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

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