Table of Contents Author Guidelines Submit a Manuscript
Advances in High Energy Physics
Volume 2018, Article ID 9141249, 4 pages
https://doi.org/10.1155/2018/9141249
Research Article

Renormalization Group Equation for Tsallis Statistics

Instituto de Física, Universidade de São Paulo, Rua do Matão Travessa R Nr. 187, Cidade Universitária, 05508-090 São Paulo, SP, Brazil

Correspondence should be addressed to Airton Deppman; rb.psu.fi@nampped

Received 22 November 2017; Revised 22 January 2018; Accepted 6 March 2018; Published 3 April 2018

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2018 Airton Deppman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

The nonextensive statistics proposed by Tsallis has found wide applicability, being present even in the description of experimental data from high energy collisions. A system with a fractal structure in its energy-momentum space, named thermofractal, was shown to be described thermodynamically by the nonextensive statistics. Due to the many common features between thermofractals and Hagedorn’s fireballs, this system offers the possibility of investigating the origins of nonextensivity in hadronic physics and in QCD. In this regard, the investigation of the scaling properties of thermofractals through the renormalization group equation, known as Callan–Symanzik equation, can be an interesting approach.