Complete Gluonic Phase in Two-Flavour Colour Superconductivity

We study a typical complete gluonic phase (LGP) in two-flavour colour superconductivity (2SC) by calculating the essential cubic and quartic interfering term between the gluonic condensates < A⁸_z> and < A⁶_z> with a gauged NJL model. It is proven that the coefficients 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
< A⁶_z> 's quartic self-interaction term at stationary points of Larkin--Ovchinnikov--Fulde--Ferrell (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.