Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-12-20
Phys.Rev. D62 (2000) 054016
Physics
High Energy Physics
High Energy Physics - Phenomenology
37 pages, 5 figures (revtex v3.1)
Scientific paper
10.1103/PhysRevD.62.054016
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 temperature and zero temperature gap have been determined to leading order in the coupling, g. While the leading non-BCS behavior, $T_C\sim\mu g^{-5}e^{-\kappa/g}$, is easily obtained, the pre-exponential factor has proved more difficult to evaluate. Focusing on the transition temperature, we present a perturbative derivation of this factor, exact to leading order in g. This approach 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 higher angular momentum for longitudinal and transverse quark pairing.
Brown William E.
Liu James T.
Ren Hai-cang
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