Deconfinement phase transition and the quark condensate

TL;DR

This paper investigates the dual quark condensate as an indicator of the confinement-deconfinement transition in QCD using Dyson-Schwinger equations, providing insights into the relationship between chiral and deconfinement transitions.

Contribution

It introduces a functional method approach to compute the dual and ordinary quark condensates, linking lattice QCD concepts with Dyson-Schwinger equations for the first time.

Findings

Dual quark condensate signals the deconfinement transition.

Temperature dependence reveals interplay between chiral and deconfinement transitions.

Method bridges lattice QCD and continuum approaches.

Abstract

We study the dual quark condensate as a signal for the confinement-deconfinement phase transition of QCD. This order parameter for center symmetry has been defined recently by Bilgici et al. within the framework of lattice QCD. In this work we determine the ordinary and the dual quark condensate with functional methods using a formulation of the Dyson-Schwinger equations for the quark propagator on a torus. The temperature dependence of these condensates serves to investigate the interplay between the chiral and deconfinement transitions of quenched QCD.