Nonextensive Nambu Jona-Lasinio model of QCD matter revisited

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.

16 pages, 18 figures minor revision, to be published in EPJA

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• Excitation Functions of Tsallis-like Parameters in High-Energy Nucleus-Nucleus Collisions
• Phase structure of NJL model with weak renormalization group
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Analyzing transverse momentum spectra by a new method in high-energy collisions
• Phase transition for the system of small volume in the ${\varphi }^4$ theory in the Tsallis nonextensive statistics
• Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics
• An example of the interplay of nonextensivity and dynamics in the description of QCD matter
• Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
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• An energy independent scaling of transverse momentum spectra of direct (prompt) photons from two-body processes in high-energy proton-proton collisions
• An NJL model analysis of a magnetised nonextensive QCD medium
• Dynamical nonextensivity or nonextensive dynamics?
• Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
• Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
• Effects of Tsallis distribution on parametric resonance in chiral phase transitions
• Nonextensive quasiparticle description of QCD matter
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model