The influence of chiral chemical potential, parallel electric and magnetic fields on the critical temperature of QCD

Abstract

We study the influence of external electric, $E$, and magnetic, $B$, fields parallel to each other, and of a chiral chemical potential, ${\mu }_5$, on the chiral phase transition of Quantum Chromodynamics. Our theoretical framework is a Nambu-Jona-Lasinio model with a contact interaction. Within this model we compute the critical temperature of chiral symmetry restoration, $T_c$, as a function of the chiral chemical potential and field strengths. We find that the fields inhibit and ${\mu }_5$ enhances chiral symmetry breaking, in agreement with previous studies.

11 pages, 7 figures

References in corpus (13)

• The Chiral Magnetic Effect
• Gravitational Anomaly and Transport
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
• The Sphaleron Rate in SU(N) Gauge Theory
• The chiral magnetic effect in hydrodynamical approach
• Notes on chiral hydrodynamics within effective theory approach
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Susceptibility of the QCD vacuum to CP-odd electromagnetic background fields
• The masses of vector mesons in holographic QCD at finite chiral chemical potential

Cited by in corpus (13)

• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Topological susceptibility, divergent chiral density and phase diagram of chirally imbalanced QCD medium at finite temperature
• Causality violation and the speed of sound of hot and dense quark matter in the Nambu--Jona-Lasinio model
• Deconfinement and chiral phase transitions in quark matter with chiral imbalance
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Landau quantization and spin polarization of cold magnetized quark matter
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Charged scalars at finite electric field and temperature in the optimized perturbation theory
• The chiral phase transition and equation of state in the chiral imbalance
• Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities