Chiral kinetic theory from Landau level basis

TL;DR

This paper develops a chiral kinetic theory based on Landau levels applicable to slowly varying magnetic fields of any strength, and uses it to analyze electric conductivity in magnetized plasmas, revealing key behaviors at high magnetic fields and frequencies.

Contribution

The paper introduces a novel chiral kinetic theory formulated with Landau level basis, extending its validity to arbitrary magnetic field strengths and dynamic electric fields.

Findings

Transverse conductivity approaches a constant at high magnetic fields.

Conductivity is inversely proportional to relaxation time.

High frequency electric fields enhance transverse conductivity.

Abstract

We derive a chiral kinetic theory with Landau level basis, which is valid for slow-varying magnetic field with arbitrary magnitude. We apply the new chiral kinetic theory to calculate the electric conductivity transverse to the magnetic field in a magnetized QED and QCD plasma. Under the lowest Landau level approximation and relaxation time approximation, we find the transverse conductivity approaches a constant in the large magnetic field limit and is inversely proportional to the relaxation time. We also obtain a frequency-dependent transverse conductivity in response to a time-dependent electric field. We find a high frequency enhancement in this conductivity.