Fractal Structures of Yang-Mills Fields and Non Extensive Statistics: Applications to High Energy Physics
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.
Keywords
Cite
@article{arxiv.2008.03236,
title = {Fractal Structures of Yang-Mills Fields and Non Extensive Statistics: Applications to High Energy Physics},
author = {Airton Deppman and Eugenio Megias and Debora P. Menezes},
journal= {arXiv preprint arXiv:2008.03236},
year = {2020}
}
Comments
27 pages, 10 figures; v2 typos corrected, added references. It matches the version published in MDPI Physics. arXiv admin note: text overlap with arXiv:2002.12667