Fractal structure of Yang-Mills fields

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 t...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2020-02
Main Authors: Deppman, Airton, Megias, Eugenio, Menezes, Debora P
Format: Article
Language:English
Subjects:
Apexes
Field theory
Fractals
Mathematical analysis
Self-similarity
Yang-Mills fields
Yang-Mills theory
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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, \(q\), 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 \(q\) obtained experimentally.
ISSN:2331-8422