Chromomagnetic Catalysis of Color Superconductivity and Dimensional Reduction

TL;DR

This paper investigates how external chromomagnetic fields induce diquark condensation and dimensional reduction, supporting the universality of chromomagnetic catalysis of color superconductivity at non-zero temperature.

Contribution

It demonstrates that chromomagnetic fields can cause diquark condensation even with weak attraction, revealing a universal mechanism across various field configurations.

Findings

Diquark condensation occurs at arbitrary weak attraction in chromomagnetic fields.

Dimensional reduction by one or two units is associated with different field configurations.

The mechanism persists at non-zero temperature and is potentially influenced by chemical potential.

Abstract

We consider diquark condensation in external chromomagnetic fields at non--zero temperature. The general features of this process are investigated for various field configurations in relation to their symmetry properties and the form of the quark spectrum. According to the fields, there arises dimensional reduction by one or two units. In all cases there exists diquark condensation even at arbitrary weak quark attraction, confirming the idea about universality of this mechanism in a chromomagnetic field. Possible influence of a nonzero chemical potential on the results obtained is also discussed.