Dirac sea and chiral anomaly in the quantum kinetic theory

Abstract

We revisit the chiral anomaly in the quantum kinetic theory in the Wigner function formalism under the background field approximation. Our results show that the chiral anomaly is actually from the Dirac sea or the vacuum contribution in the un-normal-ordered Wigner function. We also demonstrate that this contribution modifies the chiral kinetic equation for antiparticles.

7 pages, Version submitted to PRD

References in corpus (8)

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• Chiral anomaly and local polarization effect from quantum kinetic approach
• Lorentz Invariance in Chiral Kinetic Theory
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Mass Correction to Chiral Kinetic Equations
• Constructing phase space distributions with internal symmetries
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Cited by in corpus (19)

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• Quantum Kinetic Theory for Quantum Electrodynamics
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Second-order Charge Currents and Stress Tensor in Chiral System
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Massless Limit of Transport Theory for Massive Fermions
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Polarization Rotation of Chiral Fermions in Vortical Fluid
• Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Photon Self-energy in Magnetized Chiral Plasma from Kinetic Theory
• Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"
• Chiral Anomaly, Dirac Sea and Berry monopole in Wigner Function Approach
• Anomalous Dynamical Screening of Relativistic Plasma in a Magnetic Field