Infrared propagators of YangMillsChernSimons theories in linear covariant gauges
Abstract
Recent works have explored nonperturbative effects due to the existence of (infinitesimal) Gribov copies in YangMillsChernSimons theories in three Euclidean dimensions. In particular, the removal of such copies modify the gauge field propagator by a selfconsistent dynamically generated mass parameter, the Gribov parameter. Due to the interplay with the topological mass introduced by the ChernSimons term, the propagator features a nontrivial set of phases with poles of different nature, leading to the possible interpretation of a confinfing to deconfining phase transition. Here, we restore the BecchiRouetStoraTyutin (BRST) symmetry which is softly broken by the elimination of gauge copies and provide a BRSTinvariant discussion of such a transition. In order to make clear all physical statements, we deal with linear covariant gauges which contain a gauge parameter and therefore allow for an explicit check of gauge parameter independence of physical results. We also discuss the generation of condensates due to the infrared relevance of infinitesimal Gribov copies.
 Publication:

Physical Review D
 Pub Date:
 August 2021
 DOI:
 10.1103/PhysRevD.104.045007
 arXiv:
 arXiv:2106.16205
 Bibcode:
 2021PhRvD.104d5007F
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology
 EPrint:
 11 pages, no figures