Complete Gluonic Phase in Two-Flavor Color Superconductivity

TL;DR

This paper investigates the complete gluonic phase in two-flavor color superconductivity, demonstrating its potential as the true ground state through detailed calculations of gluonic condensate interactions.

Contribution

It provides the first detailed calculation of cubic and quartic interference terms in the gluonic phase of 2SC, showing LGP can be the ground state under certain conditions.

Findings

Cubic interference terms vanish at stationary points.

Quartic interactions are explicitly calculated.

LGP may be the true ground state of 2SC for some parameters.

Abstract

We study a typical complete gluonic phase (LGP) in two-flavor color superconductivity (2SC) by calculating the essential cubic and quartic interfering term between the gluonic condensates $<A^{(8)}_{z}>$ and $<A^{(6)}_{z}>$ with a gauged NJL model. It is proven that the coefficient of the cubic interfering term and the vacuum contributions of the cubic and quartic interfering term are all equal to zeroes. The coefficients of the quartic interfering term and the $<A^{(6)}_{z}>$'s quartic self-interaction term at stationary points of LOFF phase are calculated. Comparisons among the effective potentials of LGP, g2SC and LOFF phase indicate that LGP could be the genuine ground state of 2SC for some reasonable parameters.