On BRST-Related Symmetries in the FLPR Model with Gribov Ambiguities

TL;DR

This paper explores BRST-related symmetries in the FLPR model with Gribov ambiguities, linking findings to QCD and analyzing the impact of gauge choices on symmetries.

Contribution

It performs full functional quantization of the FLPR model considering Gribov ambiguities within a BRST framework, revealing symmetry violations.

Findings

Gauges with Gribov ambiguities violate initial discrete symmetries.

A family of BRST-related transformations generated by discrete symmetries.

Insights into similar symmetry issues in QCD.

Abstract

With a recent revival, novel features of the FLPR model have been reported in the literature. A connection between those features to QCD involving the Gribov problem is explored. We investigate the FLPR model in a recently proposed framework of BRST-related symmetries and perform its full functional quantization as a gauge invariant system taking into account the Gribov ambiguities. We obtain a family of BRST-related transformations generated by the discrete group of symmetries of the action. We show that gauges possessing Gribov ambiguities lead to a violation of the initial discrete group of symmetries of the gauge-fixed action. The obtained results shed light into similar issues in QCD by the corresponding association of variables and fields between the two systems.