A note on color neutrality in NJL-type models

Abstract

By referring to the underlying physics behind the color charge neutrality condition in quark matter, we discuss how this condition should be properly imposed in NJL-type models in a phenomenologically meaningful way. In particular, we show that the standard assumption regarding the use of two color chemical potentials, chosen in a very special way, is not justified in general. When used uncritically, such an approach leads to wrong or unphysical conclusions.

4 pages, no figure; v2: minor clarifications, references added

References in corpus (25)

• NJL-model analysis of dense quark matter
• Color superconducting quark matter
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• The Quark-Gluon Plasma in Equilibrium
• Crystalline Color Superconductivity
• Superconductivity from perturbative one-gluon exchange in high density quark matter
• Absence of two-flavor color-superconductivity in compact stars
• Color superconductivity in weak coupling
• Color-Neutral Superconducting Quark Matter
• Patterns of Symmetry Breaking in QCD at High Baryon Density
• Schwinger-Dyson Approach to Color Superconductivity in Dense QCD
• The superfluid phases of quark matter: Ginzburg-Landau theory and color neutrality
• On gap equations and color-flavor locking in cold dense QCD with three massless flavors
• Superfluidity in a Model of Massless Fermions Coupled to Scalar Bosons
• Screening masses in neutral two-flavor color superconductor
• Mixed phases of color superconducting quark matter
• Color Superconductivity at Moderate Baryon Density
• Nonstrange hybrid compact stars with color superconducting matter
• Phase Structure of 2-Flavor Quark Matter: Heterogeneous Superconductors
• Gauge dependence identities for color superconducting QCD
• Gluons, tadpoles, and color neutrality in a two-flavor color superconductor
• Charge Neutrality of the Color-Flavor Locked Phase from the Low Energy Effective Theory
• Anisotropy Parameters for the Effective Description of Crystalline Color Superconductors
• Angular Momentum Mixing in Crystalline Color Superconductivity
• Self-consistent parametrization of the two-flavor isotropic color-superconducting ground state

Cited by in corpus (49)

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• From hadrons to quarks in neutron stars: a review
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• Color-flavor locked superconductor in a magnetic field
• 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 --
• Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields
• Hybrid stars within a covariant, nonlocal chiral quark model
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Phase diagram of neutral quark matter in nonlocal chiral quark models
• Complex Saddle Points and Disorder Lines in QCD at finite temperature and density
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• Complex saddle points in QCD at finite temperature and density
• The phase diagram of neutral quark matter: The effect of neutrino trapping
• Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
• Magnetized color flavor locked state and compact stars
• Phenomenological neutron star equations of state: 3-window modeling of QCD matter
• The quark core of protoneutron stars in the phase diagram of quark matter
• Self-consistent evaluation of quark masses in three flavor crystalline color superconductivity
• Stressed pairing in conventional color superconductors is unavoidable
• Color neutrality effects in the phase diagram of the PNJL model
• Gluonic phase versus LOFF phase in two-flavor quark matter
• Quark matter in neutron stars
• Manifestation of Instabilities in Nambu-Jona-Lasinio type models
• Comparison of the non-uniform chiral and 2SC phases at finite temperatures and densities
• On the neutrality issue in the Polyakov-loop NJL model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Single-flavour and two-flavour pairing in three-flavour quark matter
• Mesons and diquarks in neutral color superconducting quark matter with $\beta$-equilibrium
• 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
• Kaon condensation in the color-flavor-locked phase of quark matter, the Goldstone theorem, and the 2PI Hartree approximation
• Meissner screening mass in two-flavor quark matter at nonzero temperature
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
• NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited
• Optimized perturbation theory applied to the study of the thermodynamics and BEC-BCS crossover in the three-color Nambu--Jona-Lasinio model
• Asymmetric pairing of realistic mass quarks and color neutrality in the Polyakov--Nambu--Jona-Lasinio model of QCD
• Color symmetric superconductivity in a phenomenological QCD model
• Polyakov-Nambu-Jona Lasinio model and Color-Flavor-Locked phase of QCD
• Superfluid and Pseudo-Goldstone Modes in Three Flavor Crystalline Color Superconductivity
• Directional dependence of color superconducting gap in two-flavor QCD in a magnetic field
• Meissner screening masses in gluonic phase
• Condition for gapless color-antitriplet excitations in NJL models
• Fate of the inert three-flavor, spin-zero color-superconducting phases
• How does color neutrality affect collective modes in color superconductors?
• Phase diagram of two-flavor quark matter: Gluonic phase at nonzero temperature
• Color symmetrical superconductivity in a schematic nuclear quark model
• Spontaneous symmetry breaking in strong and electroweak interactions
• Mesons and diquarks in a color superconducting regime