Dual order parameters and the deconfinement transition

TL;DR

This paper explores the relationship between chiral and deconfinement phase transitions in quantum chromodynamics using Dyson-Schwinger equations and lattice data, identifying nearly coincident transition temperatures.

Contribution

It introduces a combined analysis of chiral and deconfinement transitions via dual order parameters within a Dyson-Schwinger framework, utilizing lattice data for the gluon propagator.

Findings

Chiral and deconfinement transitions occur at nearly the same temperature.

Dual condensate and dual scalar quark dressing function serve as effective deconfinement order parameters.

The study bridges Dyson-Schwinger equations with lattice data to analyze phase transitions.

Abstract

We investigate the chiral and the deconfinement transition within the framework of Dyson-Schwinger equations using quenched lattice data for the temperature dependent gluon propagator as input. We extract corresponding order parameters from the Landau gauge quark propagator with U(1)-valued boundary conditions. We study the chiral transition using the conventional quark condensate, whereas for the deconfinement transition we determine the dual condensate ('dressed Polyakov loop'). In addition we consider an alternative order parameter for deconfinement, the dual scalar quark dressing function. As a result we find almost the same transition temperatures for the chiral and deconfinement transitions.