id
large_stringlengths
9
16
title
large_stringlengths
1
382
abstract
large_stringlengths
3
6.09k
publish_date
date32
update_date
date32
categories
large listlengths
1
13
authors
large_stringlengths
3
62.8k
hep-lat/9210006
Basis States for Hamiltonian QCD with Dynamical Quarks
We discuss the construction of basis states for Hamiltonian QCD on the lattice, in particular states with dynamical quark pairs. We calculate the matrix elements of the operators in the QCD Hamiltonian between these states. Along with the ``harmonic oscillator'' states introduced in previous pure SU(3) work, these stat...
1992-10-02
2007-05-23
[ "hep-lat" ]
Timothy E. Vaughan
hep-lat/9210005
Fermion Doubling and Gauge Invariance on Random Lattices
Random-lattice fermions have been shown to be free of the doubling problem if there are no interactions or interactions of a non-gauge nature. On the other hand, gauge interactions impose stringent constraints as expressed by the Ward-Takahashi identities which could revive the free-field suppressed doubler modes in lo...
1992-10-02
2009-10-22
[ "hep-lat", "hep-th" ]
C J Griffin and T D Kieu
hep-lat/9210004
Multicritical Points in a Lattice Yukawa Model with the Wilson-Yukawa Coupling
For a lattice regularized chiral-invariant $SU(2)_L\times~SU(2)_R$ fermion-scalar model with a Yukawa coupling $y$ and a Wilson-Yukawa coupling $w$, we investigate the phase structure and in particular show the existence of the multicritical line, in the strong Yukawa and/or Wilson Yukawa coupling region, at which four...
1992-10-02
2009-10-22
[ "hep-lat" ]
T. Ebihara and K.-I. Kondo
hep-lat/9210001
Non-uniform measure in 4d simplicial quantum gravity
Four-dimensional euclidean quantum gravity has been studied as a discrete model based on dynamical triangulations by Ambjorn and Jurkiewicz and by Agishtein and Migdal. We discuss a particular implementation of a Monte Carlo simulation of simplicial quantum gravity. As an application we introduce a non-uniform measure ...
1992-10-01
2008-11-26
[ "hep-lat" ]
Bernd Bruegmann
hep-lat/9210002
4d Simplicial Quantum Gravity with a Non-Trivial Measure
We study 4d simplicial quantum gravity in the dynamical triangulation approach with a non-trivial class of measures. We find that the measure contribution plays an important role, influencing the phase diagram and the nature of the (possible) critical theory. We discuss how the lattice theory could be used to fix the q...
1992-10-01
2008-11-26
[ "hep-lat", "gr-qc", "hep-th" ]
Bernd Bruegmann and E. Marinari
hep-lat/9210003
The Running Coupling from SU(3) Gauge Theory
We present high precision results on the static quark-antiquark-potential on 32^4 and smaller lattices, using the standard Wilson action at BETA = 6.0, 6.2, 6.4, and 6.8 on the Connection Machine CM-2. Within our statistical errors (1%) we did not observe any finite size effects affecting the potential values, on varyi...
1992-10-01
2009-10-22
[ "hep-lat" ]
G.S. Bali and K. Schilling
hep-lat/9209027
Chern-Simons term in the 4-dimensional SU(2) Higgs Model
Using Seiberg's definition for the geometric charge in SU(2) lattice gauge theory, we have managed to apply it also to the Chern-Simons term. We checked the periodic structure and determined the Chern-Simons density on small lattices $L^4$ and $L^3 \times 2,\, 4$ with $L=4,\, 6,\mbox{ and }8$ near the critical region i...
1992-09-30
2009-10-22
[ "hep-lat" ]
F. Karsch, M. L. Laursen, T. Neuhaus and B. Plache
hep-lat/9209026
Bose Condensation and $Z_N$ Symmetry Breaking in the Mixed Model of Induced QCD
The mixed model of the large $ N $ induced QCD, with $ N_f \ll N $ flavors of heavy fermions in fundamental representation, is solved in the local limit. The $ Z_N$ symmetry is broken spontaneously in the large $ N $ limit, evading the Elitzur "no-go" theorem. As a result of this symmetry breaking, there is the Bose co...
1992-09-29
2009-10-22
[ "hep-lat", "hep-th" ]
A.A. Migdal
hep-lat/9209025
Monte Carlo simulation of lattice ${\rm CP}^{N-1}$ models at large N
In order to check the validity and the range of applicability of the 1/N expansion, we performed numerical simulations of the two-dimensional lattice CP(N-1) models at large N, in particular we considered the CP(20) and the CP(40) models. Quantitative agreement with the large-N predictions is found for the correlation ...
1992-09-28
2009-10-22
[ "hep-lat" ]
Ettore Vicari (Dipartimento di Fisica dell'Universita`, I-56126 Pisa, Italy)
hep-lat/9209024
Multicanonical Cluster Algorithm and the 2-D 7-State Potts Model
I present a hybrid-like two-step algorithm, which combines a microcanonical update of a spin system using demons, with a multicanonical demon refresh. The algorithm is free from the supercritical slowing down that burdens the canonical methods: the exponential increase of the tunnelling time between the metastable stat...
1992-09-25
2009-10-22
[ "hep-lat" ]
K. Rummukainen
hep-lat/9209023
Modified $U(1)$ lattice gauge theory: towards realistic lattice QED
We study properties of the compact $~4D~$ $U(1)$ lattice gauge theory with monopoles {\it removed}. Employing Monte Carlo simulations we calculate correlators of scalar, vector and tensor operators at zero and nonzero momenta $~\vec{p}~$. We confirm that the theory without monopoles has no phase transition, at least, i...
1992-09-23
2007-05-23
[ "hep-lat" ]
V.G. Bornyakov, V.K. Mitrjushkin and M. M\"uller-Preussker
hep-lat/9209022
On the Viability of Lattice Perturbation Theory
In this paper we show that the apparent failure of QCD lattice perturbation theory to account for Monte Carlo measurements of perturbative quantities results from choosing the bare lattice coupling constant as the expansion parameter. Using instead ``renormalized'' coupling constants defined in terms of physical quanti...
