Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials

Abstract

In this paper we investigate the phase structure of a (1+1)-dimensional schematic quark model with four-quark interaction and in the presence of baryon (${\mu }_B$), isospin (${\mu }_I$) and chiral isospin (${\mu }_{I5}$) chemical potentials. It is established that in the large-$N_c$ limit ($N_c$ is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation (PC) one. The role and influence of this property on the phase structure of the model are studied. Moreover, it is shown that the chemical potential ${\mu }_{I5}$ promotes the appearance of the charged PC phase with nonzero baryon density.

arXiv comment16 pages, 11 figures; minor changes of the text; figure and references added; version accepted for publication in PRD

References in corpus (65)

• The Chiral Magnetic Effect
• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Equation of State of a Dense and Magnetized Fermion System
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Inverse magnetic catalysis in dense holographic matter
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• QCD at finite isospin density: from pion to quark-antiquark condensation
• Chiral Properties of Strong Interactions in a Magnetic Background
• Two lectures on color superconductivity
• Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Emergence of Skyrme crystal in Gross-Neveu and 't Hooft models at finite density
• Thermal Pions at Finite Isospin Chemical Potential
• Pion condensation in electrically neutral cold matter with finite baryon density
• Quark droplets stability induced by external magnetic field
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Pion condensation in quark matter with finite baryon density
• Phase diagram of hot magnetized two-flavor color superconducting quark matter
• Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
• Hot Quark Matter with an Axial Chemical Potential
• Magnetic Phases in Three-Flavor Color Superconductivity
• All about the Static Fermion Bags in the Gross-Neveu Model
• Thermodynamics of the Massive Gross-Neveu Model
• Color neutral 2SC phase of cold and dense quark matter in the presence of constant magnetic fields
• Phase Structure of Four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions
• Universality of Phases in QCD and QCD-like Theories
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• Effects of chiral imbalance and magnetic field on pion superfluidity and color superconductivity
• An effective QCD Lagrangian in the presence of an axial chemical potential
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Holographic baryonic matter in a background magnetic field
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Finite size effects in the Gross-Neveu model with isospin chemical potential
• The Influence of an External Chromomagnetic Field on Color Superconductivity
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• A Two-dimensional Model with Chiral Condensates and Cooper Pairs having QCD-like Phase Structure
• Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• Chemical potentials and parity breaking: the Nambu-Jona-Lasinio model
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Intriguing aspects of meson condensation
• Chiral phase transition in relativistic heavy-ion collisions with weak magnetic fields: ring diagrams in the linear sigma model
• Critical Dopant Concentration in Polyacetylene and Phase Diagram from a Continuous Four-Fermi Model
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Pion condensation of quark matter in the static Einstein universe
• Duality between quark-quark and quark-antiquark pairing in 1+1 dimensional large N models
• High density quark matter in the NJL model with dimensional vs. cut-off regularization
• No First-Order Phase Transition in the Gross-Neveu Model?
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Crystalline ground state in chiral Gross-Neveu and Cooper pair models at finite densities
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Phase Diagram of Gross-Neveu Model at Finite Temperature, Density and Constant Curvature
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• An Effective Field Theory Model for One-Dimensional $\mathrm{CH}$ Chains: Effects at Finite Chemical Potential, Temperature and External Zeeman Magnetic Field
• Surprises in relativistic matter in a magnetic field

Cited by in corpus (22)

• Dualities in dense quark matter with isospin, chiral and chiral isospin imbalance in the framework of the large-N${}_c$ limit of the NJL${}_4$ model
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Dense baryon matter with isospin and chiral imbalance in the framework of NJL${}_4$ model at large $N_c$: duality between chiral symmetry breaking and charged pion condensation
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Magnetic catalysis of a finite size pion condensate
• Kondo effect driven by chirality imbalance
• Duality study of chiral Heisenberg Gross-Neveu model in 1+1 dimensions
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Charged pions tagged with polarized photons probing strong CP violation in a chiral-imbalance medium
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Metastable pions in dense media
• Dulaity and charged pion condensation in chirally asymmetric dense quark matter in the framework of an NJL${}_2$ model
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Dilepton Production as a Probe of Pion Condensation in Hot and Dense QCD Matter
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities