Two-point functions from chiral kinetic theory in magnetized plasma

TL;DR

This paper investigates two-point functions in magnetized chiral plasma using chiral kinetic theory, revealing density waves related to the chiral magnetic wave and deriving constitutive relations consistent with anomalies and Onsager relations.

Contribution

It provides a detailed analysis of response functions in magnetized chiral plasma, explicitly connecting anomaly-induced effects with correlators and effective actions.

Findings

Density waves of electric and axial charges in magnetized plasma

Derivation of constitutive relations involving density waves

Verification of derivative symmetry and Onsager relations

Abstract

We study the two-point functions from chiral kinetic theory which characterize the response to perturbative vector and axial gauge fields in magnetized chiral plasma. In the lowest Landau level approximation, the solution of chiral kinetic equations gives density waves of electric and axial charges, which contain chiral magnetic wave implied by the axial anomaly and magnetic field. We then obtain the constitutive relations for covariant currents and stress tensor that involving the density waves. By considering the difference between consistent and covariant anomalies explicitly, the correlators of consistent currents and stress tensor satisfy derivative symmetry, and therefore allow an effective action for the perturbative gauge fields as the generating functional of the correlators. We also verify the derivative symmetry of the correlators agrees with the Onsager relations.