Photons in gapless color-flavor-locked quark matter

Abstract

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 color-flavor-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 sqrt(alpha) times the quark chemical potential. We confirm previous claims that at zero temperature an imaginary Meissner mass can arise from a charged gapless condensate, and we find that at finite temperature this can also occur for a gapped condensate.

arXiv comment22 pages, LaTeX; expanded discussion of temperature dependence

References in corpus (19)

• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Color superconducting quark matter
• The Quark-Gluon Plasma in Equilibrium
• Enforced Electrical Neutrality of the Color-Flavor Locked Phase
• Gapless Color-Flavor-Locked Quark Matter
• Meissner masses in the gCFL phase of QCD
• Chromomagnetic Instability and the LOFF state in a two flavor Color Superconductor
• Screening masses in neutral two-flavor color superconductor
• Evaluating the Gapless Color-Flavor Locked Phase
• Debye screening and Meissner effect in a two-flavor color superconductor
• A Hot Water Bottle for Aging Neutron Stars
• Debye screening and Meissner effect in a three-flavor color superconductor
• Heating (Gapless) Color-Flavor Locked Quark Matter
• Phase Structure of 2-Flavor Quark Matter: Heterogeneous Superconductors
• Photon Self-Energy in a Color Superconductor
• Mixing and Screening of Photons and Gluons in a Color Superconductor
• An Effective Theory for Baryons in the CFL Phase
• CFL Phase of High Density QCD at Non Zero Strange Quark Mass
• Gapless phases of color-superconducting matter

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