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Renormalization Group Improved Gap Equation for Color Superconductors

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arxiv nucl-th/0004013 v1 pith:MC4FKCOI submitted 2000-04-06 nucl-th hep-ph

classification nucl-thhep-ph
keywords alphacouplingequationgrouprenormalizationappropriatebetacolor
verification ladder T0 review T1 audit T2 compute T3 formal
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The renormalization group is used to resum leading logarithmic contributions of the form alpha_s^{n+1} beta_0^n log^n (Delta/mu) to the gap equation appropriate for high density QCD. The scale dependence of the strong coupling constant alpha_s increases the gap by a factor of exp(33/16 (pi^2/4 - 1)) ~ 20 in the small coupling limit.

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