Dyson-Schwinger approach to color superconductivity at finite temperature and density

TL;DR

This paper uses Dyson-Schwinger equations to study the phase diagram of dense QCD matter at finite temperature, identifying dominant color superconducting phases and their critical temperatures.

Contribution

It introduces a Dyson-Schwinger framework incorporating lattice data and perturbative effects to analyze color superconductivity at finite temperature and density.

Findings

CFL phase dominates at high chemical potentials (>500-600 MeV)

2SC phase appears at lower chemical potentials and small temperature bands

Critical temperatures for phase transitions are relatively low, around 20-30 MeV

Abstract

We investigate the phases of dense QCD matter at finite temperature with Dyson-Schwinger equations for the quark propagator for N_f=2+1 flavors. For the gluon propagator we take a fit to quenched lattice data and add quark-loop effects perturbatively in a hard-thermal-loop--hard-dense-loop approximation. We consider 2SC and CFL-like pairing with chiral up and down quarks and massive strange quarks and present results for the condensates and the phase diagram. We find a dominant CFL phase at chemical potentials larger than 500-600 MeV. At lower values of the chemical potential we find a 2SC phase, which also exists in a small band at higher temperatures for larger chemical potentials. With values of 20-30 MeV, the critical temperatures to the normal phase turn out to be quite small.