Regular Article - Theoretical Physics

Nonextensive Nambu-Jona-Lasinio Model of QCD matter

National Centre for Nuclear Research, Department of Fundamental Research, Hoża 69, 00-681, Warsaw, Poland

^* e-mail: jacek.rozynek@ncbj.gov.pl

Received: 19 November 2015
Accepted: 15 December 2015
Published online: 27 January 2016

Abstract

We present a thermodynamical analysis of the nonextensive, QCD-based, Nambu-Jona-Lasinio (NJL) model of strongly interacting matter in the critical region. It is based on the nonextensive generalization of the Boltzmann-Gibbs (BG) statistical mechanics, used in the NJL model, to its nonextensive version. This can be introduced in different ways, depending on different possible choices of the form of the corresponding nonextensive entropies, which are all presented and discussed in detail. Unlike previous attempts, the present approach fulfils the basic requirements of thermodynamical consistency. The corresponding results are compared, discussed and confronted with previous findings.