Fractal Structures of Yang-Mills Fields and Non Extensive Statistics: Applications to High Energy Physics

TL;DR

This paper reviews recent research on non-extensive Tsallis statistics applied to high energy physics, exploring fractal structures of hadrons and power-law distributions in experimental data, highlighting open issues and future testing possibilities.

Contribution

It provides a comprehensive overview of the application of non-extensive statistics to high energy physics and discusses the potential fractal nature of hadrons.

Findings

Power-law distributions observed in high energy experiments.

Possible fractal structures of hadrons suggested.

Open issues identified for further investigation.

Abstract

In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics, and neutron stars. We review some recent investigations on the power-law distributions arising in high energy physics experiments focusing on a thermodynamic description of the system formed, which~could explain the power-law behavior. The possible connections with a fractal structure of hadrons is also discussed. The main objective of the present work is to delineate the state-of-the-art of those studies and~show some open issues that deserve more careful investigation. We propose several possibilities to test the theory through analyses of experimental data.