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

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arxiv 1707.03694 v3 pith:HXN5YQL5 submitted 2017-07-12 hep-th

D. R. Granado , I. F. Justo , A. Yu. Petrov This is my paper · ORCID
classification hep-th
keywords gribovparametertheorybreakinggaugelorentzsymmetryyang-mills
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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.

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  1. On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects

    hep-th 2024-11 conditional novelty 6.0 of 10

    A gauge-invariant massive extension of Lorentz-violating Yang-Mills theory is constructed, along with a BRST-invariant refined Gribov-Zwanziger action and its tree-level propagator.

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