Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach

TL;DR

This paper investigates the neutrality constraints in the color-flavor-locked phase of QCD using Dyson-Schwinger equations, finding it energetically favored and challenging to define by residual symmetries.

Contribution

It introduces a self-consistent Dyson-Schwinger approach to study neutrality effects on the CFL phase in QCD at finite density.

Findings

CFL phase is energetically preferred at relevant densities

Impossibility to define CFL phase by residual global symmetries

Chemical potentials significantly influence phase structure

Abstract

The role of neutrality constraints for the phase structure of QCD at non-vanishing chemical potentials is studied within a self-consistent truncation scheme for the Dyson-Schwinger equation of the quark propagator in Landau gauge. We find the (approximate) color-flavor-locked phase to be energetically preferred at all potentially relevant densities and for physical values of the quark masses. We furthermore observe the impossibility to define this phase by residual global symmetries and discuss the role of chemical potentials.