to the QCDOC project.
poster Algorithms and machines  
306 Wetzorke, Ines wetzorke@physik.uni-bielefeld.de top
F. Karsch, E. Laermann, P. Petreczky, S. Stickan and I. Wetzorke
Meson Spectral Functions at Finite Temperature
We present first results for meson spectral functions at several temperatures below and above T_c. The correlation functions were obtained from quenched calculations with Clover fermions on large isotropic lattices of the size (24-64)^3 x 16. The Maximum Entropy Method provides a Bayesian approach to reconstruct the spectral functions from discrete points in Euclidean time. We compare the resulting pole masses with the ones obtained from standard 2-exponential fits of spatial and temporal correlation functions at finite temperature and in the vacuum. The deviation of the meson spectral functions from free spectral functions is examined above the critical temperature. Furthermore we study the influence of finite volume and cut-off effects on the correlation and spectral functions.
parallel talk Non-zero temperature and density   6
307 Wijewardhana, L.C.R.Wijewardhana rohana@physics.uc.edu top
V.Miransky,G. Semenoff, I.Shovkovy and L.C.R.Wijewardhana
Color Superconductivity in 2+1 dimensional Gauge Theories
We analyze 2+1 dimensional gauge field theories at high fermion densities. Such gauge theory models have served as theoretical laboratories for analyzing theoretical issues relevant to four dimensions. We see that QCD in 2+1 dimensions exhibit color superconductivity. We see that for large chemical potentials the fermion pairing dynamics de couple from the infra red dynamics of the model. We also discuss how this formalism could be used to study the properties of planer condensed matter systems.
parallel talk Non-zero temperature and density   7
308 Wilcox, Walter walter_wilcox@baylor.edu top
Walter Wilcox
Heatbath Inversion of Lattice Operators
The method of approximate inversion by heatbath, which can reduce Gaussian noise iterations by a factor of 2 to 3 compared to fully converged solutions, is studied for typical lattice operators.
parallel talk Algorithms and machines   2
309 Wilcox, Walter walter_wilcox@baylor.edu top
Ronald Morgan, Walter Wilcox
Deflated GMRES for Linear Equations in Lattice QCD
Restarted GMRES is a method that has been used for solving the large systems of linear equations associated with QCD problems. We investigate improving the convergence by using a version of GMRES that deflated eigenvalues. This deflation is accomplished by including approximate eigenvectors in the Krylov subspaces for GMRES. This approach is particularly effective when there are multiple right-hand sides, because the information generated in solving the first right-hand side can be efficiently used for the subsequent right-hand sides. For problems with small eigenvalues, the rate of convergence can be more than twice as fast.
poster Algorithms and machines  
310 Wingate, Matthew wingate.9@osu.edu top
Heavy-light physics using NRQCD-staggered actions
One leading source of uncertainty in the lattice computation of semi-leptonic form factors in B decay, and to a lesser extent B meson decay constants, comes from the extrapolation of the light quark mass to the physical up/down mass. This talk presents first explorations of simulating the light quark with improved staggered actions, which are free of the spurious zero modes that effect Wilson-like Dirac operators and are less costly. Methods for fitting to Euclidean-time NRQCD-staggered meson propagators are discussed, and some preliminary spectrum results are presented.
parallel talk Heavy quark physics   3
311 Wittig, Hartmut wittig@amtp.liv.ac.uk top
P. Hernandez, K. Jansen, L. Lellouch and H. Wittig
Non-perturbative renormalization of quark masses and the condensate for Ginsparg-Wilson fermions
We present a method to compute non-perturbatively the renormalization constant of the scalar density for Ginsparg-Wilson fermions. It is based on a matching of renormalization group invariant masses at fixed pseudoscalar meson mass, making use of previous results obtained by the ALPHA Collaboration for O(a)-improved Wilson fermions. Our approach allows for the renormalization of scalar and pseudoscalar densities in lattice regularizations that preserve chiral symmetry and of quark masses in any regularization. As an application we compute the non-perturbative factor which relates the renormalization group invariant quark condensate to its bare counterpart, obtained with overlap fermions in the quenched approximation.
parallel talk Improvement and renormalization   1
312 Wittig, Hartmut wittig@amtp.liv.ac.uk top
Hartmut Wittig
Cost of dynamical quark simulations
[Panel statement]
plenary talk  
313 Wolff, Ulli uwolff@physik.hu-berlin.de top
Achim Bode, Roberto Frezzotti, Bernd Gehrmann, Martin Hasenbusch, Jochen Heitger, Karl Jansen, Stefan Kurth, Juri Rolf, Hubert Simma, Stefan Sint, Rainer Sommer, Peter Weisz, Hartmut Wittig and Ulli Wolff
First results on the running coupling in QCD with two massless flavours
We report on the non-perturbative computation of the running coupling of two-flavour QCD in the Schr"odinger functional scheme. The corresponding Lambda-parameter, which describes the coupling strength at high energy, is related to a low energy scale which still remains to be connected to a hadronic ``experimentally'' observable quantity. We find the *non-perturbative* evolution of the coupling indispensable to avoid untolerable errors in the estimated Lambda-parameter.
