Dense two-color QCD from Dyson-Schwinger equations

TL;DR

This paper uses Dyson-Schwinger equations to study dense two-color QCD, benchmarking results against lattice data to understand phase transitions and the effects of truncation schemes.

Contribution

It provides a detailed comparison of Dyson-Schwinger equation results with lattice data for two-color QCD at finite density, exploring truncation effects on phase transitions.

Findings

Good agreement with lattice results for gluon propagator and chiral condensate.

Truncation variations influence the predicted phase transition points.

Comparison reveals differences between SU(2) and G2 gauge groups in phase diagrams.

Abstract

We investigate quantum chromodynamics with two colors at nonvanishing density using Dyson-Schwinger equations. Lattice methods do not have a complex action problem in this theory. Thus, we can benchmark our results and the effect of truncations directly by comparing with the corresponding lattice results. We do so for the gluon propagator, the chiral condensate, and the quark number density and test variations of the employed truncation to improve the agreement. Finally, we compare the effect of a truncation on the chiral and confinement/deconfinement transitions in the phase diagrams of QCD and QCD with the gauge groups $SU(2)$ and $G_2$.