Ja n 20 05 Photons in gapless color - flavor - locked quark matter

We calculate the Debye and Meissner masses of a gauge boson in a material consisting of two species of massless fermions that form a condensate of Cooper pairs. We perform the calculation as a function of temperature, for the cases of neutral Cooper pairs and charged Cooper pairs, and for a range of parameters including gapped quaisparticles, and ungapped quasiparticles with both quadratic and linear dispersion relations at low energy. Our results are relevant to the behavior of photons and gluons in the gapless colorflavor-locked phase of quark matter. We find that the photon’s Meissner mass vanishes, and the Debye mass shows a non-monotonic temperature dependence, and at temperatures of order the pairing gap it drops to a minimum value of order √ α times the quark chemical potential. We confirm previous claims that an imaginary Meissner mass can arise from a charged gapless condensate, and we calculate its temperature dependence.