Gaps and Critical Temperature for Color Superconductivity

Because of a logarithmic enhancement from soft, collinear magnetic gluons, in dense quark matter the gap for a color superconducting condensate with spin zero depends upon the QCD coupling constant g not as exp(-1/g{sup 2}), like in Bardeen, Cooper, and Schrieffer (BCS) theory, but as exp(-1/g). In weak coupling, the ratio of the transition temperature to the spin-zero gap at zero temperature is the same as in BCS theory. We classify the gaps with spin one, and find that they are of the same order in g as the spin-zero gap. (c) 2000 The American Physical Society.