parallel talk Improvement and renormalization   2
314 Wosiek, Jacek wosiek@th.if.uj.edu.pl top
P. Bialas and J. Wosiek
Towards the lattice study of M-theory (II)
Lattice discretization of the supersymmetric Yang-Mills quantum mechanics will be reviewed and the new results for D=4, N < 9, quenched system will be presented. The model, studied at finite temperature, reveals existence of the two distinct regions which may correspond to a black hole and elementary D0-branes phases of the M-theory conjectured in the literature. New results for higher gauge groups confirm this picture which was found earlier at N=2. Similar behaviour is observed in the preliminary simulations in D=6 and D=10 dimensions. The nature of the transition and its scaling with N is yet unresolved.
parallel talk Quantum gravity and random surfaces   1
 
315 Yaffe, Laurence yaffe@phys.washington.edu top
Laurence Yaffe
Real-time dynamics of hot gauge fields
[plenary talk]
plenary talk  
316 Yamada, Norikazu nyamada@suchi.kek.jp top
JLQCD collaboration: S. Aoki, R. Burkhalter, M. Fukugita, S. Hashimoto, K.-I. Ishikawa, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y. Kuramashi, M. Okawa, T. Onogi, S. Tominaga, N. Tsutsui, A. Ukawa, N. Yamada, T. Yoshie
B meson B-parameters with two-flavor dynamical QCD
We present a full QCD calculation of B meson B-parameters with NRQCD heavy quark and non-perturbatively O(a)-improved Wilson light quark at $\beta=5.2$ on a $20^3\times 40$ lattice. We also report on a calculation of the $B$ meson decay constant. Sea quark effects on both quantities are examined.
parallel talk Heavy quark physics   4
317 Yamaguchi, Azusa azusa@phys.columbia.edu top
A.Yamaguchi and Norman Christ
Finite Baryon Number Simulations in the Static Limit
We study finite temperture QCD with non-zero baryon number in the heavy quark limit, first investigated by Blum, Hetrick and Toussaint. In the simulations reported here we extend the work of those authors to larger volumes and lower baryon densities, examining both the character of the finite temperature phase transition and the increase in measurement errors with lattice volume.
parallel talk Non-zero temperature and density   4
318 Yamazaki, Takeshi yamazaki@het.ph.tsukuba.ac.jp top
CP-PACS Collaboration : S.~Aoki, R.~Burkhalter, M.~Fukugita, S.~Hashimoto, N.~Ishizuka, Y.~Iwasaki, K.~Kanaya, T.~Kaneko, Y.~Kuramashi, V.~Lesk, M.~Okawa, Y.~Taniguchi, A.~Ukawa, T.~Yamazaki, T.~Yoshi\'e
Maximum entropy analysis of hadron spectral funcions and excited states in quenched lattice QCD
We apply the Maximum Entropy Method (MEM) to extract the spectral functions of Pseudo-Scalar and Vector mesons from propagator data previously calculated at four different lattice spacings in quenched QCD with the Wilson quark action. We determine masses and decay constants for ground and excited states from position and area of peaks in the spectral functions. Taking the continuum limit, we obtain $m_{\pi_1} = 662(593)$ MeV and $m_{\rho_1} = 1540(570)$ MeV for the first excited state masses within quneched QCD. We also find unphysical states, which have infinite mass in the continuum limit, and argue that they are bound states of two doublers of the Wilson quark action. If valid, this will be the first time that the state of doublers has been identified in lattice QCD numerical simulations.
