Axial Anomaly and Chiral Asymmetry in Magnetized Relativistic Matter

TL;DR

This paper investigates how a chiral shift parameter in magnetized relativistic matter influences axial currents and anomalies, with implications for astrophysics and heavy ion collision experiments.

Contribution

It introduces the concept of a chiral shift parameter that affects axial currents without altering the axial anomaly, extending the understanding to gauge theories.

Findings

Chiral shift contributes to axial current density.

Chiral shift does not modify the axial anomaly relation.

Implications for compact stars and heavy ion collisions.

Abstract

The generation of a chiral shift parameter in the normal ground state of magnetized relativistic matter is discussed. The chiral shift contributes to the axial current density, but does not modify the conventional axial anomaly relation. The analysis based on gauge invariant regularization schemes suggests that this finding is also valid in gauge theories. We argue that the chiral shift parameter can affect observable properties of compact stars. In the regime of heavy ion collisions, the chiral shift parameter can modify the key features of the chiral magnetic effect.