Gribov copies, avalanches and dynamic generation of a gluon mass

Analytic calculations in the infrared regime of nonabelian gauge theories are hampered by the presence of Gribov copies which results in some ambiguity in the gauge-fixing procedure. This problem shares strong similarities with the issue of finding the true ground state among a large number of metas...

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Main Author: Matthieu Tissier
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318305811
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spelling doaj-53a2dce357d64ef5ac396f4c6c3730602020-11-25T01:07:39ZengElsevierPhysics Letters B0370-26932018-09-01784146150Gribov copies, avalanches and dynamic generation of a gluon massMatthieu Tissier0Laboratoire de Physique Théorique de la Matière Condensée, UPMC, CNRS UMR 7600, Sorbonne Universités, 4 Place Jussieu, 75252 Paris Cedex 05, FranceAnalytic calculations in the infrared regime of nonabelian gauge theories are hampered by the presence of Gribov copies which results in some ambiguity in the gauge-fixing procedure. This problem shares strong similarities with the issue of finding the true ground state among a large number of metastable states, a typical situation in the field of statistical physics of disordered systems. Building on this analogy, we propose a new gauge-fixing procedure which, we argue, makes more explicit the influence of the Gribov copies. A 1-loop calculation shows that the dynamics of these copies can lead to the spontaneous generation of a gauge-dependent gluon mass.http://www.sciencedirect.com/science/article/pii/S0370269318305811
collection DOAJ
language English
format Article
sources DOAJ
author Matthieu Tissier
spellingShingle Matthieu Tissier
Gribov copies, avalanches and dynamic generation of a gluon mass
Physics Letters B
author_facet Matthieu Tissier
author_sort Matthieu Tissier
title Gribov copies, avalanches and dynamic generation of a gluon mass
title_short Gribov copies, avalanches and dynamic generation of a gluon mass
title_full Gribov copies, avalanches and dynamic generation of a gluon mass
title_fullStr Gribov copies, avalanches and dynamic generation of a gluon mass
title_full_unstemmed Gribov copies, avalanches and dynamic generation of a gluon mass
title_sort gribov copies, avalanches and dynamic generation of a gluon mass
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-09-01
description Analytic calculations in the infrared regime of nonabelian gauge theories are hampered by the presence of Gribov copies which results in some ambiguity in the gauge-fixing procedure. This problem shares strong similarities with the issue of finding the true ground state among a large number of metastable states, a typical situation in the field of statistical physics of disordered systems. Building on this analogy, we propose a new gauge-fixing procedure which, we argue, makes more explicit the influence of the Gribov copies. A 1-loop calculation shows that the dynamics of these copies can lead to the spontaneous generation of a gauge-dependent gluon mass.
url http://www.sciencedirect.com/science/article/pii/S0370269318305811
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