Lorentz symmetry breaking in a Yang-Mills theory within the Gribov restriction

Abstract

In this paper we take into account the existence of Gribov copies in a four-dimensional Yang-Mills theory in the Landau gauge with an effective Lorentz symmetry breaking, induced by the Carroll-Field-Jackiw (CFJ) term. The self consistent gap equation of the Gribov parameter is properly derived and, provided observational bounds to the amplitude of the CFJ parameter in the $SU(2)$ gauge theory, a qualitative analysis of the Gribov parameter and of the poles of the propagator is developed.

18 pages, version accepted to Journal of Physics A

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Cited by in corpus (3)

• Non-Abelian extension of the aether term and the Gribov problem
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background