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 gauge theory, a qualitative analysis of the Gribov parameter and of the poles of the propagator is developed.