Critical Point and Deconfinement from Dyson-Schwinger Equations

TL;DR

This paper uses Dyson-Schwinger equations to analyze the QCD phase diagram, identifying the critical end-point and deconfinement temperature at various chemical potentials, with novel finite chemical potential results.

Contribution

It introduces a method to determine the deconfinement temperature at finite chemical potential using QCD propagators, advancing understanding of QCD phase transitions.

Findings

Critical end-point position determined.

Deconfinement temperature at finite chemical potential obtained.

Polyakov-loop potential derived from QCD propagators.

Abstract

We employ the Dyson-Schwinger equations for quark and gluon propagators in order to study QCD with 2+1 flavours at finite temperature and density. In a suitable truncation for these equations, we determine the position of the critical end-point as well as the deconfinement temperature at all chemical potentials. For the latter, the Polyakov-loop potential is obtained from the QCD propagators. This is possible for the first time at finite chemical potential, with implications for effective models.