Constraints on the infrared behavior of the gluon propagator in Yang-Mills theories.
Attilio Cucchieri,Tereza Mendes +1 more
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TLDR
A controlled extrapolation of lattice data to infinite volume is performed, showing that the infrared limit of the Landau-gauge gluon propagator in SU(2) gauge theory is finite and nonzero in three and in four space-time dimensions.Abstract:
We present rigorous upper and lower bounds for the zero-momentum gluon propagator D(0) of Yang-Mills theories in terms of the average value of the gluon field. This allows us to perform a controlled extrapolation of lattice data to infinite volume, showing that the infrared limit of the Landau-gauge gluon propagator in SU(2) gauge theory is finite and nonzero in three and in four space-time dimensions. In the two-dimensional case, we find D(0)=0, in agreement with Maas. We suggest an explanation for these results. We note that our discussion is general, although we apply our analysis only to pure gauge theory in the Landau gauge. Simulations have been performed on the IBM supercomputer at the University of Sao Paulo.read more
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Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
TL;DR: In this paper , the Gaussian scalar propagator was shown to reproduce the behavior of correlation functions of colored matter fields in the infrared of Euclidean Yang-Mills theories, and the fate of Becchi-Rouet-Stora-Tyutin symmetry was discussed.
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Multivacuum states in a fermionic gap equation with massive gluons and confinement
TL;DR: In this paper, the authors studied the nontrivial solutions of the Quantum Chromodynamics (QCD) fermionic gap equation including the contribution of dynamically massive gluons and the confining propagator proposed by Cornwall.
Self-dual gauge fields and domain wall fermion zero modes
TL;DR: In this article, a new type of gauge fixing of the Coulomb gauge domain wall fermion system was proposed to reduce the fluctuation of the effective running coupling and the effective mass of arbitrary momentum direction including the region outside the cylinder cut region.
Proceedings ArticleDOI
Two-dimensional phase structure of SU(2) gauge-Higgs model
Shinya Gongyo,Daniel Zwanziger +1 more
TL;DR: In this article, the phase structure of the SU(2) gauge-Higgs model in two dimensions using lattice simulations is studied. And the results suggest that a confinement-like region and a Higgslike region appear even in 2D, and that the correlation length obtained from the W propagator has a finite maximum between these phases.
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A Guide to Monte Carlo Simulations in Statistical Physics
David P. Landau,Kurt Binder +1 more
TL;DR: A review of Monte Carlo methods of computer simulation can be found in this article, where a brief review of other methods of simulation can also be found, as well as a brief introduction to Monte Carlo studies of biological molecules.