Abstract
Using a simple quasi-particle model of QCD matter, presented some time ago in the literature, in which interactions are modelled by some effective fugacities z, we investigate the interplay between the dynamical content of fugacities z and effects induced by nonextensivity in situations when this model is used in a nonextensive environment characterized by some nonextensive parameter q $\neq$ 1 (for the usual extensive case q=1). This allows for a better understanding of the role of nonextensivity in the more complicated descriptions of dense hadronic and QCD matter recently presented (in which dynamics is defined by a lagrangian, the form of which is specific to a given model).
Highlights
Dense hadronic or QCD matter is typically produced in a nonextensive environment, i.e., in situations where the application of the usual Boltzmann-Gibbs statistics is questionable
To check the sensitivity of the quasiparticle approach to the nonextensive environment characterized by nonextensivity parameter q we use, as our input, results for the scaled temperature dependence of the fugacities, z(i) = z(i)(τ ), obtained in [21] in the usual extensive environment from their fits to the lattice QCD results presented in [26]
The quasiparticle model [21,22,23,24,25] used here as the basis of our comparison allows for apparently maximal possible separation of effects of the usual dynamics from the effects caused by the nonextensive environment
Summary
Dense hadronic or QCD matter is typically produced in a nonextensive environment, i.e., in situations where the application of the usual Boltzmann-Gibbs statistics is questionable (cf. [1,2,3,4,5] and references therein for details). Since in the all above mentioned models the interaction is defined by some form of a more or less complicated Lagrangian, this is not a simple task because particles considered acquire some dynamical masses which implicitly depend (usually in a very complicated manner) on the nonextensivity parameter q [10]. It would be interesting and instructive to demonstrate the sensitivity of the calculational scheme used to the nonextensive environment in a more transparent way.
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