Phase structure, collective modes, and the axial anomaly in dense QCD

Abstract

Using a general Ginzburg-Landau effective Lagrangian, we study the topological structure and low-lying collective modes of dense QCD having both chiral and diquark condensates, for two and three massless flavors. As we found earlier, the QCD axial anomaly acts as an external field applied to the chiral condensate in a color superconductor and, as a new critical point emerges, leads to a crossover between the broken chiral symmetry and color superconducting phases. At intermediate densities where both chiral and diquark condensates are present, we derive a generalized Gell-Mann- Oakes-Renner relation between the masses of pseudoscalar bosons and the magnitude of the chiral and diquark-condensates. We show explicitly the continuity of the ordinary pion at low densities to a generalized pion at high densities.

24 pages, 7 figures

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Cited by in corpus (91)

• Color superconductivity in dense quark matter
• The phase diagram of dense QCD
• From hadrons to quarks in neutron stars: a review
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• QCD critical region and higher moments for three flavor models
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
• Vortices and Other Topological Solitons in Dense Quark Matter
• Hybrid Stars in a Strong Magnetic Field
• Global aspects of the scalar meson puzzle
• Note on a sigma model connection with instanton dynamics
• Instabilities of Non-Abelian Vortices in Dense QCD
• Non-congruence of the nuclear liquid-gas and deconfinement phase transitions
• The NJL model of dense three-flavor matter with axial anomaly: the low temperature critical point and BEC-BCS diquark crossover
• Fluctuations and the axial anomaly with three quark flavors
• Signatures for quark matter from multi-messenger observations
• Universality of Phases in QCD and QCD-like Theories
• Singular values of the Dirac operator in dense QCD-like theories
• Hyperon Puzzle, Hadron-Quark Crossover and Massive Neutron Stars
• Two chiral nonet model with massless quarks
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• New type of crossover physics in three-component Fermi gases
• Vector interaction, charge neutrality and multiple chiral critical point structures
• Dense QCD in a Finite Volume
• Effective repulsion in dense quark matter from non-perturbative gluon exchange
• Confined Monopoles Induced by Quantum Effects in Dense QCD
• Higgs-confinement phase transitions with fundamental representation matter
• Number of the QCD critical points with neutral color superconductivity
• Topological term, QCD anomaly, and the eta' chiral soliton lattice in rotating baryonic matter
• Another chiral critical end-point induced by neutral color superconductivity
• U_A(1) Anomaly in Hot and Dense QCD and the Critical Surface
• Chiral Nonet Mixing in pi pi Scattering
• The axial anomaly and the phases of dense QCD
• Role of two-flavor color superconductor pairing in a three-flavor Nambu--Jona-Lasinio model with axial anomaly
• The Phase Diagram of Hadronic Matter
• Instanton-induced crossover in dense QCD
• Phenomenological QCD equations of state for neutron star dynamics: Nuclear-2SC continuity and evolving effective couplings
• Continuity from neutron matter to two-flavor quark matter with ${}^1{S}_0$ and ${}^3{P}_2$ superfluidity
• Gauged linear sigma model and pion-pion scattering
• Chiral effective theory of diquarks and the U_A(1) anomaly
• Nuclear chiral dynamics and phases of QCD
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• Spectral Continuity in Dense QCD
• Impacts of anomaly on nuclear and neutron star equation of state based on a parity doublet model
• Ginzburg-Landau phase diagram for dense matter with axial anomaly, strange quark mass, and meson condensation
• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Pseudoscalar Goldstone bosons in the color-flavor locked phase at moderate densities
• Axial anomaly and the three-flavor Nambu--Jona-Lasinio model with confinement: Constructing the QCD phase diagram
• Semi-leptonic $D_s^{+}$(1968) decays as a scalar meson probe
• Non-Abelian Alice strings in two-flavor dense QCD
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction
• New critical point for QCD in a magnetic field
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point
• Magnetic Tuning of the Relativistic BCS-BEC Crossover
• Ultrarelativistic heavy ion collisions: the first billion seconds
• Are three flavors special?
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• Topological confinement of vortices in two-flavor dense QCD
• Effects of quantum fluctuations on the low-energy collective modes of two-dimensional superfluid Fermi gases from the BCS to the Bose Limit
• The QCD Phase Diagram from Chiral Approaches
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
• Low-lying Scalars in an extended Linear $\sigma$ Model
• Dynamics near QCD critical point by dynamic renormalization group
• Asymmetric pairing of realistic mass quarks and color neutrality in the Polyakov--Nambu--Jona-Lasinio model of QCD
• BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
• Alice meets Boojums in neutron stars: vortices penetrating two-flavor quark-hadron continuity
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Equation of State in a Strongly Interacting Relativistic System
• Probing scalar mesons in semi-leptonic decays of $D_s^{+}$, $D^{+}$ and $D^0$
• Anomaly and a QCD-like phase diagram with massive bosonic baryons
• Pseudo Nambu-Goldstone modes in neutron stars
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Dirac Kondo effect under magnetic catalysis
• Functional renormalization group approach to color superconducting phase transition
• Pseudoscalar bosonic excitations in the color-flavor locked phase at moderate densities
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• Bayesian analysis of multimessenger M-R data with interpolated hybrid EoS
• Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Convergence of Ginzburg-Landau expansions: superconductivity in the Bardeen-Cooper-Schrieffer theory and chiral symmetry breaking in the Nambu-Jona-Lasinio model
• New dynamic critical phenomena in nuclear and quark superfluids
• Entropy in the quark-hadron transition
• Phenomenological QCD equations of state for neutron star mergers
• ${\mathbb{Z}}_3$ lattice gauge theory as a toy model for dense QCD
• Some exact results on the QCD critical point
• Selected challenges in low-energy QCD and hadron physics
• Some recent progress on quark pairings in dense quark and nuclear matter
• Quantum Hall liquids in high-density QCD
• Phenomenological QCD equations of state for neutron star mergers, a talk presented at CPOD17
• Symmetries and symmetry breaking patterns in QCD: chiral and deconfinement transitions