Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance

TL;DR

This study investigates the impact of the anomalous magnetic moment of quarks within the PNJL model under conditions of chiral imbalance, finding that AMM effects are negligible compared to the influence of chiral chemical potential.

Contribution

The paper introduces the inclusion of quark AMM in the PNJL model with chiral imbalance and analyzes its effects on hot, dense magnetized matter, revealing minimal impact of AMM.

Findings

AMM causes marginal enhancement in inverse magnetic catalysis

Chiral chemical potential dominates the behavior of the system

AMM effects remain insignificant even with thermo-magnetic modifications

Abstract

We incorporate the anomalous magnetic moment (AMM) of quarks in the framework of PNJL model to study hot and dense magnetised matter with chiral imbalance. For this purpose, the eigen energy solution of the Dirac equation is obtained in presence of constant background magnetic field and chiral chemical potential (CCP) along with the minimal anomalous magnetic moment interaction of the fermion. Although there is a marginal enhancement in the IMC behaviour of the quark condensate due to the combined effects of AMM and CCP, we find that the overall behaviour of the Polyakov loop and the chiral charge density is dominated by the chiral chemical potential. It is further shown that the AMM effects in presence of CCP remains insignificant even after consideration of thermo-magnetically modified moments.