Relativistic Chiral Kinetic Theory from Quantum Field Theories

Abstract

The chiral kinetic theory of Weyl fermions with collisions in the presence of weak electric and magnetic fields is derived from quantum field theories. It is found that the side-jump terms in the perturbative solution of Wigner functions play a significant role for the derivation. Moreover, such terms manifest the breaking of Lorentz symmetry for distribution functions. The Lorentz covariance of Wigner functions thus leads to modified Lorentz transformation associated with side-jump phenomena further influenced by background fields and collisions.

6 pages, journal version, accepted by PRD rapid communication

References in corpus (12)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Chiral Magnetic conductivity
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Lorentz Invariance in Chiral Kinetic Theory
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• The chiral magnetic effect in hydrodynamical approach
• Collisions in Chiral Kinetic Theory
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• A consistent description of kinetic equation with triangle anomaly

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