Center-symmetric Landau gauge: Further signatures of confinement

TL;DR

This paper explores the use of center-symmetric Landau gauge correlation functions as indicators of the Yang-Mills deconfinement transition, providing a systematic approach to detect center symmetry breaking.

Contribution

It generalizes previous signatures of deconfinement by systematically analyzing center symmetry identities in the Landau gauge.

Findings

Center symmetry identities serve as effective probes for deconfinement.

Violation of these identities indicates center symmetry breaking.

Provides a framework for analyzing correlation functions in relation to confinement.

Abstract

In a recent article [1], we have identified new signatures for the Yang-Mills deconfinement transition, based on the finite-temperature longitudinal or (chromo-)electric gluon propagator as computed in the center-symmetric Landau gauge. Here, we generalize these considerations into a systematic study of the center symmetry identities obeyed by the correlation functions in this gauge. Any violation of these constraints signals the breaking of center symmetry and can thus serve as a probe for the deconfinement transition.