Hot Quark Matter with an Axial Chemical Potential

Abstract

We analyze the phase diagram of hot quark matter in presence of an axial chemical potential, ${\mu }_5$. The latter is introduced to mimic the chirality transitions induced, in hot Quantum Chromodynamics, by the strong sphaleron configurations. In particular, we study the curvature of the critical line at small ${\mu }_5$, the effects of a finite quark mass and of a vector interaction. Moreover, we build the mixed phase at the first order phase transition line, and draw the phase diagram in the chiral density and temperature plane. We finally compute the full topological susceptibility in presence of a background of topological charge.

12 pages, 7 figures. Few references added, short discussion included. Final version appearing on Phys. Rev. D

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• Beam-energy dependence of charge separation along the magnetic field in Au+Au collisions at RHIC
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• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
• Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential
• The effect of the chiral chemical potential on the chiral phase transition in the NJL model with different regularization schemes
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Thermodynamics of quark matter with a chiral imbalance
• Critical endpoint in the presence of a chiral chemical potential
• 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
• Quark Matter in a Strong Magnetic Background
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential
• 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
• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• 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
• Spontaneous chiral symmetry breaking and the Chiral Magnetic Effect for interacting Dirac fermions with chiral imbalance
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Studies of the structure of massive hybrid stars within a modified NJL model
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• The influence of chiral chemical potential, parallel electric and magnetic fields on the critical temperature of QCD
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Chiral Relaxation Time at the Crossover of Quantum Chromodynamics
• Dynamics of QCD Matter -- current status
• 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
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Effect of the chiral phase transition on axion mass and self-coupling
• Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• Phase diagram of helically imbalanced QCD matter
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• QCD phase diagram with chiral imbalance in NJL model: duality and lattice QCD results
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Kondo effect driven by chirality imbalance
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Anomalous Currents and Constitutive Relations of a Chiral Hadronic Superfluid
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Topological susceptibility and axion potential in two-flavor superconductive quark matter
• Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model
• The phase structure of two color QCD and charged pion condensation phenomenon
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Shear and bulk viscous coefficients of a hot and chirally imbalanced quark matter using NJL model
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
• Universality of phase diagrams in QCD and QCD-like theories
• The chiral phase transition and equation of state in the chiral imbalance
• Anomalous Strangeness Transport
• Constitutive relations of a chiral hadronic fluid
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities