On gap equations and color-flavor locking in cold dense QCD with three massless flavors

TL;DR

This paper investigates the superconducting phase of cold dense QCD with three massless flavors using Schwinger-Dyson equations, deriving coupled gap equations and analyzing the dominant color-flavor locking mechanisms.

Contribution

It derives and analyzes coupled gap equations for different color-flavor channels in cold dense QCD, highlighting the dominant role of the antitriplet-antitriplet pairing.

Findings

Antitriplet-antitriplet pairing dominates the order parameter.

Sextet-sextet pairing is small but nonzero.

Coupled gap equations are explicitly derived and analyzed.

Abstract

The superconductivity in cold dense QCD with three massless flavors is analyzed in the framework of the Schwinger-Dyson equation. The set of two coupled gap equations for the color antitriplet, flavor antitriplet (bar{3},bar{3}) and the color sextet, flavor sextet (6,6) order parameters is derived. It is shown that the antitriplet-antitriplet gives the dominant contribution to the color-flavor locked order parameter, while the sextet-sextet is small but nonzero.