Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field

Abstract

We study the time evolution of the chirality imbalance $n_5$ and the chiral magnetic effect (CME) under the external parallel electromagnetic fields without assuming the artificial chiral asymmetric source. We adopt the time-dependent Sauter-type electric and constant magnetic field, and obtain analytical solutions of the Dirac equation for a massive fermion. We use the point-split regularization to calculate the vacuum contribution in the gauge invariant way. As a result, we find that $n_5$ and CME current increase substantially as the electric field increases, and stay finite after the electric field is switched off. The chirality imbalance and CME current are shown to consist of a dominant contribution, which is essentially proportional to relativistic velocity, and a small oscillating part. We find a simple analytical relation between $n_5$ and the fermion pair-production rate from the vacuum. We also discuss dynamical origin of the chirality imbalance in detail.

arXiv comment29 pages, 6 figures, revised version is accepted for publication in Phys.Rev.D

References in corpus (28)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral magnetic effect in ZrTe5
• Hydrodynamics with Triangle Anomalies
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Electromagnetic Response of Weyl Semimetals
• Notes on Anomaly Induced Transport
• Topologically induced local P and CP violation in QCD x QED
• Schwinger mechanism revisited
• Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model
• Generalized Bloch theorem and chiral transport phenomena
• Dynamical view of pair creation in uniform electric and magnetic fields
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Absence of equilibrium chiral magnetic effect
• Chiral magnetic effect and anomalous transport from real-time lattice simulations
• Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
• Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
• Wigner function and pair production in parallel electric and magnetic fields
• Dynamics of the Chiral Magnetic Effect in a weak magnetic field
• On chiral magnetic effect and holography
• Finite pulse effects on $e^{+}{e}^{-}$ pair creation from strong electric fields
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• Chiral Magnetic Effect in a Lattice Model
• Chiral magnetic effect for chiral fermion system
• Point-splitting regularization of composite operators and anomalies
• Lattice Quantum Monte Carlo Study of Chiral Magnetic Effect in Dirac Semimetals

Cited by in corpus (4)

• Advances in QED with intense background fields
• Evolution of chirality in a multiphoton pair production process
• Chiral anomaly in a (1+1)-dimensional Floquet system under high-frequency electric fields
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature