Inverse magnetic catalysis for the chiral transition induced by thermo-magnetic effects on the coupling constant

TL;DR

This paper investigates how a magnetic field influences the chiral phase transition temperature by calculating thermo-magnetic corrections to the coupling constant, revealing that the critical temperature decreases with increasing magnetic field.

Contribution

It introduces a model calculating the thermo-magnetic dependence of the coupling constant and demonstrates its effect on lowering the chiral transition temperature.

Findings

Coupling constant decreases with magnetic field strength.

Critical temperature for chiral transition decreases as magnetic field increases.

Thermo-magnetic effects significantly impact phase transition dynamics.

Abstract

We compute the one-loop thermo-magnetic corrections to the self-coupling in a model where charged scalars interact also with a constant magnetic field. The calculation is motivated by the possibility that the critical temperature for the chiral phase transition in a magnetic background can be influenced by the dependence of the coupling constant on the magnetic field. We show that the coupling decreases as a function of the field strength. This functional dependence introduces in turn a correction to the boson masses which causes the critical temperature to decrease as a function of the field strength.