Thermo-magnetic properties of the strong coupling in the local Nambu–Jona-Lasinio model
We study the thermo-magnetic behavior of the strong coupling constant and quark mass entering the Nambu-Jona-Lasinio model. The behavior of the quark condensate as function of magnetic field strength and temperature is also obtained and confronted with lattice QCD results. We find that for temperatures above the chiral/deconfinement phase transitions, where the condensate decreases monotonically with increasing field, the coupling also decreases monotonically. For temperatures below the transition temperature we find that the coupling initially grows and then decreases with increasing field strength. We consider this turnover behavior as a key element in the behavior of the quark condensate above the transition temperature. Hence, it allows for an understanding of the inverse magnetic catalysis phenomenon.