Tsallis statistics, fractals and QCD
High Energy Physics - Phenomenology
2020-11-19 v1 High Energy Physics - Theory
Nuclear Theory
Abstract
We study the non-extensive Tsallis statistics and its applications to QCD and high energy physics, and analyze the possible connections of this statistics with a fractal structure of hadrons. Then, we describe how scaling properties of Yang-Mills theories allow the appearance of self-similar structures in gauge fields, which actually behave as fractals. The Tsallis entropic index, , is deduced in terms of the field theory parameters, resulting in a good agreement with the value obtained experimentally.
Keywords
Cite
@article{arxiv.2011.09134,
title = {Tsallis statistics, fractals and QCD},
author = {Airton Deppman and Eugenio Megias and Debora P. Menezes},
journal= {arXiv preprint arXiv:2011.09134},
year = {2020}
}
Comments
6 pages, 4 figures. Talk given by E.Megias at the 23th International Conference in Quantum Chromodynamics (QCD 20), Montpellier, France, 27 - 30 October 2020. arXiv admin note: text overlap with arXiv:2002.12667