1992-09-22
2009-10-22
[ "hep-lat" ]
G.P.Lepage and P.B.Mackenzie
hep-lat/9209021
Neural multigrid for gauge theories and other disordered systems
We present evidence that multigrid works for wave equations in disordered systems, e.g. in the presence of gauge fields, no matter how strong the disorder, but one needs to introduce a "neural computations" point of view into large scale simulations: First, the system must learn how to do the simulations efficiently, t...
1992-09-21
2011-04-20
[ "hep-lat" ]
M. Baeker, T. Kalkreuter, G. Mack and M. Speh
hep-lat/9209020
The Phase Diagram of Fluid Random Surfaces with Extrinsic Curvature
We present the results of a large-scale simulation of a Dynamically Triangulated Random Surface with extrinsic curvature embedded in three-dimensional flat space. We measure a variety of local observables and use a finite size scaling analysis to characterize as much as possible the regime of crossover from crumpled to...
1992-09-18
2009-10-22
[ "hep-lat", "hep-th" ]
Mark Bowick, Paul Coddington, Leping Han, Geoffrey Harris and Enzo Marinari
hep-lat/9209019
Multi-quark energies in QCD
Four-quark potentials for $SU(2)$ are evaluated in the static limit with the quenched approximation -- using a lattice of $16^3\times 32$ and $\beta=2.4$. The four quarks are restricted to the corners of rectangles with sides upto seven lattice spacings long. The results are analysed in terms of a strategy based on int...
1992-09-15
2008-11-26
[ "hep-lat" ]
A.M.Green, C.Michael and J.E.Paton
hep-lat/9209018
Lyapunov Exponent of SU(3) Gauge Theory
The classical SU(3) gauge theory is shown to be deterministic chaotic. Its largest Lyapunov exponent is dertermined, from which a short time scale of thermalization of a pure gluon system is estimated. The connection to gluon damping rate is discussed.
1992-09-14
2010-11-01
[ "hep-lat" ]
C. Gong
hep-lat/9209017
Finite-Size Scaling Study of the Three-Dimensional Classical Heisenberg Model
We use the single-cluster Monte Carlo update algorithm to simulate the three-dimensional classical Heisenberg model in the critical region on simple cubic lattices of size $L^3$ with $L=12, 16, 20, 24, 32, 40$, and $48$. By means of finite-size scaling analyses we compute high-precision estimates of the critical temper...
1992-09-11
2009-10-22
[ "hep-lat" ]
Christian Holm and Wolfhard Janke
hep-lat/9209016
Direct Monte Carlo Measurement of the Surface Tension in Ising Models
I present a cluster Monte Carlo algorithm that gives direct access to the interface free energy of Ising models. The basic idea is to simulate an ensemble that consists of both configurations with periodic and with antiperiodic boundary conditions. A cluster algorithm is provided that efficently updates this joint ense...
1992-09-10
2009-10-22
[ "hep-lat" ]
Martin Hasenbusch
hep-lat/9209015
Chern-Simons term and Topological Charge on the Lattice
In a somewhat overlooked work by Seiberg, a definition of the topological charge for SU(N) lattice fields was given. Here, it is shown that Seibergs and L\"{u}schers charge definition are related up to the section of the bundle. With the continued interest in baryon number violating processes, Seibergs paper is useful ...
1992-09-09
2007-05-23
[ "hep-lat" ]
M.L.Laursen
hep-lat/9209014
Glueballs and Hybrid Mesons
We discuss states in the meson spectrum which have explicit gluonic components. Glueballs (with no valence quarks) and hybrid mesons (with valence quarks) are both reviewed. We present in some detail lattice simulation results. ( to appear in proceedings of QCD-20 years, Aachen Workshop)
1992-09-08
2007-05-23
[ "hep-lat", "hep-ph" ]
Chris Michael
hep-lat/9209013
Surface Tension, Surface Stiffness, and Surface Width of the 3-dimensional Ising Model on a Cubic Lattice
We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures, covering the whole region from the low temperature domain through the roughening transition to the bulk critical point. The interface tension sigma is obtained by integrating the surface energy density over the inv...
1992-09-07
2009-10-22
[ "hep-lat", "cond-mat" ]
Martin Hasenbusch and Klaus Pinn
hep-lat/9209012
Rotational Symmetry and Regularization Dependence in the $\Phi^4_4$-Model
We study the one component $\Phi^4$ model for four different lattice actions in the Gaussian limit and for the Ising model in the broken phase. Emphasis is put on the euclidean invariance properties of the boson propagator. A measure of the violation of rotational symmetry serves as a tool to compare the regularization...
1992-09-07
2010-11-19
[ "hep-lat" ]
C.B. Lang and U. Winkler
hep-lat/9209011
A quantitative study of the Kosterlitz-Thouless phase transition in a system of two-dimensional plane rotators ( XY model ) by high temperature expansions through $\beta^{20}$
High temperature series expansions of the spin-spin correlation function for the plane rotator (or XY) model on the square lattice are extended by three terms through order $\beta^{20}$. Tables of the expansion coefficients are reported for the correlation function spherical moments of order $l=0,1,2$. The expansion co...
1992-09-04
2009-10-22
[ "hep-lat", "cond-mat" ]
P. Butera and M. Comi (Istituto Nazionale di Fisica Nucleare Dipartimento di Fisica, Universit\`a di Milano Via Celoria 16, 20133 Milano, Italy)
hep-lat/9209009
Monopole Percolation and The Universality Class of the Chiral Transition in Four Flavor Noncompact Lattice QED
We simulate four flavor noncompact lattice QED using the Hybrid Monte Carlo algorithm on $10^4$ and $16^4$ lattices. Measurements of the monopole susceptibility and the percolation order parameter indicate a transition at $\beta = {1/e^2} = .205(5)$ with critical behavior in the universality class of four dimensional p...
1992-09-04
2009-10-22
[ "hep-lat" ]
A. Kocic, J.B. Kogut and K.C. Wang
hep-lat/9209010
Universal Properties of Chiral Simmetry Breaking
We discuss chiral symmetry breaking critical points from the perspective of PCAC, correlation length scaling and the chiral equation of state. A scaling theory for the ratio $R_\pi$ of the pion to sigma masses is presented. The Goldstone character of the pion and properties of the longitudinal and transverse chiral sus...
