Inverse catalysis effect of quark anomalous magnetic moment to chiral restoration and deconfinement phase transitions

TL;DR

This paper explores how the quark anomalous magnetic moment influences chiral restoration and deconfinement phase transitions under magnetic fields, revealing an inverse catalysis effect that alters critical temperatures.

Contribution

It introduces a linear-in-B term for quark AMM in a PNJL model, demonstrating its inverse catalysis effect on phase transition critical temperatures.

Findings

Critical temperature decreases with quark AMM at fixed magnetic field.

Critical temperature's dependence on magnetic field varies with quark AMM size.

Phase transition behavior results from competing magnetic catalysis and inverse catalysis effects.

Abstract

The effect of quark anomalous magnetic moment (AMM) to chiral restoration and deconfinement phase transitions under magnetic fields is investigated in a Pauli-Villars regularized PNJL model. A linear-in-$B$ term for quark anomalous magnetic moment is introduced to the Lagrangian density of our model, and it plays the role of inverse catalysis to the phase transitions. With fixed magnetic field, the critical temperature decreases with quark AMM. When fixing quark AMM, the critical temperature increases with magnetic field for a small quark AMM, but decreases with magnetic field for a large quark AMM. The critical temperature of chiral restoration and deconfinement phase transitions is determined by the two competing factors, the catalysis effect of magnetic field and inverse catalysis of quark anomalous magnetic moment.