Transition temperature to the superconducting phase of QCD at high baryon density - art. no. 054016

Recent interest in the study of color superconductivity has focused on the regime of high baryon density where perturbative QCD may be employed. Based on the dominant one-gluon-exchange interaction, both the transition temper ature and zero temperature gap have been determined to leading order in the coupling g. While the leading non-BCS behavior T(C)similar to mu g(-5)e(-k appa/g) is easily obtained, the pre-exponential factor has proved more diff icult to evaluate. Focusing on the transition temperature, we present a per turbative derivation of this factor, exact to leading order in g. This appr oach is first motivated by the study of a toy model and involves working to second order in the perturbative expansion. We compare this result to the zero temperature gap. Additionally, we extend the analysis to the case of h igher angular momentum for longitudinal and transverse quark pairing.