Nonextensive critical effects in the Nambu--Jona-Lasinio model

TL;DR

This paper explores how nonextensive statistics, characterized by a parameter q, influence the critical behavior and phase transition region in the Nambu-Jona-Lasinio model, extending traditional mean-field analysis.

Contribution

It introduces a nonextensive version of the NJL model to incorporate fluctuations and long-range effects in critical phenomena analysis.

Findings

Nonextensive parameter q affects the critical temperature and chemical potential regions.

The model captures effects beyond mean-field approximations.

Critical behavior is modified by nonextensive statistics.

Abstract

The critical phenomena in strongly interaction matter are generally investigated using the mean-field model and are characterized by well defined critical exponents. However, such models provide only average properties of the corresponding order parameters and neglect altogether their possible fluctuations. Also the possible long range effect are neglected in the mean field approach. Here we investigate the critical behavior in the nonextensive version of the Nambu Jona-Lasinio model (NJL). It allows to account for such effects in a phenomenological way by means of a single parameter $q$, the nonextensivity parameter. In particular, we show how the nonextensive statistics influence the region of the critical temperature and chemical potential in the NJL mean field approach.