Gribov horizon beyond the Landau gauge

TL;DR

This paper extends the Gribov-Zwanziger approach to general R_xi gauges using field-dependent BRST transformations, providing explicit forms of the horizon functional and a method to transition between gauges.

Contribution

It introduces a generalized formulation of the Gribov-Zwanziger model for arbitrary gauges via field-dependent BRST transformations, including explicit horizon functionals.

Findings

Explicit non-local and local horizon functionals for R_xi gauges

Method to transition between Landau and general R_xi gauges

Extension of Gribov-Zwanziger model beyond Landau gauge

Abstract

Gribov and Zwanziger proposed a modification of Yang-Mills theory in order to cure the Gribov copy problem. We employ field-dependent BRST transformations to generalize the Gribov-Zwanziger model from the Landau gauge to general R_xi gauges. The Gribov horizon functional is presented in explicit form, in both the non-local and local variants. Finally, we show how to reach any given gauge from the Landau one.