parallel talk QCD spectrum and quark masses   2
319 Ying, He-Ping hpying@cip-lx1.physik.uni-siegen.de top
H.P. Ying, J. Hu and L. Schuelke
Critical Dynamics of Random-bond Potts Model with Continuous Self-dual Disorders
We present Monte Carlo simulation results of random-bond Potts ferromagnet with the Continuous self-dual distribution of quenched disorders in two-dimensions [1]. By exploring the short-time scaling dynamics, we find universal power-law critical behavior of the magnetization and Binder cumulant at the critical point, and thus obtain estimates of the dynamic exponent $z$ and magnetic exponent $\eta$, as well as the exponent $\gth$. Our special attention is paid to the dynamic process for the $q$=8 Potts model following our previous work [2]. In detail we apply the STD approach [3] to the 2D RBPF with a continuous distribution of quenched disorders. Our simulations have verified that a second order phase transition has been induced. Then the universal dynamic scaling behavior in the short-time dynamics is used to estimate the exponents $\theta$ and $z$, as well the magnetic critical exponent $\eta$. It is found that they really violate the Ising-like universality class where $\theta=0.191(1)$ and $\eta=0.240(15)$ [4]. Our result of the dynamical exponent $z=3.41(6)$ is much bigger than that for systems without disorder, and it causes the microscopic time $t_{mic}$ to be extended up to one hundred for Binder cumulant from the ordered initial state. The value for the exponent $\eta$ nearly completely overlaps with all those obtained before, except that it is somewhat smaller (5\%) than that given in Ref.[1]. More accurate calculation remains to be done to solve this controversy. Our work is rather encouraging for the application of the short-time dynamic MC to simulate the scaling and critical dynamics of disordered spin systems. We will pursue this field in the future. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% References: [1] T. Olson and A. P. Young, Phys. Rev. B60, 3428(1999). [2] H.-P. Ying and K. Harada, Phys. Rev. E62, 174(2000). [3]B. Zheng, Int. J. Mod. Phys. B12, 1419(1998). [4]Z.B. Li, L. Schuelke, and B. Zheng, Phys. Rev. Lett. 74, 3396(1995); Phys. Rev. E53, 2940(1996).
poster Spin models  
320 Yurishchev (Iourichtchev), Mikhail yur@itp.ac.ru top
M.A.Yurishchev
Self-Duality and Systems without Scaling Terms at Criticality
It is argued that the self-duality of one system leads to the zero finite-size scaling amplitude of the critical internal energy for all isotropic models belonging to the same universality class. For such models, a condition of equality (up to corrections-to-scaling terms) of the internal energies for systems with different sizes can yield more accurate estimates for the critical temperature than a scaling equation for the inverse correlation lengths which is conventionally used in the phenomenological renormalization-group approach. Analytical and numerical evidences confirming the above supposition are done for the two-dimensional next-nearest-neighbour and spin-1 Ising models.
poster Spin models  
 
321 Zubkov, Mikhail naropa@orc.ru top
Polikarpov M.I. Veselov A.I. Zubkov M.A.
Electroweak theory: the theta - term instead of the scalar field.
We consider the SU(2)*U(1) lattice gauge model with the theta - term of the special type. We perform the numerical analysis and find the reasons to hope, that this theory is very close to the electroweak theory. The main feature of the model is the absence of the fundamental scalar field. The monopoles of the gauge theory play the role of the charged scalar particles.
parallel talk Topology and confinement   8
322 Zverev, Nikolai zverev@physik.hu-berlin.de top
I. Bogolubsky, V. Mitrjushkin, I. Montvay, M. Mueller-Preussker, N. Zverev
Performance Studies of the Two-Step Multiboson Algorithm in Compact Lattice QED
The performance of the Two-step Multiboson (TSMB) algorithm is investigated in comparison with the Hybrid Monte-Carlo (HMC) method for compact lattice QED with standard Wilson fermions both in the Coulomb and Confinement phases. The restriction to QED allows for extensive measurements of autocorrelation times. Preliminary results show that the TSMB algorithm is at least competitive with standard HMC.
parallel talk Algorithms and machines   1
323 Zwanziger, Daniel daniel.zwanziger top
Attilio Cucchieri and Daniel Zwanziger
Gribov's theory of confinement: exact results in minimal Coulomb gauge
In Gribov's scenario in Coulomb gauge, confinement of color charge is due to a long-range instantaneous color-Coulomb potential V(r), which is determined numerically from the instantaneous part of the gluon propagator D_{44,inst} = V(r)\delta(t). Confinement of gluons is reflected in the vanishing at k = 0 of the equal-time three-dimensionally transverse would-be physical gluon propagator D^{tr}(k). We present exact analytic results on D_{44} and D^{tr} (which have also been investigated numerically, A. Cucchieri, T. Mendes, and D. Zwanziger, this conference), in particular the vanishing of D^{tr}(k) at k = 0, and the determination of the running coupling constant from x_0g^2(k) = k^2 D_{44,inst}, where x_0 = 12N/(11N - 2N_f). We briefly indicate how these considerations extend to the Landau gauge, and how the Nielsen identities apply to gauges used in numerical gauge fixing.
parallel talk Topology and confinement   6
last modified: Thu Oct 18 16:43:31 2001 lattice2001@desy.de