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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fractal structure of Yang-mills fields

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Author(s):
Deppman, Airton [1] ; Megias, Eugenio [2, 3] ; Menezes, Debora P. [4]
Total Authors: 3
Affiliation:
[1] Inst Fis, Rua Matao 1371 Butanta, BR-05580090 Sao Paulo, SP - Brazil
[2] Univ Granada, Dept Fis Atom Mol & Nucl, Ave Fuente Nueva S-N, Granada 18071 - Spain
[3] Univ Granada, Inst Carlos I Fis Teor & Computac, Ave Fuente Nueva S-N, Granada 18071 - Spain
[4] Univ Fed Santa Catarina, CFM, Dept Fis, SC CP 476, BR-88040900 Florianopolis, SC - Brazil
Total Affiliations: 4
Document type: Journal article
Source: PHYSICA SCRIPTA; v. 95, n. 9 SEP 2020.
Web of Science Citations: 0
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,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 ofqobtained experimentally. (AU)

FAPESP's process: 16/17612-7 - Dynamics of many-body systems IV
Grantee:Arnaldo Gammal
Support Opportunities: Research Projects - Thematic Grants