Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon

Abstract

The two-point gauge correlation function in Yang--Mills--Chern--Simons theory in three dimensional Euclidean space is analysed by taking into account the non-perturbative effects of the Gribov horizon. In this way, we are able to describe the confinement and de-confinement regimes, which naturally depend on the topological mass and on the gauge coupling constant of the theory.

14 pages, 8 figures. Comments and references added. Annals of Physics 2014

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
• Casimir energy in the Gribov-Zwanziger approach to QCD

Cited by in corpus (10)

• Gravitational catalysis of merons in Einstein-Yang-Mills theory
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Topologically Massive Yang-Mills Theory and Link Invariants
• Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction
• Remarks on Gribov mechanism on N=1 Supersymmetric 3D theories and the possibility of obtaining Gribov from one ABJM like Theory
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• Implications of the Topological Chern-Simons mass in the Gap Equation
• Chern--Simons--Yang--Mills system in presence of Gribov horizon with fundamental Higgs matter
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background