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How the quark self-energy affects the color-superconducting gap

Qun Wang, Dirk H. Rischke

DOI 10.1103/PhysRevD.65.054005 · Physical Review D

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Abstract

We consider color superconductivity with two flavors of massless quarks which form Cooper pairs with total spin zero. We solve the gap equation for the color-superconducting gap parameter to subleading order in the QCD coupling constant g at zero temperature. At this order in g, there is also a previously neglected contribution from the real part of the quark self-energy to the gap equation. Including this contribution leads to a reduction of the color-superconducting gap parameter φ0 by a factor b0′=exp[−(π2+4)/8]≃0.177. On the other hand, the BCS relation Tc≃0.57φ0 between φ0 and the transition temperature Tc is shown to remain valid after taking into account corrections from the quark self-energy. The resulting value for Tc confirms a result obtained previously with a different method.

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