CFL Phase of High Density QCD at Non Zero Strange Quark Mass

Abstract

We compute free energy of quark matter at asymptotically high baryon number density in the presence of non zero strange quark mass including dynamics of pseudo Nambu-Goldstone bosons due to chiral symmetry breaking, extending previously existing analysis based on perturbative expansion in $m_s^2/4\mu \Delta .$ We demonstrate that the CFL$K^0$ state has lower free energy than the symmetric CFL state for $0<m_s^2/4\mu \Delta <2/3$. We also calculate the spectrum of the fermionic quasiparticle excitations about the kaon condensed ground state in the regime $m_s^2/4\mu \Delta \sim 1$ and find that $(m_s^2/4\mu \Delta {)}_{crit}=2/3$ for the CFL-gCFL phase transition, the leading order result reported in [1], is not modified.

arXiv comment16 pages, 3 figures

References in corpus (23)

• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Color superconducting quark matter
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• Continuity of Quark and Hadron Matter
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD
• Gapless two-flavor color superconductor
• High Density Quark Matter under Stress
• Absence of two-flavor color-superconductivity in compact stars
• Gapless Color-Flavor-Locked Quark Matter
• Patterns of Symmetry Breaking in QCD at High Baryon Density
• Effective Theory for Color-Flavor Locking in high Density QCD
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD: erratum
• Novel phases and transitions in Color Flavor Locked matter
• An effective field theory of QCD at high density
• Quark Description of Hadronic Phases
• On the QCD Ground State at High Density
• Phase diagram of dense neutral three-flavor quark matter
• Kaon Condensation in High Density Quark Matter
• Mass Terms in Effective Theories of High Density Quark Matter
• Dispersion Laws for Goldstone Bosons in a Color Superconductor
• Hard Loops, Soft Loops, and High Density Effective Field Theory
• Effective Action and Renormalization Group Flow of Anisotropic Superconductors
• Charge Neutrality of the Color-Flavor Locked Phase from the Low Energy Effective Theory

Cited by in corpus (22)

• Color superconductivity in dense quark matter
• Extensive study of phase diagram for charge neutral homogeneous quark matter affected by dynamical chiral condensation -- unified picture for thermal unpairing transitions from weak to strong coupling --
• The Crystallography of Three-Flavor Quark Matter
• The ground state in a spin-one color superconductor
• Photons in gapless color-flavor-locked quark matter
• Analytical and numerical evaluation of the Debye and Meissner masses in dense neutral three-flavor quark matter
• A Hot Water Bottle for Aging Neutron Stars
• Meson Supercurrent State in High Density QCD
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Kaon Condensation in a Nambu--Jona-Lasinio (NJL) Model at High Density
• Spontaneous Superfluid Current Generation in CFL at Nonzero Strange Quark Mass
• Meson current in the CFL phase
• Stressed pairing in conventional color superconductors is unavoidable
• Critical temperature for kaon condensation in color-flavor locked quark matter
• Goldstone boson currents in a kaon condensed CFL phase
• Gluon effects on the equation of state of color superconducting strange stars
• NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited
• Effective Theories of Dense and Very Dense Matter
• Supercurrents in color-superconducting quark matter
• Color superconductivity in ultra-dense quark matter
• Formation of Gapless Phases of $K^0$ Condensed Color-Flavor Locked Superconducting Quark Matter
• Chromomagnetic stability of the CFL phase with a meson current