When the transition temperature in color superconductors is not like in BCS theory

Andreas Schmitt; Qun Wang; Dirk H. Rischke

doi:10.1103/PhysRevD.66.114010

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When the transition temperature in color superconductors is not like in BCS theory

Andreas Schmitt, Qun Wang, Dirk H. Rischke

DOI 10.1103/PhysRevD.66.114010 · Physical Review D

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Abstract

We study color superconductivity with Nf=1, 2, and 3 massless flavors of quarks. We present a general formalism to derive and solve the gap equations for condensation in the even-parity channel. This formalism shows that the leading-order contribution to the gap equation is unique for all color superconductors studied here, and that differences arise solely at the subleading order. We discuss a simple method to compute subleading contributions from the integration over gluon momenta in the gap equation. Subleading contributions enter the prefactor of the color-superconducting gap parameter. In the case of color-flavor and color-spin locking we identify further corrections to this prefactor arising from the two-gap structure of the quasiparticle excitations. Computing the transition temperature Tc, where the color-superconducting condensate melts, we find that these contributions lead to deviations from the BCS behavior Tc≃0.57φ0, where φ0 is the magnitude of the zero-temperature gap at the Fermi surface.