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

Abstract

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.