Constructing non-perturbative gauges using correlation functions

TL;DR

This paper proposes a method to resolve the Gribov-Singer ambiguity in non-perturbative gauge fixing by using correlation function conditions, enabling consistent comparison of non-perturbative Landau gauge results.

Contribution

It introduces a novel approach to construct non-perturbative gauges through correlation functions, addressing gauge ambiguity issues in non-Abelian gauge theories.

Findings

Correlation functions can distinguish different non-perturbative Landau gauges.

Lattice gauge theory calculations support the proposed gauge construction.

The method provides a framework for consistent gauge fixing in non-perturbative regimes.

Abstract

Gauge fixing in the non-perturbative domain of non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity. To compare results from different methods it is necessary to resolve this ambiguity explicitly. Such a resolution is proposed using conditions on correlation functions for a family of non-perturbative Landau gauges. As a consequence, the various results available for correlation functions could possibly correspond to different non-perturbative Landau gauges, discriminated by an additional non-perturbative gauge parameter. The proposal, the necessary assumptions, and evidence from lattice gauge theory calculations, are presented in detail.