1992-09-04
2009-10-22
[ "hep-lat" ]
A. Kocic, J.B. Kogut and M.-P. Lombardo
hep-lat/9209007
SU(2) Potentials from Large Lattices
We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ From a careful study of the small-$R$ potentials in the region 2 GeV $< R^{-1} < 5$ GeV, ...
1992-09-03
2011-02-19
[ "hep-lat" ]
The UKQCD Collaboration: S.P. Booth, A. Hulsebos, A.C. Irving, A. McKerrell, C. Michael, P.S. Spencer, P.W. Stephenson
hep-lat/9209008
The Running Coupling from SU(3) Lattice Gauge Theory
{}From an accurate determination of the inter-quark potential, one can study the running coupling constant for a range of $R$-values and hence estimate the scale $\Lambda_{\msbar} $. Detailed results are presented for $SU(3)$ pure gauge theory.
1992-09-03
2011-02-19
[ "hep-lat" ]
The UKQCD Collaboration: S.P. Booth, D.S. Henty, A. Hulsebos, A.C. Irving, C. Michael, P.W. Stephenson
hep-lat/9209006
Capillary Waves in Binder's Approach to the Interface Tension
In Binder's approach the reduced interface tension sigma of the Ising model in the broken phase is determined from the finite volume effects of the partition function Z(M) at fixed total magnetization M. For small |M| the partition function of a system of size L^d with periodic boundary conditions is dominated by confi...
1992-09-03
2007-05-23
[ "hep-lat", "cond-mat" ]
U.-J. Wiese
hep-lat/9209005
High Precision Simulation Techniques for Lattice Field Theory
An overview is given over the recently developed and now widely used Monte Carlo algorithms with reduced or eliminated critical slowing down. The basic techniques are overrelaxation, cluster algorithms and multigrid methods. With these tools one is able to probe much closer than before the universal continuum behavior ...
1992-09-02
2011-04-15
[ "hep-lat" ]
Ulli Wolff (CERN)
hep-lat/9209003
Chern-Simons Currents and Chiral Fermions on the Lattice
We compute the Chern-Simons current induced by Wilson fermions on a $d=2n+1$ dimensional lattice, making use of a topological interpretation of the momentum space fermion propagator as a map from the torus to the sphere, $T^{d}\to S^{d}$. These mappings are shown to fall in different homotopy classes depending on the v...
1992-09-01
2009-10-22
[ "hep-lat", "hep-th" ]
Maarten Golterman, Karl Jansen and David Kaplan
hep-lat/9209004
The Finite Temperature Phase Diagram of a U(1) Higgs-Yukawa Model
The finite temperature phase diagram of a U(1) Higgs-Yukawa model at a finite value of the scalar self coupling $\lambda$ is investigated by means of a large-$N_f$ calculation and numerical simulations. The phase diagram is similar to the one at zero temperature and shows a ferromagnetic, two symmetric and an antiferro...
1992-09-01
2009-10-22
[ "hep-lat" ]
Karl Jansen
hep-lat/9209001
Asymptotic Freedom and Euclidean Quantum Gravity
Pure SU(2) gauge theory is the simplest asymptotically free theory in four dimensions. To investigate Euclidean quantum gravity effects in a fundamental length scenario, we simulate 4$d$ SU(2) lattice gauge theory on a dynamically coupled Regge skeleton. The fluctuations of the skeleton are governed by the standard Reg...
1992-09-01
2009-10-22
[ "hep-lat" ]
Bernd A. Berg, Balasubramanian Krishnan and Mohammad Katoot
hep-lat/9209002
Critical Momenta of Lattice Chiral Fermions
We determine the critical momenta for chiral fermions in the domain wall model recently suggested by Kaplan. For a wide range of domain wall masses $m$ and Wilson couplings $r$ we explicitly exhibit the regions in momentum space where the fermions are chiral. We compare the critical momenta for the infinitely large sys...
1992-09-01
2009-10-22
[ "hep-lat" ]
Karl Jansen and Martin Schmaltz
hep-lat/9208030
Lattice Calculation of QCD Vacuum Correlation Functions
The first exploratory calculations of QCD vacuum correlation functions on a lattice are reported. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation functions are shown to be useful in exploring approximations based on sum rules a...
1992-08-28
2007-05-23
[ "hep-lat" ]
M.-C. Chu, J. M. Grandy, S. Huang and J. W. Negele
hep-lat/9208029
A Study of the $N=2$ Kazakov-Migdal Model
We study numerically the SU(2) Kazakov-Migdal model of `induced QCD'. In contrast to our earlier work on the subject we have chosen here {\it not} to integrate out the gauge fields but to keep them in the Monte Carlo simulation. This allows us to measure observables associated with the gauge fields and thereby address ...
1992-08-27
2009-10-22
[ "hep-lat" ]
Sinya Aoki, Andreas Gocksch and Yue Shen
hep-lat/9208027
Non-perturbative analysis, Gribov horizons and the boundary of the fundamental domain
In this contribution to the proceedings we will describe some of the details for constructing the Gribov horizon and the boundary of the fundamental modular domain, when restricting to some low energy modes of pure SU(2) gauge theory in a spherical spatial geometry. The fundamental domain is a one-to-one representation...
1992-08-27
2007-05-23
[ "hep-lat", "hep-th" ]
Pierre van Baal and R.E. Cutkosky
hep-lat/9208026
Numerical Study of Finite Size Scaling for First Order Phase Transitions
I present results of simulations of the q=10 and q=20 2-d Potts models in the transition region. The asymptotic finite size behavior sets in only for extremely large lattices. We learn from this simulation that finite size scaling cannot be used to decide that a transition is first order.
1992-08-27
2016-04-26
[ "hep-lat", "cond-mat" ]
Alain Billoire
hep-lat/9208028
Running Coupling and the Lambda-Parameter from SU(3) Lattice Simulations
We present new results on the static qq-potential from high statistics simulations on 32^4 and smaller lattices, using the standard Wilson beta = 6.0, 6.4, and 6.8. Within our statistical errors we do not observe any finite size effects affecting the potential values, on varying the spatial lattice extent from 0.9fm up...
