Tsallis statistics and thermofractals: applications to high energy and hadron physics

TL;DR

This paper explores the use of Tsallis non-extensive statistics in high energy and hadron physics, connecting it with thermofractals and fractal structures in quantum field theory to analyze phenomena like $pp$ collisions and QCD properties.

Contribution

It introduces a novel connection between Tsallis statistics and thermofractals, providing a fractal-based framework for understanding high energy physics phenomena.

Findings

Application of Tsallis statistics to $pp$ collisions and QCD equations of state.

Establishment of links between fractal structures and quantum field theory concepts.

Insights into Bose-Einstein condensation within the fractal and non-extensive statistical context.

Abstract

We study the applications of non-extensive Tsallis statistics to high energy and hadron physics. These applications include studies of $pp$ collisions, equation of state of QCD, as well as Bose-Einstein condensation. We also analyze the connections of Tsallis statistics with thermofractals, and address some of the conceptual aspects of the fractal approach, which are expressed in terms of the renormalization group equation and the self-energy corrections to the parton mass. We associate these well-known concepts with the origins of the fractal structure in the quantum field theory.