An NJL model analysis of a magnetised nonextensive QCD medium

We investigate the effect of a background magnetic field when applied to a nonextensive QCD medium in a 2+1 flavour Nambu-Jona-Lasinio model. The effect of a constant as well as an eB-dependent coupling is considered. For the constant coupling, the well-known magnetic catalysis effect is observed with reduced strength in both the condensates and the transition temperatures compared to the standard extensive medium. In the case of a field-dependent coupling, we observe a competition between the nonextensive parameter, q and eB. With sufficiently high q-values, the phenomenon of inverse magnetic catalysis -, a well-known trait in effective models featuring eB-dependent coupling, appears to be eliminated within the range of magnetic fields examined in our present study.