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arXiv · 2311.14420

An NJL model analysis of a magnetised nonextensive QCD medium

Chowdhury Aminul Islam
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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.

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Chowdhury Aminul Islam. 2023-11-24. An NJL model analysis of a magnetised nonextensive QCD medium. https://doi.org/10.1140/epja%2Fs10050-024-01335-1

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