Non-Abelian extension of the aether term and the Gribov problem

TL;DR

This paper explores the quantization of the Yang-Mills-aether system, addressing gauge copies via Gribov's method, and analyzes the impact of the Gribov parameter on the Lorentz-violating aether term, especially in the ultraviolet limit.

Contribution

It provides a detailed treatment of the Gribov problem in the non-Abelian aether-modified Yang-Mills theory, deriving the Gribov parameter's effects on the coupling and Lorentz violation.

Findings

Gribov parameter affects the coupling constant and Lorentz violation.

In the ultraviolet limit, the Gribov parameter becomes negligible.

The analysis aligns with recent bounds on the aether parameter.

Abstract

In this paper, we treat the proper path integral quantization of the Yang-Mills-aether (YM-aether) system by dealing with the extra gauge copies in the Landau gauge. Within Gribov's prescription to get rid of such remaining gauge copies, we explicitly derive the Gribov parameter dependence of the coupling constant and of the Lorentz violation aether term. The ultraviolet limit is investigated under the light of recent bounds on the magnitude of the non-Abelian aether parameter, and we show that the Gribov parameter can be disregarded in that limit.