Tsallis statistics, fractals and QCD Deppman, Airton Megías Fernández, Eugenio Menezes, Debora P. Tsallis statistics PP collisions Hadron physics Quark-gluon plasma Thermofractals The research of A.D. and D.P.M. were funded by the Conselho Nacional de Desenvolvimento Cient ' ifico e Tecnologico (CNPq-Brazil) and by Project INCT-FNA Proc. No. 464898/2014-5, and by FAPESP under grant 2016/17612-7. The work of E.M. is funded by the Spanish MINEICO under Grant FIS2017-85053C2-1-P, by the FEDER Andalucia 2014-2020 Operational Programme under Grant A-FQM-178-UGR18, by Junta de Andaluc ' ia under Grant FQM-225, and by the Consejer ' ia de Conocimiento, Investigacion y Universidad of the Junta de Andalucia and ERDF under Grant SOMM17/6105/UGR. The research of E.M. is also supported by the Ramon y Cajal Program of the Spanish MINEICO under Grant RYC-2016-20678. We study the non-extensive Tsallis statistics and its applications to QCD and high energy physics, and analyze the possible connections of this statistics with a fractal structure of hadrons. Then, we describe how scaling properties of Yang-Mills theories allow the appearance of self-similar structures in gauge fields, which actually behave as fractals. The Tsallis entropic index, q, is deduced in terms of the field theory parameters, resulting in a good agreement with the value obtained experimentally. 2021-10-27T06:41:29Z 2021-10-27T06:41:29Z 2020-11-17 conference output Published version: Airton Deppman, Eugenio Megías, Débora P. Menezes, Tsallis statistics, fractals and QCD, Nuclear and Particle Physics Proceedings, Volumes 312–317, 2021, Pages 166-170, ISSN 2405-6014, [https://doi.org/10.1016/j.nuclphysbps.2021.05.045] http://hdl.handle.net/10481/71121 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ open access Atribución-NoComercial-SinDerivadas 3.0 España Elsevier