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251 papers · 1 filter
Topological charge and cooling scales in pure SU(2) lattice gauge theory
Bernd A. Berg, David A. Clarke
Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to , size , for pure SU(2) lattice gauge theory with the Wilson action. We calcul…
Estimates of Scaling Violations for Pure SU(2) LGT
Bernd A. Berg, David Clarke
We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining transition, Luescher's gradient flow, and the coo…
Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
Bernd A. Berg, David A. Clarke
We investigate the approach of pure SU(2) lattice gauge theory with the Wilson action to its continuum limit using the deconfining phase transition, the gradient flow and the cooli…
Asymptotic scaling and continuum limit of pure SU(3) lattice gauge theory
Bernd A. Berg
Recently the Yang-Mills gradient flow of pure SU(3) lattice gauge theory has been calculated in the range from to~7.5 (Asakawa et al.), where is the bare co…
Status of the Lambda Lattice Scale for the SU(3) Wilson gauge action
Bernd A. Berg
With the emergence of the Yang-Mills gradient flow technique there is renewed interest in the issue of scale setting in lattice gauge theory. Here I compare for the SU(3) Wilson ga…
SU(3) deconfining phase transition with finite volume corrections due to a confined exterior
Bernd A. Berg, Hao Wu
Using the geometry of a double-layered torus we investigate the deconfining phase transition of pure SU(3) lattice gauge theory by Markov chain Monte Carlo simulations. In one laye…
Fisher zeros and conformality in lattice models
Yannick Meurice, Alexei Bazavov, Bernd A. Berg +6
Fisher zeros are the zeros of the partition function in the complex beta=2N_c/g^2 plane. When they pinch the real axis, finite size scaling allows one to distinguish between first…
On the energy momentum dispersion in the lattice regularization
Bernd A. Berg, Zach McDargh
For a free scalar boson field and for U(1) gauge theory finite volume (infrared) and other corrections to the energy-momentum dispersion in the lattice regularization are investiga…
Density of states and Fisher's zeros in compact U(1) pure gauge theory
A. Bazavov, B. A. Berg, Daping Du +1
We present high-accuracy calculations of the density of states using multicanonical methods for lattice gauge theory with a compact gauge group U(1) on 4^4, 6^4 and 8^4 lattices. W…
Vector boson mass generation without new fields
Bernd A. Berg
Previously a model of only vector fields with a local U(2) symmetry was introduced for which one finds a massless U(1) photon and a massive SU(2) vector boson in the lattice regula…
Deconfined SU(2) phase with a massive vector boson triplet
Bernd A. Berg
We introduce a model of SU(2) and U(1) vector fields with a local U(2) symmetry. Its action can be obtained in the London limit of a gauge invariant regularization involving two sc…
Deconfined SU(2) vector fields at zero temperature
Bernd A. Berg
Markov chain Monte Carlo simulations of pure SU(2)xU(1) lattice gauge theory show a (zero temperature) deconfining phase transition in the SU(2) gluon sector when a term is added t…
Fortran MPI Checkerboard Code for SU(3) Lattice Gauge Theory I
Bernd A. Berg
We document Fortran MPI checkerboard code for Markov Chain Monte Carlo simulations of pure SU(3) lattice gauge theory with the Wilson action on a D-dimensional double-layered torus…
Program package for multicanonical simulations of U(1) lattice gauge theory
Alexei Bazavov, Bernd A. Berg
We document our Fortran 77 code for multicanonical simulations of 4D U(1) lattice gauge theory in the neighborhood of its phase transition. This includes programs and routines for…
Phase Transition Properties of 3D Potts Models
Alexei Bazavov, Bernd A. Berg, Santosh Dubey
Using multicanonical Metropolis simulations we estimate phase transition properties of 3D Potts models for q=4 to 10: The transition temperatures, latent heats, entropy gaps, norma…
Normalized entropy density of the 3D 3-state Potts model
Alexei Bazavov, Bernd A. Berg
Using a multicanonical Metropolis algorithm we have performed Monte Carlo simulations of the 3D 3-state Potts model on lattices with L=20, 30, 40, 50. Covering a range of inv…
Deconfining Phase Transition on Lattices with Boundaries at Low Temperature
Alexei Bazavov, Bernd A. Berg
In lattice gauge theory (LGT) equilibrium simulations of QCD are usually performed with periodic boundary conditions (BCs). In contrast to that deconfined regions created in heavy…
Non-Perturbative U(1) Gauge Theory at Finite Temperature
Bernd A. Berg, Alexei Bazavov
For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on lattices for fixed by extrapolating spatial volumes of size $N_s\l…
Glauber dynamics of phase transitions: SU(3) lattice gauge theory
Alexei Bazavov, Bernd A. Berg, Alexander Velytsky
Motivated by questions about the QCD deconfining phase transition, we studied in two previous papers Model A (Glauber) dynamics of 2D and 3D Potts models, focusing on structure fac…
Biased Metropolis-Heat-Bath Algorithm for Fundamental-Adjoint SU(2) Lattice Gauge Theory
Alexei Bazavov, Bernd A. Berg, Urs M. Heller
For SU(2) lattice gauge theory with the fundamental-adjoint action an efficient heat-bath algorithm is not known so that one had to rely on Metropolis simulations supplemented by o…
Critical behavior of strongly coupled lattice QCD at finite temperature
Yasuo Umino
We study the critical behavior of lattice Quantum Chromodynamics (QCD) in the strong coupling approximation with Kogut-Susskind and Wilson fermions at finite temperature () and…
Evolution of the Structure Factors in Pure SU(N) Lattice Gauge Theory and Effective Spin Models
A. Bazavov, B. A. Berg, A. Velytsky
We consider model A dynamics for a quench from the disordered into the ordered phase of SU(3) lattice gauge theory and the analogue 3d 3-state Potts model. For the gauge model this…
Heat Bath Efficiency with Metropolis-Type Updating
Alexei Bazavov, Bernd A. Berg
We illustrate for 4D SU(2) and U(1) lattice gauge theory that sampling with a biased Metropolis scheme is essentially equivalent to using the heat bath algorithm. Only, the biased…
Model A Dynamics and the Deconfining Phase Transition for Pure Lattice Gauge Theory
Alexei Bazavov, Bernd A. Berg, Alexander Velytsky
We consider model A dynamics for a heating quench from the disordered (confined) into the ordered (deconfined) phase of SU(3) lattice gauge theory. For lattices the expon…