The quark propagator in QCD and $G_2$ QCD

TL;DR

This paper investigates the quark propagator in QCD and G2 QCD using Dyson-Schwinger equations to analyze chiral and confinement transitions, facilitating comparisons with lattice results in QCD-like theories.

Contribution

It provides the first calculation of the quark propagator's role in chiral and confinement transitions in both QCD and G2 QCD at zero chemical potential.

Findings

Identified the chiral transition point via the quark condensate.

Determined the confinement/deconfinement transition using the dual chiral condensate.

Established a basis for future comparisons with lattice QCD results.

Abstract

QCD-like theories provide testing grounds for truncations of functional equations at non-zero density, since comparisons with lattice results are possible due to the absence of the sign problem. As a first step towards such a comparison, we determine for QCD and $G_2$ QCD the chiral and confinement/deconfinement transitions from the quark propagator Dyson-Schwinger equation at zero chemical potential by calculating the chiral and dual chiral condensates, respectively.