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

Abstract

In this paper the phase structure of the dense quark matter has been investigated in the presence of baryon ${\mu }_B$, isospin ${\mu }_I$, chiral ${\mu }_5$ and chiral isospin ${\mu }_{I5}$ chemical potentials in the framework of Nambu--Jona-Lasinio model. It has been shown that in the large-$N_c$ limit ($N_c$ is the number of quark colours) there exist three duality correspondences in the model. The first duality is between the chiral symmetry breaking and the charged pion condensation phenomena. And there are two new dualities that hold only for chiral symmetry breaking and charged pion condensation phenomena separately. It was shown that at nonzero chiral ${\mu }_5$ chemical potential chiral isospin ${\mu }_{I5}$ chemical potential can generate charged pion condensation in dense quark matter even with zero ${\mu }_I$. But ${\mu }_5$ alone (in absence of ${\mu }_{I5}$ chemical potential) can generate this phase but not as powerfully as ${\mu }_{I5}$ does and only at comparatively low baryon densities.

arXiv comment19 pages, 18 figures, version accepted to PRD, a diagram added, number of figures reduced, discussions added, typos corrected. arXiv admin note: text overlap with arXiv:1710.09706

References in corpus (66)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Observation of the chiral magnetic effect in ZrTe5
• Chiral effective model with the Polyakov loop
• Neutron Star Cooling
• QCD at finite isospin density
• Pion Superfluidity and Meson Properties at Finite Isospin Density
• QCD at finite isospin density: from pion to quark-antiquark condensation
• QCD-like Theories at Finite Baryon and Isospin Density
• QCD phase diagram for nonzero isospin-asymmetry
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• QCD at small non-zero quark chemical potentials
• Quenched lattice QCD at finite isospin density and related theories
• Polyakov loop modeling for hot QCD
• Thermal Pions at Finite Isospin Chemical Potential
• The Problem of Matter Stability in the Nambu--Jona-Lasinio Model
• Rho meson condensation at finite isospin chemical potential in a holographic model for QCD
• 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
• Topological Currents in Neutron Stars: Kicks, Precession, Toroidal Fields, and Magnetic Helicity
• Universality of Phases in QCD and QCD-like Theories
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The Superfluid and Conformal Phase Transitions of Two-Color QCD
• 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
• Chiral electric separation effect in the quark-gluon plasma
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced 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
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
• Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$
• Thermodynamics of quark matter with a chiral imbalance
• Vector-type four-quark interaction and its impact on QCD 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
• General Structure of Relativistic Vector Condensation
• 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
• 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
• 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
• Two-flavor condensates in chiral dynamics: temperature and isospin density effects
• Duality between quark-quark and quark-antiquark pairing in 1+1 dimensional large N models
• Chiral density wave versus pion condensation at finite density
• Phase Diagram of Dynamical Twisted Mass Wilson Fermions at Finite Isospin Chemical Potential
• 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
• Meson Screening Mass in a Strongly Coupled Pion Superfluid
• Impact of the vector interaction on the phase structure of QCD matter
• 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
• Vector meson condensation in a pion superfluid
• Influence of vector interactions on the favored shape of inhomogeneous chiral condensates
• Large Pulsar Kicks from Topological Currents
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• IR properties of chiral effects in pionic matter
• Particle temperature and the Chiral Vortical Effect in the early universe
• Chiral dynamics and pion properties at finite temperature and isospin chemical potential
• Phase diagram of two-color QCD matter at finite baryon and axial isospin densities

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• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Speed of sound peak in isospin QCD: a natural prediction of the Medium Separation Scheme
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• 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