Perturbative nature of color superconductivity - art. no. 114012

Color superconductivity is a possible phase of high density QCD. We present a systematic derivation of the transition temperature T-c from the QCD Lag rangian through study of the di-quark proper vertex. With this approach, we confirm the dependence of T-c on the coupling g, namely T(c)similar to mu g(-5)e(-kappa/g), previously obtained from the one-gluon exchange approxima tion in the superconducting phase. The diagrammatic approach we employ allo ws us to examine the perturbative expansion of the vertex and the propagato rs. We find an additional O(1) contribution to the prefactor of the exponen tial from the one-loop quark self energy and that the other one-loop radiat ive contributions and the two gluon exchange vertex contribution are sublea ding.