Color superconductivity in weak coupling - art. no. 074017

We derive perturbatively the gap equations for a color-superconducting cond ensate with total spin J = 0 in dense QCD. At zero temperature, we confirm the results of Son for the dependence of the condensate on the coupling con stant, and compute the prefactor to leading logarithmic accuracy. At nonzer o temperature, we find that to leading order in weak coupling, the temperat ure dependence of the condensate is identical to that in BCS-like theories. The condensates for total spin J = 1 are classified; to leading logarithmi c accuracy these condensates are of the same order as those of spin J = 0.