Recent developments in weak-coupling color superconductivity

Abstract

Recent developments in weak-coupling color superconductivity are reviewed. These developments are as follows. The mean field gap equation is solved for most common superconducting phases up to subleading order; BCS relation is found to be violated in color-flavor-locking and color-spin-locking phases due to the two-gaps structure of the order parameter; The Debye and Meissner masses of gluons and photon with their rotated partners are calculated for these phases; We found that there is no electromagnetic Meissner effect in spin-one color superconductor; A proof of gauge parameter independence at subleading order is given in covariant gauge.