Fractal structure of Yang-Mills fields
Abstract
The origin of non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Recent results indicate a connection between non-extensive statistics and thermofractals. After reviewing this connection, we analyze how scaling properties of Yang-Mills theory allow the appearance of self-similar structures in gauge fields. The presence of such structures, which actually behave as fractals, allows for recurrent non-perturbative calculations of vertices. It is argued that when a statistical approach is used, the non-extensive statistics is obtained, and the Tsallis entropic index, , is deduced in terms of the field theory parameters. The results are applied to QCD in the one-loop approximation, resulting in a good agreement with the value of obtained experimentally.
Keywords
Cite
@article{arxiv.2002.12667,
title = {Fractal structure of Yang-Mills fields},
author = {Airton Deppman and Eugenio Megias and Debora P. Menezes},
journal= {arXiv preprint arXiv:2002.12667},
year = {2020}
}
Comments
12 pages, 4 figures. Talk given by E.Megias at the 8th International Conference on New Frontiers in Physics (ICNFP 2019), 21-29 Aug 2019, Kolymbari, Crete, Greece