https://doi.org/10.1051/epjconf/201819200046
Fractal structure of hadrons and non-extensive statistics*
1
Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada,
Avenida de Fuente Nueva s/n, 18071 Granada,
Spain
2
Departamento de Física Teórica, Universidad del País Vasco UPV/EHU,
Apartado 644, 48080 Bilbao,
Spain
3
Instituto de Física, Universidade de São Paulo, Rua do Matão Travessa R Nr. 187, Cidade Universitária,
CEP 05508-090 São Paulo,
Brazil
4
Instituto Tecnológico da Aeronáutica,
12228-900 São José dos Campos,
Brazil
5
Departamento de Física, CFM, Universidade Federal de Santa Catarina,
CP 476, CEP 88040-900 Florianópolis,
Brazil
* Presented by E. Megías at the QCD@Work: International Workshop on QCD, 25-28 June 2018, Matera, Italy.
** e-mail: emegias@ugr.es
*** e-mail: deppman@if.usp.br
**** e-mail: tobias@ita.br
† e-mail: debora.p.m.26@gmail.com
Published online: 14 November 2018
The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Some possible mechanisms that could give rise to non-extensive statistics have been formulated along the last few years, in particular the existence of a fractal structure in thermodynamic functions for hadronic systems. We investigate the properties of such fractal thermodynamical systems, in particular the fractal scale invariance is discussed in terms of the Callan-Symanzik equation. Finally, we propose a diagrammatic method for calculations of relevant quantities.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
