Renormalization Group Equation for Tsallis Statistics

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 th...

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Main Author: Airton Deppman
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2018/9141249
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author Airton Deppman
author_facet Airton Deppman
author_sort Airton Deppman
collection DOAJ
description 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.
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institution Kabale University
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spelling doaj-art-262398bdbd41437c9b0ca9f8e3aaad6e2025-02-03T06:05:58ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/91412499141249Renormalization Group Equation for Tsallis StatisticsAirton Deppman0Instituto de Física, Universidade de São Paulo, Rua do Matão Travessa R Nr. 187, Cidade Universitária, 05508-090 São Paulo, SP, BrazilThe 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.http://dx.doi.org/10.1155/2018/9141249
spellingShingle Airton Deppman
Renormalization Group Equation for Tsallis Statistics
Advances in High Energy Physics
title Renormalization Group Equation for Tsallis Statistics
title_full Renormalization Group Equation for Tsallis Statistics
title_fullStr Renormalization Group Equation for Tsallis Statistics
title_full_unstemmed Renormalization Group Equation for Tsallis Statistics
title_short Renormalization Group Equation for Tsallis Statistics
title_sort renormalization group equation for tsallis statistics
url http://dx.doi.org/10.1155/2018/9141249
work_keys_str_mv AT airtondeppman renormalizationgroupequationfortsallisstatistics