Recent developments in weak-coupling colour superconductivity

Recent developments in weak-coupling colour 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 colour-flavour locking and colour-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-1 colour superconductor; a proof of gauge parameter independence at subleading order is given in covariant gauge.