Some Field Theoretic Issues Regarding the Chiral Magnetic Effect
Defu Hou, Hui Liu, and Hai-cang Ren
TL;DR
This paper investigates the theoretical foundations of the chiral magnetic effect, focusing on gauge invariance, infrared divergences, and the connection to the axial anomaly in quantum field theory.
Contribution
It clarifies the field theoretic structure of the magnetic current and resolves subtleties in its relation to the axial anomaly, especially regarding infrared behavior.
Findings
Derived a gauge-invariant magnetic current structure
Analyzed the impact of infrared divergences on the effect
Clarified the relation between the chiral magnetic effect and axial anomaly
Abstract
In this paper, we shall address some field theoretic issues regarding the chiral magnetic effect. The general structure of the magnetic current consistent with the electromagnetic gauge invariance is obtained and the impact of the infrared divergence is examined. Some subtleties on the relation between the chiral magnetic effect and the axial anomaly are clarified through a careful examination of the infrared limit of the relevant thermal diagrams.
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