Fractal structure of Yang-mills fields

Autor(es)

Deppman, Airton ^[1] ; Megias, Eugenio ^{[2, 3]} ; Menezes, Debora P. ^[4]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA SCRIPTA; v. 95, n. 9 SEP 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/17612-7 - Dinâmica de sistemas de muitos corpos IV
• Beneficiário: Arnaldo Gammal
• Modalidade de apoio: Auxílio à Pesquisa - Temático