1992-08-27
2016-08-31
[ "hep-lat" ]
Gunnar S. Bali and Klaus Schilling
hep-lat/9208025
Decuplet Baryon Structure from Lattice QCD
The electromagnetic properties of the SU(3)-flavor baryon decuplet are examined within a lattice simulation of quenched QCD. Electric charge radii, magnetic moments, and magnetic radii are extracted from the E0 and M1 form factors. Preliminary results for the E2 and M3 moments are presented giving the first model indep...
1992-08-26
2008-11-26
[ "hep-lat", "hep-ph" ]
Derek B. Leinweber, Terrence Draper, and R.M. Woloshyn
hep-lat/9208023
Mixed Model of Induced QCD
The problems with the $Z_N$ symmetry breaking in the induced QCD are analyzed. We compute the Wilson loops in the strong coupling phase, but we do not find the $Z_N$ symmetry breaking, for arbitrary potential. We suggest to bypass this problem by adding to the model a heavy fermion field in a fundamental representation...
1992-08-22
2009-10-22
[ "hep-lat", "hep-th" ]
A.A. Migdal
hep-lat/9208024
Finite-Size Scaling on the Ising Coexistence Line
We report tests of finite-size scaling ansatzes in the low temperature phase of the two-dimensional Ising model. For moments of the magnetisation density, we find good agreement with the new ansatz of Borgs and Koteck\'y, and clear evi consequences of the convexity of the free energy are not adequately treated in eithe...
1992-08-22
2011-04-15
[ "hep-lat", "cond-mat" ]
S.Gupta and A.Irbaeck
hep-lat/9208020
The confined-deconfined Interface Tension and the Spectrum of the Transfer Matrix
The reduced tension $\sigma_{cd}$ of the interface between the confined and the deconfined phase of $SU(3)$ pure gauge theory is related to the finite size effects of the first transfer matrix eigenvalues. A lattice simulation of the transfer matrix spectrum at the critical temperature $T_c = 1/L_t$ yields $\sigma_{cd}...
1992-08-21
2009-10-22
[ "hep-lat" ]
B. Grossmann, M.L. Laursen, T. Trappenberg and U.-J. Wiese
hep-lat/9208022
Four - Fermi Theories in Fewer Than Four Dimensions
Four-fermi models in dimensionality $2<d<4$ exhibit an ultra-violet stable renormalization group fixed point at a strong value of the coupling constant where chiral symmetry is spontaneously broken. The resulting field theory describes relativistic fermions interacting non-trivially via exchange of scalar bound states....
1992-08-21
2016-08-31
[ "hep-lat" ]
Simon Hands, Aleksandar Kocic and John B. Kogut
hep-lat/9208021
Spectroscopy, Equation Of State And Monopole Percolation In Lattice QED With Two Flavors
Non-compact lattice QED with two flavors of light dynamical quarks is simulated on $16^4$ lattices, and the chiral condensate, monopole density and susceptibility and the meson masses are measured. Data from relatively high statistics runs at relatively small bare fermion masses of 0.005, 0.01, 0.02 and 0.03 (lattice u...
1992-08-21
2009-10-22
[ "hep-lat" ]
S.J. Hands, A. Kocic, J.B. Kogut, R.L. Renken, D.K. Sinclair and K.C. Wang
hep-lat/9208019
Fast vectorized algorithm for the Monte Carlo Simulation of the Random Field Ising Model
An algoritm for the simulation of the 3--dimensional random field Ising model with a binary distribution of the random fields is presented. It uses multi-spin coding and simulates 64 physically different systems simultaneously. On one processor of a Cray YMP it reaches a speed of 184 Million spin updates per second. Fo...
1992-08-21
2009-10-22
[ "hep-lat" ]
H. Rieger
hep-lat/9208018
The Hyperfine Splitting in Charmonium: Lattice Computations Using the Wilson and Clover Fermion Actions
We compute the hyperfine splitting $m_{J/\psi}-m_{\eta_c}$ on the lattice, using both the Wilson and $O(a)$-improved (clover) actions for quenched quarks. The computations are performed on a $24^3\times48$ lattice at $\beta = 6.2$, using the same set of 18 gluon configurations for both fermion actions. We find that the...
1992-08-21
2011-02-19
[ "hep-lat" ]
UKQCD Collaboration: C.R. Allton, C.T. Sachrajda, S.P. Booth, K.C. Bowler, D.S. Henty, R.D. Kenway, B.J. Pendleton, D.G. Richards, J.N. Simone, A.D. Simpson, C. Michael and P.W. Stephenson
hep-lat/9208015
Duality in Long-Range Ising Ferromagnets
It is proved that for a system of spins $\sigma _i = \pm 1$ having an interaction energy $-\sum K_{ij} \sigma _i \sigma _j $ with all the $K_{ij}$ strictly positive,one can construct a dual formulation by associating a dual spin $S_{ijk} = \pm 1$ to each triplet of distinct sites $i,j$ and $k$. The dual interaction ene...
1992-08-20
2008-11-26
[ "hep-lat", "hep-th" ]
Yannick Meurice
hep-lat/9208017
The triviality bound on the Higgs mass; its value and what it means
Older lattice work exploring the Higgs mass triviality bound is briefly reviewed. It indicates that a strongly interacting scalar sector in the minimal standard model cannot exist; on the other hand low energy QCD phenomenology might be interpreted as an indication that it could. We attack this puzzle using the $1/N$ e...
1992-08-20
2009-10-22
[ "hep-lat", "hep-ph" ]
H. Neuberger, U. M. Heller, M. Klomfass, P. Vranas
hep-lat/9208016
Embedding Z(3) in SU(3)
We consider the design of a non-local MonteCarlo algorithm for $SU(3)$ lattice systems according to the idea of {\em embedding} the degrees of freedom corresponding to the center of the group $Z(3)$. As a crucial ingredient to reach this goal, we present a practical implementation of a cluster algorithm for $Z(3)$ syst...
1992-08-20
2007-05-23
[ "hep-lat" ]
Enrico Onofri
hep-lat/9208014
Noncomputability Arising In Dynamical Triangulation Model Of Four-Dimensional Quantum Gravity
Computations in Dynamical Triangulation Models of Four-Dimensional Quantum Gravity involve weighted averaging over sets of all distinct triangulations of compact four-dimensional manifolds. In order to be able to perform such computations one needs an algorithm which for any given $N$ and a given compact four-dimension...
