Charge Neutrality of the Color-Flavor Locked Phase from the Low Energy Effective Theory

Abstract

We investigate the issue of charge neutrality of the CFL$K^0$ phase of dense quark matter using the low energy effective theory of high density QCD. We show that the local electric and color charge neutrality of the ground state in a homogeneous color superconducting medium follows from its dynamics. We also consider the situation of a spatially inhomogeneous medium, such as may be found in a neutron star core. We find that spatial inhomogeneity results in the generation of electric fields, and positrons/electrons may be present in the ground state. We estimate the concentration of charged leptons in the ground state to be $n_e\sim 10^2{cm}^{-3}$ and consider their influence on the opacity of the medium with respect to the modified photons.

arXiv commenttypos corrected, this version to appear in PRD

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Cited by in corpus (27)

• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Two lectures on color superconductivity
• Evaluating the Gapless Color-Flavor Locked Phase
• The Crystallography of Three-Flavor Quark Matter
• Effect of color superconductivity on the mass and radius of a quark star
• A Hot Water Bottle for Aging Neutron Stars
• The rigidity of crystalline color superconducting quark matter
• Heating (Gapless) Color-Flavor Locked Quark Matter
• A note on color neutrality in NJL-type models
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Gluons, tadpoles, and color neutrality in a two-flavor color superconductor
• Phase diagram of neutral quark matter in nonlocal chiral quark models
• NJL-model description of Goldstone boson condensation in the color-flavor locked phase
• Kaon Condensation in a Nambu--Jona-Lasinio (NJL) Model at High Density
• Spontaneous Superfluid Current Generation in CFL at Nonzero Strange Quark Mass
• Stressed pairing in conventional color superconductors is unavoidable
• CFL Phase of High Density QCD at Non Zero Strange Quark Mass
• Goldstone boson currents in a kaon condensed CFL phase
• Quark description of the Nambu-Goldstone bosons in the color-flavor locked phase
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
• Temporal Chiral Spiral in Strong Magnetic Fields
• Generalized Ward identity and gauge invariance of the color-superconducting gap
• Resummed one-loop gluonic contributions to the color superconducting color charge density vanish
• Bose-Einstein condensation in strong-coupling quark color superconductor near flavor SU(3) limit
• Fate of the inert three-flavor, spin-zero color-superconducting phases
• Formation of Gapless Phases of $K^0$ Condensed Color-Flavor Locked Superconducting Quark Matter