Lorentz-violating extension of Wigner function formalism and chiral kinetic theory

Abstract

The quantum kinetic equation for the gauge-invariant Wigner function, constructed from spinor fields that obey the Dirac equation modified by CPT and Lorentz symmetry-violating terms, is presented. The equations for the components of the Wigner function in the Clifford algebra basis are accomplished. Focusing on the massless case, an extended semiclassical chiral kinetic theory in the presence of external electromagnetic fields is developed. We calculate the chiral currents and establish the anomalous magnetic and separation effects in a Lorentz-violating background. The chiral anomaly within the context of extended quantum electrodynamics is elucidated. Finally, we derive the semiclassical Lorentz-violating extended chiral transport equation.

arXiv comment10 pages. Discussions and Refs added

References in corpus (27)

• Lorentz-Violating Extension of the Standard Model
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• CPT Violation and the Standard Model
• Charge separation induced by P-odd bubbles in QCD matter
• Stability, Causality, and Lorentz and CPT Violation
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Mass Correction to Chiral Kinetic Equations
• Redefining Spinors in Lorentz-Violating QED
• Chiral conductivities and effective field theory
• Foundations and Applications of Quantum Kinetic Theory
• Lorentz violation in Dirac and Weyl semimetals
• Wigner functions in covariant and single-time formulations
• Relativistic Kinetic Equations for Electromagnetic, Scalar and Pseudoscalar Interactions
• Chiral Anomaly Beyond Lorentz Invariance
• Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory
• Relaxing Lorentz invariance in general perturbative anomalies
• Nonlinear Chiral Plasma Transport in Rotating Coordinates
• On the anomalies in Lorentz-breaking theories
• Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
• Nonrelativistic Transport Theory from Vorticity Dependent Quantum Kinetic Equation