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

Abstract

In this paper the phase structure of dense quark matter has been investigated in the presence of baryon, isospin and chiral isospin chemical potentials in the framework of (3+1)-dimensional Nambu--Jona-Lasinio model with two quark flavors. It has been shown that in the large-$N_c$ limit ($N_c$ is the number of colors of quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation one. The key conclusion of our studies is the fact that chiral isospin chemical potential generates charged pion condensation in dense quark matter with isotopic asymmetry.

arXiv comment16 pages, 12 figures. Typos corrected, new Sec. IV B and new references added. Accepted for publication in Phys. Rev. D. arXiv admin note: text overlap with arXiv:1704.01477, arXiv:1608.07688; text overlap with arXiv:1103.5480 by other authors

References in corpus (42)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Chiral Magnetic Effect
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• QCD at finite isospin density
• Quarkyonic Chiral Spirals
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• QCD at finite isospin density: from pion to quark-antiquark condensation
• Precision spectroscopy of pionic 1s states of Sn nuclei and evidence for partial restoration of chiral symmetry in the nuclear medium
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• QCD at small non-zero quark chemical potentials
• Thermal Pions at Finite Isospin Chemical Potential
• Pion condensation in electrically neutral cold matter with finite baryon density
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Pion condensation in quark matter with finite baryon density
• Hot Quark Matter with an Axial Chemical Potential
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• 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
• Pion Condensation by Rotation in a Magnetic field
• 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
• Orbifold equivalence and the sign problem at finite baryon density
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• 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
• A Random Matrix Study of the QCD Sign Problem
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• 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
• Pion condensation of quark matter in the static Einstein universe
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• 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
• Possibility of s-wave pion condensates in neutron stars revisited
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Topological deconfinement transition in QCD at finite isospin density
• Charged pions tagged with polarized photons probing strong CP violation in a chiral-imbalance medium

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• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
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• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• The phase structure of two color QCD and charged pion condensation phenomenon
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities