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

Sep, 2002
22 pages
Published in:
  • Phys.Rev.D 66 (2002) 114010
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Abstract:
We study color superconductivity with Nf=1,2,N_f=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, TcT_c, where the color-superconducting condensate melts, we find that these contributions lead to deviations from the BCS behavior Tc0.57ϕ0T_c\simeq 0.57 \phi_0, where ϕ0\phi_0 is the magnitude of the zero-temperature gap at the Fermi surface.
  • 24.85.+p
  • 12.38.Mh
  • quantum chromodynamics
  • color: superconductivity
  • quark: massless
  • flavor: 1-3
  • critical phenomena
  • temperature
  • fermion: propagator
  • renormalization