Nonextensive Nambu Jona-Lasinio model of QCD matter revisited

TL;DR

This paper revisits a nonextensive QCD NJL model based on Tsallis statistics, ensuring thermodynamic consistency and comparing different entropy formulations to better describe strongly interacting matter.

Contribution

It provides a thermodynamically consistent nonextensive NJL model with detailed analysis of entropy choices, improving upon previous formulations.

Findings

Model achieves thermodynamic consistency.

Different entropy forms are compared and discussed.

Results are contrasted with earlier findings.

Abstract

We present a revisited version of the nonextensive QCD-based Nambu - Jona-Lasinio (NJL) model describing the behavior of strongly interacting matter proposed by us some time ago. As before, it is based on the nonextensive generalization of the Boltzmann-Gibbs (BG) statistical mechanics used in the NJL model to its nonextensive version based on Tsallis statistics, but this time it fulfils the basic requirements of thermodynamical consistency. Different ways in which this can be done, connected with different possible choices of the form of the corresponding nonextensive entropies, are presented and discussed in detail. The corresponding results are compared, discussed and confronted with previous findings.