Quark condensates and the deconfinement transition

TL;DR

This paper investigates the relationship between chiral symmetry restoration and deconfinement in quenched QCD using Dyson-Schwinger equations, finding that transition temperatures nearly coincide in the chiral limit.

Contribution

It introduces a method to determine both chiral and deconfinement transition temperatures from the Landau gauge quark propagator within Dyson-Schwinger equations.

Findings

Transition temperatures are slightly different at finite quark masses.

Transition temperatures coincide in the chiral limit.

Dual quark condensate signals the deconfinement transition.

Abstract

In this talk we present results on the chiral and the deconfinement transition of quenched QCD from Dyson-Schwinger equations. We determine the ordinary quark condensate signaling the chiral transition and the dual quark condensate signaling the deconfinement transition from the Landau gauge quark propagator evaluated at generalized boundary conditions. We find only slightly different transition temperatures at finite quark masses, whereas the transition temperatures coincide in the chiral limit.