1992-08-18
2009-10-22
[ "hep-lat" ]
A. Nabutovsky, R. Ben-Av
hep-lat/9208013
Gauge invariant extremization on the lattice
Recently, a method was proposed and tested to find saddle points of the action in simulations of non-abelian lattice gauge theory. The idea, called `extremization', is to minimize $\int(\dl S/\dl A_\mu)^2$. The method was implemented in an explicitly gauge variant way, however, and gauge dependence showed up in the res...
1992-08-16
2009-10-22
[ "hep-lat" ]
A.J. van der Sijs
hep-lat/9208012
Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
We determine the critical couplings for the deconfinement phase transition in $SU(2)$ gauge theory on $N_\tau \times N_\sigma^3$ lattices with $N_\tau = 8$ and 16 and $N_\sigma$ varying between 16 and 48. A comparison with string tension data shows scaling of the ratio $T_c / \sqrt{\sigma}$ in the entire coupling regim...
1992-08-14
2009-10-22
[ "hep-lat" ]
J. Fingberg, U. M. Heller and F. Karsch
hep-lat/9208011
An Improved Acceptance Procedure for the Hybrid Monte Carlo Algorithm
The probability of accepting a candidate move in the hybrid Monte Carlo algorithm can be increased by considering a transition to be between windows of several states at the beginning and end of the trajectory, with a state within the selected window being chosen according to the Boltzmann probabilities. The detailed b...
1992-08-12
2008-02-03
[ "hep-lat" ]
R. M. Neal
hep-lat/9208007
Introduction to Lattice Gaugefixing and Effective Quark and Gluon Masses
This talk was presented to a non-lattice audience at the June, 1992 Paris Workshop on QCD Vacuum Structure. We report on the status of quark and gluon propagators in quenched, gaugefixed lattice QCD. In Landau gauge we find that the effective quark mass in the chiral limit is $M_q \sim 350(40)MeV$. Quark and gluon prop...
1992-08-12
2007-05-23
[ "hep-lat", "cond-mat", "hep-ph" ]
Claude Bernard, Amarjit Soni, Ken Yee
hep-lat/9208006
Continuum Gauge Fields from Lattice Gauge Fields
On the lattice some of the salient features of pure gauge theories and of gauge theories with fermions in complex representations of the gauge group seem to be lost. These features can be recovered by considering part of the theory in the continuum. The prerequisite for that is the construction of continuum gauge field...
1992-08-12
2009-10-22
[ "hep-lat" ]
M. Goeckeler, A. S. Kronfeld, G. Schierholz and U.-J. Wiese
hep-lat/9208009
A New Technique for Measuring the Strangemess Content of the Proton on the Lattice
A new technique for computing the strangeness content of the proton on the lattice is described. It is applied to the calculation of the strange quark contribution to the proton's spin, specifically to the evaluation of the proton matrix element of the strange quark axial current. Preliminary results are not in disagre...
1992-08-12
2009-10-22
[ "hep-lat", "hep-ph" ]
Jeffrey E. Mandula and Michael C. Ogilvie
hep-lat/9208008
Phase Transitions in Induced QCD
The variety of the phase transitions in Induced QCD are studied. Depending upon the parameters in the scalar field potential, there could be infinite number of fixed points, with different critical behavior. The integral equation for the density of the eigenvalues of the scalar field are generalized to the weak couplin...
1992-08-12
2015-06-25
[ "hep-lat", "hep-th" ]
A.A.Migdal
hep-lat/9208010
Gribov Copies and Smeared Correlation Functions in Lattice QCD
We study the influence of Gribov copies in the Coulomb gauge on the smeared hadronic correlation functions that are involved in the determination of the B meson decay constant. We find that the residual gauge freedom associated to Gribov copies induces observable noise effects, though at the level of numerical accuracy...
1992-08-12
2009-10-22
[ "hep-lat" ]
M.L. Paciello, C. Parrinello, S. Petrarca, B. Taglienti, A. Vladikas
hep-lat/9208005
Comparison of Lattice Coulomb Gauge Wave Functions in Quenched Approximation and with Dynamical Fermions
We present a comparison of Coulomb gauge wave functions from $6/{g^2}=6.0$ quenched simulations with two simulations which include the effects of dynamical fermions: simulations with two flavors of dynamical staggered quarks and valence Wilson quarks at $6/{g^2}=5.6$ and simulations with two flavors of dynamical Wilson...
1992-08-07
2009-10-22
[ "hep-lat" ]
M. Hecht, et al. (High Energy Monte Carlo Grand Challenge)
hep-lat/9208004
A Rigourous Treatment of the Lattice Renormalization Problem of F_B
The $B$-meson decay constant can be measured on the lattice using a $1/m_b$ expansion. To relate the physical quantity to Monte Carlo data one has to know the renormalization coefficient, $Z$, between the lattice operators and their continuum counterparts. We come back to this computation to resolve discrepancies found...
1992-08-05
2010-03-19
[ "hep-lat" ]
Ph.Boucaud, J-P Leroy, J. Micheli, O. P\`ene and G.C Rossi
hep-lat/9208003
A Parallel Cluster Labeling Method for Monte Carlo Dynamics
We present an algorithm for cluster dynamics to efficiently simulate large systems on MIMD parallel computers with large numbers of processors. The method divides physical space into rectangular cells which are assigned to processors and combines a serial local procedure with a nearest neighbor relaxation process. By c...
1992-08-03
2009-10-22
[ "hep-lat" ]
Mike Flanigan and Pablo Tamayo
hep-lat/9208002
Chern-Simons term in the 4-dimensional SU(2) Higgs model
Using a variation of Lueschers geometric charge definition for SU(2) lattice gauge theory, we have managed to give a geometric expression for it's Chern-Simons ter. From this definition we have checked the periodic structure. we determined the Chern-Simons density for symmetric and asymmetric lattices near the critical...
