Some Developments in Gribov's Approach to QCD

TL;DR

This paper reviews recent theoretical developments in the Gribov-Zwanziger approach to Quantum Chromodynamics, focusing on finite temperature effects, confinement criteria, BRST symmetry breaking, and implications for defining physical states.

Contribution

It synthesizes multiple advances in the GZ framework, including new formulations at finite temperature and insights into confinement mechanisms and BRST symmetry breaking.

Findings

GZ action formulated at finite temperature

Relation established between horizon condition and confinement criteria

Proposal for defining physical states with BRST symmetry breaking

Abstract

We review several developments in the formulation of QCD provided by the GZ action. These include the GZ-action at finite temperature, the relation of the horizon condition and the Kugo-Ojima confinement criterion, the relation of the horizon condition and the dual-Meisssner effect, the alternative derivation of the GZ action provided by the Maggiore-Schaden shift, and the spontaneous breaking of BRST symmetry. We conclude with a proposal for the definition of physical states in the presence of BRST breaking.