# Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals

## TL;DR

This study uses lattice quantum Monte Carlo simulations to demonstrate that a nonzero chiral chemical potential enhances dynamical chiral symmetry breaking in Dirac semimetals, acting as a catalyst for the phenomenon.

## Contribution

First lattice QMC simulation showing how chiral chemical potential influences chiral symmetry breaking in Dirac semimetals.

## Key findings

- Chiral chemical potential enhances the chiral condensate.
- Chiral chemical potential acts as a catalyst for symmetry breaking.
- Results confirmed across various parameters.

## Abstract

In this paper we study how dynamical chiral symmetry breaking is affected by nonzero chiral chemical potential in Dirac semimetals. To perform this study we applied lattice quantum Monte Carlo simulations of Dirac semimetals. Within lattice simulation we calculated the chiral condensate for various fermion masses, the chiral chemical potentials and effective coupling constants. For all parameters under consideration we have found that the chiral condensate is enhanced by chiral chemical potential. Thus our results confirms that in Dirac semimetals the chiral chemical potential plays a role of the catalyst of the dynamical chiral symmetry breaking.