1992-08-03
2011-04-20
[ "hep-lat" ]
F.Karsch, M.L.Laursen, T.Neuhaus, B.Plache and U.-J.Wiese
hep-lat/9208001
Non-Exponential Relaxation Time Scales in Disordered Systems: an Application to Protein Dynamics
We study the dynamics of an heteropolymeric chain relaxing toward a new equilibrium configuration after the action of an external perturbation. We compare the results from Monte Carlo simulations with the results of a Langevin normal mode decomposition. We discuss, for sake of comparison, the case of an ordered homopol...
1992-08-02
2008-02-03
[ "hep-lat", "cond-mat", "q-bio.QM" ]
G. Iori, E. Marinari and G. Parisi
hep-lat/9207033
A Lower Bound on $T_{SR}/{m_{\rm H}}$ in the O(4) Model on Anisotropic Lattices
Results of an investigation of the $O(4)$ spin model at finite temperature using anisotropic lattices are presented. In both the large $N$ approximation and numerical simulations using the Wolff cluster algorithm we find that the ratio of the symmetry restoration temperature $T_{\rm SR}$ to the Higgs mass $m_{\rm H}$ i...
1992-07-31
2009-10-22
[ "hep-lat" ]
R.V. Gavai, U. M. Heller, F. Karsch, T. Neuhaus and B. Plache
hep-lat/9207034
Chiral Yukawa models in the planar limit
We consider the most general renormalizable chiral Yukawa model with $SU(3)_{\rm color}$ replaced by $SU(N_c)$, $SU(2)_{\rm L}$ replaced by $SU(N_w )$ and $U(1)_{Y}$ replaced by $U(1)^{N_w -1}$ in the limit $N_c \rightarrow\infty$, $N_w \rightarrow\infty$ with the ratio $\rho=\sqrt{{N_w}\over{N_c}} \ne 0,\infty$ held f...
1992-07-31
2009-10-22
[ "hep-lat", "hep-ph" ]
G. Bathas and H. Neuberger
hep-lat/9207035
The Phase Diagram of the $N=2$ Kazakov-Migdal Model
We have determined the phase diagram of the simplest version of a lattice model introduced in the recent work of Kazakov and Migdal. If $m_0$ and $\lambda$ are the bare mass and self coupling of the scalar field in the model respectively, we find a line of first order phase transitions in the ($m_0, \lambda$) plane end...
1992-07-31
2009-10-22
[ "hep-lat", "hep-th" ]
Andreas Gocksch and Yue Shen
hep-lat/9207032
Topological susceptibility and string tension in the lattice CP(N) models
In the lattice CP(N) models we studied the problems related to the measure of the topological susceptibility and the string tension . We perfomed numerical simulations at N=4 and N=10. In order to test the universality, we adopted two different lattice formulations. Scaling and universality tests led to the conclusion ...
1992-07-31
2016-08-31
[ "hep-lat" ]
M. Campostrini, P. Rossi, and E. Vicari
hep-lat/9207031
Finite Size Scaling of Probability Distributions in SU(2) Lattice Gauge Theory and Phi^4 Field Theory
For a system near a second order phase transition, the probability distribution for the order parameter can be given a finite size scaling form. This fact is used to compare the finite temperature phase transition for the Wilson lines in d=3+1 SU(2) lattice gauge theory with the phase transition in d=3 phi^4 field theo...
1992-07-29
2007-05-23
[ "hep-lat" ]
Stuart Staniford-Chen
hep-lat/9207030
Global Demons in Field Theory : Critical Slowing Down in the Xy Model
We investigate the use of global demons, a `canonical dynamics', as an approach to simulating lattice regularized field theories. This deterministically chaotic dynamics is non-local and non-Hamiltonian, and preserves the canonical measure rather than $\delta(H-E)$. We apply this inexact dynamics to the 2D XY model, co...
1992-07-27
2009-10-22
[ "hep-lat" ]
Dimitri Kusnezov (Yale) and John Sloan (Ohio State)
hep-lat/9207029
Topology of the Yang-Mills Configuration space
It will be described how to uniquely fix the gauge using Coulomb gauge fixing, avoiding the problem of Gribov copies. The fundamental modular domain, which represents a one-to-one representation of the set of gauge invariant degrees of freedom, is a bounded convex subset of the trans- verse gauge fields. Boundary ident...
1992-07-27
2007-05-23
[ "hep-lat", "hep-th" ]
Pierre van Baal
hep-lat/9207028
Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $\phi^4$ Theory
The phase shift of the O(4) symmetric $\phi^4$ theory in the symmetric phase is calculated numerically using the relation between phase shift and energy levels of two-particle states recently derived by L\"{u}scher. The results agree with the prediction of perturbation theory. A practical difficulty of the method for a...
1992-07-26
2009-10-22
[ "hep-lat", "hep-th" ]
Jun Nishimura
hep-lat/9207027
A new approach to noncompact lattice qed with light fermions
We discuss detailed simulations of the non compact abelian model coupled to light fermions, using a method previously developed that includes the effects of the fermionic interactions in an effective action. The approximations involved are related to an expansion in the flavour number. We address the problem of the (no...
1992-07-24
2015-06-25
[ "hep-lat" ]
V. Azcoiti, G. Di Carlo and A.F. Grillo
hep-lat/9207026
A Multicanonical Algorithm and the Surface Free Energy in SU(3) Pure Gauge Theory
We present a multicanonical algorithm for the SU(3) pure gauge theory at the deconfinement phase transition. We measure the tunneling times for lattices of size L^3x2 for L=8,10, and 12. In contrast to the canonical algorithm the tunneling time increases only moderately with L. Finally, we determine the interfacial fre...
1992-07-23
2009-10-22
[ "hep-lat", "astro-ph", "cond-mat" ]
B.Grossmann, M.L.Laursen, T.Trappenberg, U.-J.Wiese
hep-lat/9207025
QCD thermodynamics with two flavors of Wilson quarks at N_t=6
We report on a study of hadron thermodynamics with two flavors of Wilson quarks on 12^3x6 lattices. We have studied the crossover between the high and low temperature regimes for three values of the hopping parameter, kappa=0.16, 0.17, and 0.18. At each of these values of kappa we have carried out spectrum calculations...
