Manifestation of Instabilities in Nambu-Jona-Lasinio type models

Abstract

We study a Nambu-Jona-Lasinio (NJL) type model with two-flavor quark matter in $\beta$-equilibrium. It turns out that the system develops instabilities in the dispersion relations of the diquark fields, i.e., the velocity squared $v^2$ becomes negative in a certain region of the electron chemical potential. The critical point is the same as that of the chromomagnetic instability. The results imply the existence of spatially inhomogeneous diquark condensates in the genuine vacuum. We also discuss gauge equivalent classes between the inhomogeneous diquark condensates and gluon condensates.

arXiv comment8 pages, 2 figures; some points clarified, references added, appendix removed; to appear in Phys.Lett.B

References in corpus (43)

• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• Inhomogeneous Superconductivity in Condensed Matter and QCD
• Color superconducting quark matter
• The Quark-Gluon Plasma in Equilibrium
• Crystalline Color Superconductivity
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD
• Absence of two-flavor color-superconductivity in compact stars
• The Crystallography of Color Superconductivity
• Color-Neutral Superconducting Quark Matter
• Two lectures on color superconductivity
• Kaon Condensation and Goldstone's Theorem
• Inverse meson mass ordering in color-flavor-locking phase of high density QCD: erratum
• The superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality
• Chromomagnetic instability in dense quark matter
• Spontaneous Symmetry Breaking with Abnormal Number of Nambu-Goldstone Bosons and Kaon Condensate
• Charge Neutrality Effects on 2-flavor Color Superconductivity
• Meissner masses in the gCFL phase of QCD
• Chromomagnetic Instability and the LOFF state in a two flavor Color Superconductor
• Screening masses in neutral two-flavor color superconductor
• Debye screening and Meissner effect in a two-flavor color superconductor
• Color Superconductivity at Moderate Baryon Density
• 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
• Gluonic phase in neutral two-flavor dense QCD
• Meson Supercurrent State in High Density QCD
• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• Phase Structure of 2-Flavor Quark Matter: Heterogeneous Superconductors
• A note on color neutrality in NJL-type models
• Gauge dependence identities for color superconducting QCD
• Gluons, tadpoles, and color neutrality in a two-flavor color superconductor
• The Meissner Effect in a Two Flavor LOFF Color Superconductor
• Dispersion Laws for Goldstone Bosons in a Color Superconductor
• Spontaneous current generation in the gapless 2SC phase
• A Neutral Two Flavor Loff Color Superconductor
• Neutral Larkin--Ovchinnikov--Fulde--Ferrell state and chromomagnetic instability in two-flavor dense QCD
• 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
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Longitudinal gluons and Nambu-Goldstone bosons in a two-flavor color superconductor
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Collective excitations, instabilities, and ground state in dense quark matter

Cited by in corpus (18)

• Color superconductivity in dense quark matter
• Novel Topological Effects in Dense QCD in a Magnetic Field
• Neutral Color Superconductivity Including Inhomogeneous Phases at Finite Temperature
• Mass spectrum of diquarks and mesons in the color--flavor locked phase of dense quark matter
• Gluonic phases, vector condensates, and exotic hadrons in dense QCD
• Dressed Polyakov loop and flavor dependent phase transitions
• Mesons and diquarks in neutral color superconducting quark matter with $\beta$-equilibrium
• Diquarks in the color--flavor locked phase of dense quark matter
• Quark matter contribution to the heat capacity of magnetized neutron stars
• 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
• Inhomogeneity driven by Higgs instability in gapless superconductor
• Is gluonic color-spin locked phase stable?
• Color superconductivity in ultra-dense quark matter
• Meissner screening masses in gluonic phase
• Phase diagram of two-flavor quark matter: Gluonic phase at nonzero temperature
• Unconventional Color Superconductor