Nonextensive effects in the Nambu--Jona-Lasinio model of QCD

Abstract

We present a nonextensive version of the recently discussed QCD-based Nambu - Jona-Lasinio (NJL) model of many-body field theory describing behavior of strongly interacting matter. It is based on the nonextensive generalization of the Boltzmann-Gibbs (BG) statistical mechanics used in NJL model, which was taken in the form proposed by Tsallis and characterized by a dimensionless nonextensivity parameter q (for q -> 1 one recovers the usual BG case). This is a new phenomenological parameter of the model which accounts summarily for all possible (so far unspecified) effects leading to departure from the conditions required by the usual BG approach to be fully applicable. It turns out that temperature dependencies of chiral symmetry restoration, masses of pion and sigma meson and characteristic features of spinodal decomposition are sensitive to the departures from the usual BG case.

accepted in J. Phys. G

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• Equivalence of volume and temperature fluctuations in power-law ensembles
• Analyzing transverse momentum spectra by a new method in high-energy collisions
• Effects of the temperature and magnetic-field dependent coupling on the properties of QCD matter
• An energy independent scaling of transverse momentum spectra of direct (prompt) photons from two-body processes in high-energy proton-proton collisions
• Nonextensive lattice gauge theories: algorithms and methods
• An NJL model analysis of a magnetised nonextensive QCD medium
• QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model