Tsallis statistics, fractals and QCD
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, q, is deduced in terms of the field theory parameters, resulting in a good agreement with the value obtained experimentally.
- Publication:
-
Nuclear and Particle Physics Proceedings
- Pub Date:
- July 2021
- DOI:
- arXiv:
- arXiv:2011.09134
- Bibcode:
- 2021NPPP..312..166D
- Keywords:
-
- Tsallis statistics;
- pp collisions;
- hadron physics;
- quark-gluon plasma;
- thermofractals;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory;
- Nuclear Theory
- E-Print:
- 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