Quantum Kinetic Equation in the Rotating Frame and Chiral Kinetic Theory

TL;DR

This paper develops a quantum kinetic framework for chiral fluids in rotating frames, incorporating noninertial effects and deriving a covariant chiral transport equation that captures anomalous phenomena like magnetic and vortical effects.

Contribution

It introduces a new semiclassical covariant chiral transport equation in rotating frames, including a Coriolis force term, and demonstrates its consistency with hydrodynamical results.

Findings

Derived chiral currents and energy-momentum tensor consistent with hydrodynamics

Established a three-dimensional semiclassical chiral kinetic theory with Coriolis force

Correctly reproduces magnetic and vortical effects in particle densities

Abstract

A modified quantum kinetic equation which takes account of the noninertial features of rotating frame is proposed. The vector and axial-vector field components of the Wigner function for chiral fluids are worked out in a semiclassical scheme. It is demonstrated that the chiral currents and energy-momentum tensor computed by means of them are consistent with the hydrodynamical results. A new semiclassical covariant chiral transport equation is established by inspecting the equations satisfied by the chiral vector fields. It uniquely provides a new three-dimensional semiclassical chiral kinetic theory possessing a Coriolis force term. The particle number and current densities deduced from this transport equation satisfy the anomalous continuity equation and generate the magnetic and vortical effects correctly.