On the ground state of gapless two flavor color superconductors

Abstract

This paper is devoted to the study of some aspects of the instability of two flavor color superconductive quark matter. We find that, beside color condensates, the Goldstone boson related to the breaking of $U(1{)}_A$ suffers of a velocity instability. We relate this wrong sign problem, which implies the existence of a Goldstone current in the ground state or of gluonic condensation, to the negative squared Meissner mass of the $8^{th}$ gluon in the g2SC phase. Moreover we investigate the Meissner masses of the gluons and the squared velocity of the Goldstone in the multiple plane wave LOFF states, arguing that in such phases both the chromo-magnetic instability and the velocity instability are most probably removed. We also do not expect Higgs instability in such multiple plane wave LOFF. The true vacuum of gapless two flavor superconductors is thus expected to be a multiple plane wave LOFF state.

16 pages, RevTe3X4 style

References in corpus (15)

• Two lectures on color superconductivity
• Chromomagnetic instability in dense quark matter
• The Crystallography of Three-Flavor Quark Matter
• Testing the Ginzburg-Landau approximation for three-flavor crystalline color superconductivity
• Novel Phases at High Density and their Roles in the Structure and Evolution of Neutron Stars
• Characterizing the Larkin-Ovchinnikov-Fulde-Ferrel phase induced by the chromomagnetic instability
• Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
• Gluonic phase versus LOFF phase in two-flavor quark matter
• Instability of a gapless color superconductor with respect to inhomogeneous fluctuations
• Collective excitations, instabilities, and ground state in dense quark matter
• Manifestation of Instabilities in Nambu-Jona-Lasinio type models
• Goldstone boson currents in a kaon condensed CFL phase
• Gluonic phases, vector condensates, and exotic hadrons in dense QCD
• Higgs instability in gapless superfluidity/superconductivity
• Inhomogeneity driven by Higgs instability in gapless superconductor

Cited by in corpus (8)

• Color superconductivity in dense quark matter
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
• Superfluid and Pseudo-Goldstone Modes in Three Flavor Crystalline Color Superconductivity
• Is gluonic color-spin locked phase stable?
• Meissner screening masses in gluonic phase
• Phase diagram of two-flavor quark matter: Gluonic phase at nonzero temperature
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Instabilities in two flavor quark matter