A study of the Gribov copies in linear covariant gauges in euclidean Yang-Mills theories

2005/06/20 by R. F. Sobreiro, S. P. Sorella · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1088/1126-6708/2005/06/054

published as JHEP 0506 (2005) 054 · 20 pages

arxiv created 2005/06/20 · openalex publication_date 2005/06/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Gribov copies and their consequences on the infrared behavior of the gluon propagator are investigated in Euclidean Yang-Mills theories quantized in linear covariant gauges. Considering small values of the gauge parameter, it turns out that the transverse component of the gluon propagator is suppressed, while its longitudinal part is left unchanged. A Green function, G_tr, which displays infrared enhancement and which reduces to the ghost propagator in the Landau gauge is identified. The inclusion of the dimension two gluon condensate <A²> is also considered. In this case, the transverse component of the gluon propagator and the Green function G_tr remain suppressed and enhanced, respectively. Moreover, the longitudinal part of the gluon propagator becomes suppressed. A comparison with the results obtained from the studies of the Schwinger-Dyson equations and from lattice simulations is provided.

Citations

• Quantization of non-Abelian gauge theories
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Dynamical gluon mass generation from in linear covariant gauges
• Gribov copies, lattice QCD and the gluon propagator
• No Confinement without Coulomb Confinement
• Infinite volume and continuum limits of the Landau-gauge gluon propagator
• Some remarks on the Gribov ambiguity

Cited by

• Non-perturbative aspects of Yang-Mills theories