Meson Supercurrent State in High Density QCD

Abstract

We study the effect of a non-zero strange quark mass on the color-flavor-locked (CFL) phase of high density quark matter. We have previously shown that for a strange quark mass $m_s\sim m_u^{1/3}{\Delta }^{2/3}$ the CFL state becomes unstable toward the formation of a neutral kaon condensate. Recently, several authors discovered that for $m_s\sim (2\Delta p_F{)}^{1/2}$ the CFL state contains gapless fermions, and that the gapless modes lead to an instability in current-current correlation functions. Using an effective theory of the CFL state we demonstrate that this instability is resolved by the formation of an inhomogeneous meson condensate, analogous to Migdal's p-wave pion condensate. This state has a non-zero meson current which is canceled by a backflow of gapless fermions.

4 pages, one figure, revised version, to appear in PRL (title changed in journal)

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• The phase diagram of dense QCD
• QCD and strongly coupled gauge theories: challenges and perspectives
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• Axial anomaly and magnetism of nuclear and quark matter
• Vortices and Other Topological Solitons in Dense Quark Matter
• The Crystallography of Three-Flavor Quark Matter
• The Stability of Strange Star Crusts and Strangelets
• The rigidity of crystalline color superconducting quark matter
• Unified weak/strong coupling framework for nuclear matter and neutron stars
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Phase diagram of two-color quark matter at nonzero baryon and isospin density
• Neutrino emission from compact stars and inhomogeneous color superconductivity
• Bulk viscosity in kaon-condensed color-flavor locked quark matter
• Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model
• Number of the QCD critical points with neutral color superconductivity
• Chiral anomaly induces superconducting baryon crystal
• Another chiral critical end-point induced by neutral color superconductivity
• Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling
• Meson current in the CFL phase
• Self-consistent evaluation of quark masses in three flavor crystalline color superconductivity
• Gluonic phase versus LOFF phase in two-flavor quark matter
• Critical temperature for kaon condensation in color-flavor locked quark matter
• Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter
• Collective excitations, instabilities, and ground state in dense quark matter
• Manifestation of Instabilities in Nambu-Jona-Lasinio type models
• Ginzburg-Landau phase diagram for dense matter with axial anomaly, strange quark mass, and meson condensation
• Phase space and quark mass effects in neutrino emissions in a color superconductor
• Goldstone boson currents in a kaon condensed CFL phase
• Gluonic phases, vector condensates, and exotic hadrons in dense QCD
• Dressed Polyakov loop and flavor dependent phase transitions
• The Crystallography of Strange Quark Matter
• Brane nucleation instabilities in non-AdS/non-CFT
• Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach
• Chromomagnetic instability in two-flavor quark matter at nonzero temperature
• On the ground state of gapless two flavor color superconductors
• Higgs instability in gapless superfluidity/superconductivity
• Polarized fermions in the unitarity limit
• NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited
• Inhomogeneity driven by Higgs instability in gapless superconductor
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
• Non-leptonic weak processes in spin-one color superconducting quark matter
• Effective Theories of Dense and Very Dense Matter
• Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum
• Is gluonic color-spin locked phase stable?
• Supercurrents in color-superconducting quark matter
• Color superconductivity in ultra-dense quark matter
• Meissner screening masses in gluonic phase
• Color superconductivity and the strange quark
• Phase diagram of two-flavor quark matter: Gluonic phase at nonzero temperature
• From Trapped Atoms to Liberated Quarks
• Formation of Gapless Phases of $K^0$ Condensed Color-Flavor Locked Superconducting Quark Matter
• Unconventional Color Superconductor
• Chromomagnetic stability of the CFL phase with a meson current
• Inhomogeneous color superconductivity and the cooling of compact stars
• The rigidity of three flavor quark matter