Chiral Magnetic Effect on the Lattice

TL;DR

This paper reviews recent lattice simulation methods for studying the chiral magnetic effect, focusing on two approaches: topological background analysis and chiral chemical potential modeling, advancing toward precise understanding.

Contribution

It compares two lattice simulation approaches for the chiral magnetic effect, highlighting progress toward more accurate and direct analysis methods.

Findings

Both approaches are developing toward exact analysis.

Progress in measuring induced currents and charge distributions.

Enhanced understanding of topological effects on the lattice.

Abstract

We review recent progress on the lattice simulations of the chiral magnetic effect. There are two different approaches to analyze the chiral magnetic effect on the lattice. In one approach, the charge density distribution or the current fluctuation is measured under a topological background of the gluon field. In the other approach, the topological effect is mimicked by the chiral chemical potential, and the induced current is directly measured. Both approaches are now developing toward the exact analysis of the chiral magnetic effect.