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

References in corpus (12)

• Constraints on the high-density nuclear equation of state from the phenomenology of compact stars and heavy-ion collisions
• Maximum entropy principle and power-law tailed distributions
• Phase transition dynamics for baryon-dense matter
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Modified Hagedorn formula including temperature fluctuation - Estimation of temperatures at RHIC experiments -
• The QCD critical end point in the PNJL model
• Pseudoscalars Mesons in Hot, Dense Matter
• Relativistic Entropy and Related Boltzmann Kinetics
• Nonextensive effects on the relativistic nuclear equation of state
• Dynamical Correlations as Origin of Nonextensive Entropy
• Abstract composition rule for relativistic kinetic energy in the thermodynamical limit
• Non-extensive equilibration in relativistic matter