An NJL model analysis of a magnetised nonextensive QCD medium

Abstract

We investigate the effect of a background magnetic field when applied to a nonextensive QCD medium in a $2+1$ flavour Nambu\textemdash 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 \textemdash\, 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.

14 pages, 13 captioned figures, accepted in EPJA

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Cited by in corpus (3)

• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• QCD phase diagram in the $T-eB$ plane for varying pion mass
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD