Schwinger-Dyson Approach to Color Superconductivity in Dense QCD

TL;DR

This paper investigates how magnetic gluon modes influence color superconductivity in dense QCD using the Schwinger-Dyson equation, revealing an enhancement of the superconducting gap at high chemical potentials.

Contribution

It introduces an improved rainbow approximation to analyze the impact of magnetic gluon modes on the color condensate in dense QCD.

Findings

Magnetic gluon modes enhance the superconducting order parameter at high chemical potentials.

The interplay between instanton effects and gluon interactions is discussed.

The Schwinger-Dyson approach provides insights into the mechanisms of color superconductivity.

Abstract

The problem of color superconductivity in dense QCD is reconsidered in the improved rainbow approximation to the Schwinger-Dyson equation. The effect of the unscreened magnetic modes of gluons on the value of the color condensate is studied. In particular, it is shown that, at sufficiently large values of the chemical potential, these modes lead to the enhancement of the superconducting order parameter. The interplay between the instanton induced interaction and the one-gluon induced one in color superconductivity is discussed.