Non-extensive distributions for a relativistic Fermi Gas

TL;DR

This paper discusses the application of non-extensive statistical distributions to relativistic Fermi gases, focusing on their physical implications in dense nuclear matter and quark matter models.

Contribution

It analyzes different methods of incorporating non-extensive distributions in relativistic many-body systems with particles and antiparticles, highlighting their physical consequences.

Findings

Different non-extensive distribution methods lead to distinct physical predictions.

The approach impacts the understanding of dense nuclear and quark matter.

Physical implications depend on the specific non-extensive formalism used.

Abstract

Recently the non-extensive approach has been used in a variety of ways to describe dense nuclear matter. They differ in the methods of introducing the appropriate non-extensive single particle distributions inside a relativistic many-body system, in particular when one has to deal both with particles and antiparticles, as in the case of quark matter exemplified in the NJL approach. I present and discuss in detail the physical consequences of the methods used so far, which should be recognized before any physical conclusions can be reached from the results presented.