Non-Equilibrium Quantum Transport of Chiral Fluids from Kinetic Theory

TL;DR

This paper derives a quantum-field-theory-based chiral kinetic theory from the Wigner-function approach, analyzing non-equilibrium anomalous transport phenomena in chiral fluids with background fields and collisions.

Contribution

It provides a QFT derivation of CKT incorporating Lorentz covariance, side jumps, and background interactions, advancing understanding of non-equilibrium chiral transport.

Findings

Derived anomalous Hall currents from background electric fields and gradients.

Identified viscous corrections to chiral magnetic and vortical effects.

Analyzed dissipative non-equilibrium responses in chiral fluids.

Abstract

We introduce the quantum-field-theory (QFT) derivation of chiral kinetic theory (CKT) from the Wigner-function approach, which manifests side jumps and non-scalar distribution functions associated with Lorentz covariance and incorporates both background fields and collisions. The formalism is utilized to investigate second-order responses of chiral fluids near local equilibrium. Such non-equilibrium anomalous transport is dissipative and affected by interactions. Contributions from both quantum corrections in anomalous hydrodynamic equations (EOM) of motion and those from the CKT and Wigner functions (WF) are considered in a relaxation-time approximation (RTA). Anomalous charged Hall currents engendered by background electric fields and temperature/chemical-potential gradients are obtained. Furthermore, chiral magnetic/vortical effects (CME/CVE) receive viscous corrections as non-equilibrium modifications stemming from the interplay between side jumps, magnetic-moment coupling, and chiral anomaly.