1992-07-22
2009-10-22
[ "hep-lat" ]
Claude Bernard, Michael C. Ogilvie, Thomas A. DeGrand, Carleton DeTar, Steven Gottlieb, Alex Krasnitz, R. L. Sugar, and D. Toussaint
hep-lat/9207024
Large $N$ analysis of the Higgs mass triviality bound
We calculate the triviality bound on the Higgs mass in scalar field theory models whose global symmetry group $SU(2)_L \times SU(2)_{\rm custodial} \approx O(4)$ has been replaced by $O(N)$ and $N$ has been taken to infinity. Limits on observable cutoff effects at four percent in several regularized models with tunable...
1992-07-22
2009-10-22
[ "hep-lat", "hep-ph" ]
Urs M. Heller, Herbert Neuberger and Pavlos Vranas
hep-lat/9207022
Crossover Between Weakly and Strongly Self-avoiding Random Surfaces
We investigate the crossover between weak and strong self-avoidance in a simulation of random surfaces with extrinsic curvature. We consider both dynamically triangulated and rigid surfaces with the two possible discretizations of the extrinsic curvature term.
1992-07-21
2009-10-22
[ "hep-lat" ]
C.F. Baillie and D.A. Johnston
hep-lat/9207023
Multicanonical Spin Glass Simulations
We report a Monte Carlo simulation of the $2D$ Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size $L^2$ up to $L=48$ are investigated. Once a true groundstate is found, we are able to give a lower bound on the number of statistically independent grounds...
1992-07-21
2015-06-25
[ "hep-lat", "cond-mat" ]
B.A. Berg and T. Celik
hep-lat/9207021
Numerical simulation of heavy fermions in an SU(2)_L x SU(2)_R symmetric Yukawa model
An exploratory numerical study of the influence of heavy fermion doublets on the mass of the Higgs boson is performed in the decoupling limit of a chiral $\rm SU(2)_L \otimes SU(2)_R$ symmetric Yukawa model with mirror fermions. The behaviour of fermion and boson masses is investigated at infinite bare quartic coupling...
1992-07-21
2010-12-23
[ "hep-lat" ]
C. Frick, L. Lin, I. Montvay, G. Munster, M. Plagge, T. Trappenberg, H. Wittig
hep-lat/9207020
Topography of the hot sphaleron Transitions
By numerical simulations in {\it real time} we provide evidence in favour of sphaleron like transitions in the hot, symmetric phase of the electroweak theory. Earlier performed observations of a change in the Chern-Simons number are supplemented with a measurement of the lowest eigenvalues of the three-dimensional stag...
1992-07-20
2009-10-22
[ "hep-lat" ]
J. Ambjorn and K. Farakos
hep-lat/9207019
High Precision Verification of the Kosterlitz Thouless Scenario
We verify the Kosterlitz Thouless scenario for three different SOS (solid-on-solid) models, including the dual transforms of XY-models with Villain and with cosine action. The method is based on a matching of the renormalization group (RG) flow of the candidate models with the flow of a bona fide KT model, the exactly ...
1992-07-19
2009-10-22
[ "hep-lat", "cond-mat" ]
M. Hasenbusch, M. Marcu and K. Pinn
hep-lat/9207018
Fermion Interactions in the Wilson Yukawa Approach for Lattice Chiral Gauge Theories
We consider fermion-gauge couplings in the Wilson-Yukawa approach for lattice chiral gauge theories. At the leading order of a fermionic hopping parameter expansion we find that the fermion-gauge coupling has a chiral and tree-like structure. We argue that this fermion-gauge coupling remains non-zero in the continuum l...
1992-07-18
2017-02-01
[ "hep-lat" ]
Sinya Aoki
hep-lat/9207017
The equivalence of the SU(N) Yang Mills Theory with a Purely Fermionic Model
We investigate the detailed conditions under which a purely fermionic model with current-current interaction goes over to a renormalizable, asymptotically free SU$(N)$ gauge theory.
1992-07-17
2009-10-22
[ "hep-lat" ]
Anna Hasenfratz, Peter Hasenfratz
hep-lat/9207016
Improving Multigrid and Conventional Relaxation Algorithms for Propagators
Practical modifications of deterministic multigrid and conventional relaxation algorithms are discussed. New parameters need not be tuned but are determined by the algorithms themselves. One modification can be thought of as ``updating on a last layer consisting of a single site''. It eliminates critical slowing down i...
1992-07-17
2009-10-22
[ "hep-lat" ]
Thomas Kalkreuter
hep-lat/9207015
1/N Expansion and Particle Spectrum in Induced QCD
We study the 1/N expansion in the recently proposed model of the lattice gauge theory induced by heavy scalar field in adjoint representation. In the first approximation the fluctuations of the density of eigenvalues of the scalar field are Gaussian, so that the scalar glueball spectrum is defined from the correspondin...
1992-07-16
2009-10-22
[ "hep-lat", "hep-th" ]
A.A. Migdal
hep-lat/9207014
Lattice Charge Overlap: Towards the Elastic Limit
A numerical investigation of time-separated charge overlap measurements is carried out for the pion in the context of lattice QCD using smeared Wilson fermions. The evolution of the charge distribution function is examined and the expected asymptotic time behavior $\sim e^{-(E_{q}-m_{\pi})t}$, where $t$ represents the ...
1992-07-16
2009-10-22
[ "hep-lat" ]
Walter Wilcox
hep-lat/9207012
A Proposal for Simulating Chiral Fermions
We describe a method for evaluating chiral gauge theories that is not plagued by the doubling problem. To demonstrate the efficiency of the approach, we apply our ideas to the chiral Schwinger model.
1992-07-15
2009-10-22
[ "hep-lat" ]
M. Goeckeler and G. Schierholz
hep-lat/9207013
The Topological Susceptibility of the Lattice CP(n-1) Model on the Torus and the Sphere
The topological vacuum structure of the two-dimensional $~CP^{n-1}~$ model for $~n = 3,5,7~$ is studied on the lattice. In particular we investigate the small-volume limit on the torus as well as on the sphere and compare with continuum results. For $~n \ge 5~$ , where lattice artifacts should be suppressed, the topolo...
