Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges

TL;DR

This paper develops a non-perturbative quantization framework for Euclidean Yang-Mills theories in Curci-Ferrari gauges, incorporating gauge copies and condensates, and analyzes the gluon propagator across dimensions.

Contribution

It constructs a Refined Gribov-Zwanziger action with non-perturbative BRST symmetry for Curci-Ferrari gauges, advancing the understanding of gauge fixing and non-perturbative effects.

Findings

Gluon propagator behavior analyzed in various dimensions

Inclusion of gauge copies and condensates in the quantization

Establishment of a non-perturbative BRST symmetry

Abstract

In this paper we address the issue of the non-perturbative quantization of Euclidean Yang-Mills theories in the Curci-Ferrari gauge. In particular, we construct a Refined Gribov-Zwanziger action for this gauge which takes into account the presence of gauge copies as well as the dynamical formation of dimension two condensates. This action enjoys a non-perturbative BRST symmetry recently proposed in \cite{Capri:2015ixa}. Finally, we give attention to the gluon propagator in different space-time dimensions.