Abstract
It is shown how nonextensive Nambu-Jona-Lasinio (NJL) calculations in the critical region in the vicinity of phase transition to quark matter allow to determine a nonextensive parameter q from a specific heat capacity Cq.
Highlights
We present a possible extension of the usual relativistic nuclear mean field models widely used to describe nuclear matter towards accounting for the influence of the possible intrinsic fluctuations caused by the environment
Rather than individually identifying their particular causes we concentrate on the fact that such effects can be summarily incorporated in the changing of the statistical background used, from the usual Boltzman-Gibbs (BG) one to the nonextensive taken in the form proposed by Tsallis [1] with a dimensionless nonextensivity parameter q responsible for the above mentioned effects
We illustrate this proposition by the example of the QCD-based Nambu - Jona-Lasinio (NJL) model ([2]) of a many-body field theory describing the behavior of strongly interacting matter using its nonextensive version
Summary
We present a possible extension of the usual relativistic nuclear mean field models widely used to describe nuclear matter towards accounting for the influence of the possible intrinsic fluctuations caused by the environment. We check the sensitivity of the usual NJL model to the departure from BG scenario expressed by the value of |q − 1|, in particular in the vicinity of critical points. The q-statistics is introduced by using the q-form of quantum distributions for fermions - quarks.
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