Chiral phase transition and Schwinger mechanism in a pure electric field

Abstract

We systematically study the chiral symmetry breaking and restoration in the presence of a pure electric field in the Nambu--Jona-Lasinio (NJL) model at finite temperature and baryon chemical potential. In addition, we also study the effect of the chiral phase transition on the charged pair production due to the Schwinger mechanism. For these purposes, a general formalism for parallel electric and magnetic fields is developed at finite temperature and chemical potential for the first time. In the pure electric field limit $B\to 0$, we compute the order parameter, the transverse-to-longitudinal ratio of the Goldstone mode velocities, and the Schwinger pair production rate as functions of the electric field. The inverse catalysis effect of the electric field to chiral symmetry breaking is recovered. And the Goldstone mode is find to disperse anisotropically such that the transverse velocity is always smaller than the longitudinal one, especially at nonzero temperature and baryon chemical potential. As expected, the quark-pair production rate is greatly enhanced by the chiral symmetry restoration.

References in corpus (14)

• The Chiral Magnetic Effect
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Quantum Anomalies in Dense Matter
• Inverse magnetic catalysis in dense holographic matter
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• The chiral condensate in a constant electromagnetic field
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Electric Fields and Chiral Magnetic Effect in Cu + Au Collisions
• Chiral electric separation effect in the quark-gluon plasma
• Charge-dependent directed flow in asymmetric nuclear collisions
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Lattice QCD with strong external electric fields
• Possible observables for the chiral electric separation effect in Cu + Au collisions

Cited by in corpus (17)

• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• Quark Matter in a Parallel Electric and Magnetic Field Background: Chiral Phase Transition and Equilibration of Chiral Density
• The influence of chiral chemical potential, parallel electric and magnetic fields on the critical temperature of QCD
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Nambu--Jona-Lasinio model in a parallel electromagnetic field
• Competition between magnetic catalysis effect and chiral rotation effect
• Schwinger mechanism in the SU(3) Nambu--Jona-Lasinio model with an electric field
• The electromagnetic field effects in in-out and in-in formalisms
• Quark matter under strong electric fields in the Linear Sigma Model coupled with quarks
• Effect of momentum anisotropy on quark matter in the quark-meson model
• Chiral symmetry breaking in a semi-localized magnetic field
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
• Spinning Pairs: Supporting ${}^3{P}_0$ Quark-Pair Creation from Landau Gauge Green's Functions
• Correlations and fluctuations in a magnetized three-flavor PNJL model with and without inverse magnetic catalysis effect
• Stationary States for Fermions in an External Electric Field
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields