The Chiral Magnetic Effect

TL;DR

This paper investigates the Chiral Magnetic Effect, where topological charge transitions induce an electromagnetic current in quark-gluon plasma under magnetic fields, highlighting its dependence on various physical parameters.

Contribution

It provides a quantitative analysis of the Chiral Magnetic Effect, modeling the influence of topological charge transitions via a chiral chemical potential and calculating the resulting current.

Findings

Electromagnetic current is generated along magnetic fields due to chirality.

The current magnitude depends on magnetic field strength, chirality, temperature, and baryon chemical potential.

The study offers a theoretical framework for understanding the Chiral Magnetic Effect in quark-gluon plasma.

Abstract

Topological charge changing transitions can induce chirality in the quark-gluon plasma by the axial anomaly. We study the equilibrium response of the quark-gluon plasma in such a situation to an external magnetic field. To mimic the effect of the topological charge changing transitions we will introduce a chiral chemical potential. We will show that an electromagnetic current is generated along the magnetic field. This is the Chiral Magnetic Effect. We compute the magnitude of this current as a function of magnetic field, chirality, temperature, and baryon chemical potential.