Roles of axial anomaly on neutral quark matter with color superconducting phase

Abstract

We investigate effects of the axial anomaly term with a chiral-diquark coupling on the phase diagram within a two-plus-one-flavor Nambu-Jona-Lasinio (NJL) model under the charge-neutrality and $\beta$-equilibrium constraints. We find that when such constraints are imposed, the new anomaly term plays a quite similar role as the vector interaction does on the phase diagram, which the present authors clarified in a previous work. Thus, there appear several types of phase structures with multiple critical points at low temperature $T$, although the phase diagrams with intermediate-$T$ critical point(s) are never realized without these constraints even within the same model Lagrangian. This drastic change is attributed to an enhanced interplay between the chiral and diquark condensates due to the anomaly term at finite temperature; the u-d diquark coupling is strengthened by the relatively large chiral condensate of the strange quark through the anomaly term, which in turn definitely leads to the abnormal behavior of the diquark condensate at finite $T$, inherent to the asymmetric quark matter. We note that the critical point from which the crossover region extends to zero temperature appears only when the strength of the vector interaction is larger than a critical value. We also show that the chromomagnetic instability of the neutral asymmetric homogenous two-flavor color superconducting(2CSC) phase is suppressed and can be even completely cured by the enhanced diquark coupling due to the anomaly term and/or by the vector interaction.

arXiv comment15 pages, 5 figures, typos corrected, new references and some statements added

References in corpus (60)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Instantons in QCD
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Signatures of the Tricritical Point in QCD
• Diquark Bose Condensates in High Density Matter and Instantons
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Superconductivity by long-range color magnetic interaction in high-density quark matter
• The Quark-Gluon Plasma in Equilibrium
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Superconductivity from perturbative one-gluon exchange in high density quark matter
• The phase diagram of neutral quark matter: Self-consistent treatment of quark masses
• Gapless two-flavor color superconductor
• The QCD phase diagram at nonzero quark density
• QCD phase diagram and the critical point
• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• High Density QCD and Instantons
• Chiral symmetry and density wave in quark matter
• Absence of two-flavor color-superconductivity in compact stars
• New Critical Point Induced by the Axial Anomaly in Dense QCD
• Color-Neutral Superconducting Quark Matter
• Hadron Physics from the Global Color Model of QCD
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Patterns of Symmetry Breaking in QCD at High Baryon Density
• Critical Points in the Linear Sigma Model with Quarks
• How many phases meet at the chiral critical point?
• Influence of vector interaction and Polyakov loop dynamics on inhomogeneous chiral symmetry breaking phases
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model (Addenda)
• Gapless color superconductivity at zero and at finite temperature
• On gap equations and color-flavor locking in cold dense QCD with three massless flavors
• Phase structure, collective modes, and the axial anomaly in dense QCD
• Chromomagnetic Instability and the LOFF state in a two flavor Color Superconductor
• Screening masses in neutral two-flavor color superconductor
• 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 --
• An Effective Field Theory Approach to Color Superconductivity at High Quark Density
• High Density Quark Matter and the Renormalization Group in QCD with two and three flavors
• Analytical and numerical evaluation of the Debye and Meissner masses in dense neutral three-flavor quark matter
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Gluonic phase in neutral two-flavor dense QCD
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Neutral Larkin--Ovchinnikov--Fulde--Ferrell state and chromomagnetic instability in two-flavor dense QCD
• Multiple Critical Points in Effective Quark Models
• Vector interaction, charge neutrality and multiple chiral critical point structures
• Number of the QCD critical points with neutral color superconductivity
• Another chiral critical end-point induced by neutral color superconductivity
• Dynamical Density Fluctuations around QCD Critical Point Based on Dissipative Relativistic Fluid Dynamics-possible fate of Mach cone at the critical point-
• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• The axial anomaly and the phases of dense QCD
• Stable gapless superconductivity at strong coupling
• Neutral Color Superconductivity Including Inhomogeneous Phases at Finite Temperature
• The Color-Superconducting {'}t Hooft Interaction
• Gluonic phases, vector condensates, and exotic hadrons in dense QCD
• Chromomagnetic instability in two-flavor quark matter at nonzero temperature
• $X$ Meson aka ${\eta }^{\prime }$ and Kobayashi-Maskawa-'t Hooft Six-quark Vertex -- $U(1{)}_A$ Anomaly and Generalized Nambu-Jona-Lasinio Model --

Cited by in corpus (13)

• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• Singular values of the Dirac operator in dense QCD-like theories
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Derivation of relativistic hydrodynamic equations consistent with relativistic Boltzmann equation by renormalization-group method
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Fate of chiral critical point under the strong isospin asymmetry
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Fate of separate chiral transitions at finite ${\mu }_I$ under the influence of mismatched vector interactions
• Correction to the Chiral Magnetic Effect from axial-vector interaction
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Combined chiral and diquark fluctuations along QCD critical line and enhanced baryon production with parity doubling
• Some recent progress on quark pairings in dense quark and nuclear matter