1992-07-15
2009-10-22
[ "hep-lat" ]
N. Schultka and M. M\"uller-Preussker
hep-lat/9207009
The Schr\"odinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
Following Symanzik we argue that the Schr\"odinger functional in lattice gauge theories without matter fields has a well-defined continuum limit. Due to gauge invariance no extra counter terms are required. The Schr\"odinger functional is, moreover, accessible to numerical simulations. It may hence be used to study the...
1992-07-09
2016-08-14
[ "hep-lat" ]
Martin L\"uscher and Rajamani Narayanan (DESY), Peter Weisz (MPI, Munich), Ulli Wolff (CERN)
hep-lat/9207011
On Heteropolymer Shape Dynamics
We investigate the time evolution of the heteropolymer model introduced by Iori, Marinari and Parisi to describe some of the features of protein folding mechanisms. We study how the (folded) shape of the chain evolves in time. We find that for short times the mean square distance (squared) between chain configurations ...
1992-07-09
2009-10-22
[ "hep-lat", "cond-mat", "q-bio.QM" ]
Pawel Pliszka and Enzo Marinari
hep-lat/9207010
Computation of the Running Coupling in the SU(2) Yang-Mills Theory
A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well described by the 2-loop ...
1992-07-09
2016-08-14
[ "hep-lat" ]
Martin L\"uscher (DESY), Peter Weisz (MPI, Munich), Rainer Sommer and Ulli Wolff (CERN)
hep-lat/9207008
The Theory of Dynamical Random Surfaces with Extrinsic Curvature
We analyze numerically the critical properties of a two-dimensional discretized random surface with extrinsic curvature embedded in a three-dimensional space. The use of the toroidal topology enables us to enforce the non-zero external extension without the necessity of defining a boundary and allows us to measure dire...
1992-07-08
2009-10-22
[ "hep-lat", "hep-th" ]
J. Ambjorn, A, Irback, J. Jurkiewicz and B. Petersson
hep-lat/9207007
Recent Results of Multimagnetical Simulations of the Ising Model
To investigate order-order interfaces, we perform multimagnetical Monte Carlo simulations of the $2D$ and $3D$ Ising model. Stringent tests of the numerical methods are performed by reproducing with high precision exact $2D$ results. In the physically more interesting $3D$ case we estimate the amplitude $F^s_0$ of the ...
1992-07-08
2015-06-25
[ "hep-lat" ]
U. Hansmann, B.A. Berg and T. Neuhaus
hep-lat/9207006
The Phase Diagram of a U(1) Higgs-Yukawa Model at Finite $\lambda$
In this paper we investigate how the phase diagram of a U(1) symmetric Higgs-Yukawa system depends on the scalar self coupling $\lambda$. The phase diagram of similar models with continuous symmetry were extensively studied in the infinite scalar self coupling $\lambda=\infty$ limit. Recent analytical and numerical cal...
1992-07-06
2009-10-22
[ "hep-lat" ]
A. Hasenfratz, K. Jansen and Y. Shen
hep-lat/9207004
Fermions in Models with Wilson--Yukawa Couplings
Our work on models with Wilson--Yukawa couplings is reviewed. Conclusions include the failure of such models to produce continuum chiral gauge theories.
1992-07-04
2009-10-22
[ "hep-lat" ]
M.F.L. Golterman and D.N. Petcher
hep-lat/9207005
On the Eichten--Preskill Proposal for Lattice Chiral Gauge Theories
We have studied the Eichten--Preskill proposal for constructing lattice chiral gauge theories using both strong and weak coupling methods. The results indicate that this proposal is unlikely to work due to a dynamical behavior similar to that of the Smit--Swift proposal, which also does not give rise to chiral fermions...
1992-07-04
2009-10-22
[ "hep-lat" ]
M.F.L. Golterman, D.N. Petcher and E. Rivas
hep-lat/9207002
Gauge Dependence of Effective Quark Mass and Matrix Elements in Gaugefixed Large $N$ Strong Coupling Lattice QCD
In conjunction with recent numerical \hbox{$\lambda~\partial_0 A_0 + \nabla\cdot\vec{A} =0$} ``$\lambda$-gauge'' results reported in a companion paper, we construct an $N\to\infty$ Wilson loop picture of $\lambda$-gaugefixing in which (I)the $\lambda$-gauge expectation value of a link chain $C$ is the weighted sum over...
1992-07-03
2011-07-19
[ "hep-lat" ]
Ken Yee
hep-lat/9207003
Kinematics of Multigrid Monte Carlo
We study the kinematics of multigrid Monte Carlo algorithms by means of acceptance rates for nonlocal Metropolis update proposals. An approximation formula for acceptance rates is derived. We present a comparison of different coarse-to-fine interpolation schemes in free field theory, where the formula is exact. The pre...
1992-07-03
2009-10-22
[ "hep-lat" ]
M.Grabenstein and K.Pinn
hep-lat/9207001
The Effective String of 3D Z_2 Gauge Theory as a c=1 compactified CFT
We report on a high precision Montecarlo test of the three dimensional Ising gauge model at finite temperature. The string tension $\sigma$ is extracted from the expectation values of correlations of Polyakov lines. Agreement with the string tension extracted from Wilson loops is found only if the quantum fluctuations ...
1992-07-01
2015-06-25
[ "hep-lat", "hep-th" ]
M. Caselle, R. Fiore, F. Gliozzi and S. Vinti
hep-lat/9206027
Numerical Analysis of the Quark Fraction of the Proton Spin
We report on a lattice QCD estimate of the quark spin fraction of the proton spin. The estimate is arrived at by means of a lattice QCD simulation of the polarized proton matrix element of the Adler-Bell-Jackiw anomaly. The preliminary result of the simulation is that this fraction is rather small. This is in accord wi...
1992-06-30
2007-05-23
[ "hep-lat", "hep-ph" ]
Jeffrey E. Mandula
hep-lat/9206026
The Universlity Class of Monopole Condensation in Non-Compact, Quenched Lattice QED
Finite size scaling studies of monopole condensation in noncompact quenched lattice $QED$ indicate an authentic second order phase transition lying in the universality class of four dimensional percolation. Since the upper critical dimension of percolation is six, the measured critical indices are far from mean-field v...
1992-06-30
2009-10-22
[ "hep-lat" ]
Aleksandar Kocic (CERN), John Kogut (Illinois), Simon Hands (CERN)