Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential

Abstract

In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, ${\mu }_5$, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way possible a Euclidean momentum, $p_E$, dependent quark mass function which decays (neglecting logarithms) as $1/p_E^2$ for large $p_E$, in agreement with asymptotic behaviour expected in QCD in presence of a nonperturbative quark condensate. We focus on the critical temperature for chiral symmetry restoration in the chiral limit, $T_c$, versus ${\mu }_5$, as well as on the order of the phase transition. We find that $T_c$ increases with ${\mu }_5$, and that the transition remains of the second order for the whole range of ${\mu }_5$ considered.

Section 3.2 added. To appear on Journal of Physics G

References in corpus (17)

• The Chiral Magnetic Effect
• Gravitational Anomaly and Transport
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• The Sphaleron Rate in SU(N) Gauge Theory
• The chiral magnetic effect in hydrodynamical approach
• Notes on chiral hydrodynamics within effective theory approach
• 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 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
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• The masses of vector mesons in holographic QCD at finite chiral chemical potential
• Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential

Cited by in corpus (24)

• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• 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
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ 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
• 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
• 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
• Dynamics of QCD Matter -- current status
• The dual properties of chiral and isospin asymmetric dense quark matter formed of two-color quarks
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• 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
• Chiral perturbation theory for nonzero chiral imbalance
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• Phase diagram of helically imbalanced QCD matter
• Kondo effect driven by chirality imbalance
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• Topological susceptibility and axion potential in two-flavor superconductive quark matter
• The phase structure of two color QCD and charged pion condensation phenomenon
• Chiral and deconfinement thermal transitions at finite quark spin polarization in lattice QCD simulations
• 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
• Shear and bulk viscous coefficients of a hot and chirally imbalanced quark matter using NJL model
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities