Fractal structure of Yang-mills fields

被引：6

作者：

Deppman, Airton ^{[1
]}

Megias, Eugenio ^{[2
,3
]}

Menezes, Debora P. ^{[4
]}

机构：

[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

来源：

PHYSICA SCRIPTA | 2020年 / 95卷 / 09期

基金：

巴西圣保罗研究基金会;

关键词：

Yang-Mills theory; non-extensive statistics; thermofractals; quark-gluon plasma; hadron physics; NON-EXTENSIVE THERMODYNAMICS; NONEXTENSIVITY;

D O I：

10.1088/1402-4896/abb0a9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：7

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