Nonrelativistic Transport Theory from Vorticity Dependent Quantum Kinetic Equation

TL;DR

This paper develops a three-dimensional transport theory for massive spin-1/2 fermions based on a vorticity-dependent quantum kinetic equation, incorporating noninertial effects of rotating frames.

Contribution

It introduces a relativistic kinetic equation that yields vorticity-dependent semiclassical transport equations for the 3D Wigner function components, including mass corrections.

Findings

Derived kinetic equations for chiral scalar distribution functions.

Established a 3D kinetic theory accounting for mass effects.

Analyzed vector and axial vector current densities with mass corrections.

Abstract

We study the three-dimensional transport theory of massive spin-1/2 fermions resulting from the vorticity dependent quantum kinetic equation. This quantum kinetic equation has been introduced to take account of noninertial properties of rotating coordinate frames. We show that it is the appropriate relativistic kinetic equation which provides the vorticity dependent semiclassical transport equations of the three-dimensional Wigner function components. We establish the semiclassical kinetic equations of a linearly independent set of components. By means of them, kinetic equations of the chiral scalar distribution functions are derived. They furnish the 3D kinetic theory which permits us to study the vector and axial vector current densities by focusing on the mass corrections to the chiral vortical and separation effects.