Constraints on the infrared behavior of the gluon propagator in Yang-Mills theories.
Attilio Cucchieri,Tereza Mendes +1 more
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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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Proceedings ArticleDOI
Towards the continuum limit of the lattice Landau gauge gluon propagator
Orlando Oliveira,Paulo J. Silva +1 more
TL;DR: In this article, the infrared behavior of the lattice Landau gauge gluon propagator is discussed, combining results from simulations with different volumes and lattice spacings, and their implications for D(0) discussed.
Journal ArticleDOI
Gluon dynamics from an ordinary differential equation
TL;DR: In this article, a method for computing the nonperturbative kinetic term of the gluon propagator from an ordinary differential equation, whose derivation hinges on the central hypothesis that the regular part of the three-gluon vertex and the aforementioned kinetic term are related by a partial Slavnov-Taylor identity, is presented.
Journal ArticleDOI
The puzzling infrared of QCD: The landau gauge case
TL;DR: A short overview of nonperturbative investigations of Landau gauge gluon and ghost propagators in Yang-Mills theories with special emphasis on lattice computations in the infrared region is given in this article.
Dissertation
Non-perturbative aspects of Yang-Mills-Higgs theory
TL;DR: In this article, the spectral properties of Yang-Mills-Higgs theory were explored and it was shown that the correlation functions are the key for investigation, because at least in principle knowing all correlation functions gives us all the information about the theory under consideration.
Journal ArticleDOI
Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
TL;DR: In this article, a mechanism displaying gluon confinement, defined by the behavior of the propagators, in a model of SU(2) gauge fields, was proposed, which originates from an explicitly broken SU(3) Yang-Mills theory giving rise to a replica model composed of three mixed SU (2) groups.
References
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Book
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.