Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges

TL;DR

This paper proves that the refined Gribov-Zwanziger action in linear covariant gauges remains renormalizable at all orders, ensuring consistency of the gauge fixing procedure in Yang-Mills theories.

Contribution

It provides the first algebraic proof of all-order renormalizability for the refined Gribov-Zwanziger action in linear covariant gauges.

Findings

The action is proven to be renormalizable at all perturbative orders.

The framework maintains BRST invariance after refinement.

The results support the consistency of gauge fixing in non-Abelian gauge theories.

Abstract

The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of linear covariant gauges giving rise to a local and BRST-invariant action. In this paper, we give an algebraic proof of the renormalizability of the resulting action to all orders in perturbation theory.