Critical temperature for kaon condensation in color-flavor locked quark matter

Abstract

We study the behavior of Goldstone bosons in color-flavor-locked (CFL) quark matter at nonzero temperature. Chiral symmetry breaking in this phase of cold and dense matter gives rise to pseudo-Goldstone bosons, the lightest of these being the charged and neutral kaons K^+ and K^0. At zero temperature, Bose-Einstein condensation of the kaons occurs. Since all fermions are gapped, this kaon condensed CFL phase can, for energies below the fermionic energy gap, be described by an effective theory for the bosonic modes. We use this effective theory to investigate the melting of the condensate: we determine the temperature-dependent kaon masses self-consistently using the two-particle irreducible effective action, and we compute the transition temperature for Bose-Einstein condensation. Our results are important for studies of transport properties of the kaon condensed CFL phase, such as bulk viscosity.

24 pages, 8 figures, v2: new section about effect of electric neutrality on critical temperature added; references added; version to appear in J.Phys.G

References in corpus (18)

• Quark matter in compact stars?
• Two lectures on color superconductivity
• The Crystallography of Three-Flavor Quark Matter
• Pion and Kaon Condensation at Finite Temperature and Density
• Gapless Hartree-Fock-Bogoliubov Approximation for Bose Gases
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Bulk viscosity due to kaons in color-flavor-locked quark matter
• Neutrino emission from compact stars and inhomogeneous color superconductivity
• Bulk viscosity in 2SC quark matter
• Meson current in the CFL phase
• Spontaneous symmetry breaking in the linear sigma model at finite chemical potential: One-loop corrections
• Bulk viscosity in kaon condensed matter
• Phase space and quark mass effects in neutrino emissions in a color superconductor
• Goldstone bosons in presence of charge density
• Goldstone boson currents in a kaon condensed CFL phase
• Absence of the London limit for the first-order phase transition to a color superconductor
• Diquarks in the color--flavor locked phase of dense quark matter
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics

Cited by in corpus (7)

• Color superconductivity in dense quark matter
• Bulk viscosity in kaon-condensed color-flavor locked quark matter
• Thermal Relaxation and Cooling of Quark Stars with a Strangelet Crust
• Bose-Einstein condensation in dense quark matter
• Phase transition patterns for coupled complex scalar fields at finite temperature and density
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Relativistic superfluid hydrodynamics from field theory