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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Gribov horizon and BRST symmetry: A Few remarks
TL;DR: In this paper, Gribov-Zwanziger invariance was used to establish nonperturbative Ward identities, allowing us to evaluate the vacuum expectation value of quantities which are BRST exact.
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Reconstructing the gluon
TL;DR: In this paper, the authors reconstruct the spectral function of the gluon spectrum in Landau gauge from numerical data for the Gluon propagator and derive analytically the low frequency asymptotics.
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Gluon mass generation without seagull divergences
TL;DR: In this paper, the authors show how to eliminate seagull divergences by virtue of a characteristic identity, valid in dimensional regularization, which relies on the particular Ansatz employed for the three-gluon vertex entering into the Schwinger-Dyson equation governing the gluon propagator.
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On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
TL;DR: In this paper, the ghost and gluon propagators of Landau gauge Yang-Mills theory were solved and the ghost-gluon vertex was included in the truncation scheme for functional equations.
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Does the lattice zero-momentum gluon propagator for pure-gauge SU(3) Yang-Mills theory vanish in the infinite-volume limit?
Orlando Oliveira,Paulo J. Silva +1 more
TL;DR: In this paper, the Cucchieri-Mendes bounds for the gluon propagator were discussed for the four dimensional pure-gauge SU(3) theory.
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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.