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Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics

1
Instituto de Física, Rua do Matão 1371-Butantã, São Paulo-SP, CEP 05580-090, Brazil
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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
3
Departamento de Física, CFM-Universidade Federal de Santa Catarina, Florianópolis, SC-CP. 476-CEP 88.040-900, Brazil
*
Author to whom correspondence should be addressed.
Physics 2020, 2(3), 455-480; https://doi.org/10.3390/physics2030026
Received: 10 August 2020 / Revised: 28 August 2020 / Accepted: 30 August 2020 / Published: 10 September 2020
(This article belongs to the Special Issue Statistical Approaches in High Energy Physics)
In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics, and neutron stars. We review some recent investigations on the power-law distributions arising in high energy physics experiments focusing on a thermodynamic description of the system formed, which could explain the power-law behavior. The possible connections with a fractal structure of hadrons is also discussed. The main objective of the present work is to delineate the state-of-the-art of those studies and show some open issues that deserve more careful investigation. We propose several possibilities to test the theory through analyses of experimental data. View Full-Text
Keywords: Tsallis statistics; pp collisions; hadron physics; quark-gluon plasma; thermofractals Tsallis statistics; pp collisions; hadron physics; quark-gluon plasma; thermofractals
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Deppman, A.; Megías, E.; P. Menezes, D. Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics. Physics 2020, 2, 455-480.

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