Tsallis statistics and thermofractals: applications to high energy and hadron physics Megías Fernández, Eugenio Tsallis statistics PP collisions Hadron physics Quark-gluon plasma Thermofractals Bose-Einstein condensation The work of E.M. is supported by the project PID2020-114767GB-I00 financed by MCIN/AEI/10.13039/501100011033, by the FEDER/Junta de Andalucía-Consejería de Economía y Conocimiento 2014-2020 Operational Program under Grant A-FQM178- UGR18, by Junta de Andalucía under Grant FQM-225, and by the Consejería de Conocimiento, Investigación y Universidad of the Junta de Andalucía and European Regional Development Fund (ERDF) under Grant SOMM17/6105/UGR. The research of E.M. is also supported by the Ramón y Cajal Program of the Spanish MCIN under Grant RYC-2016-20678. A.D., D.P.M. and T.N.dS. are supported by the Project INCT-FNA (Instituto Nacional de Ciencia e Tecnologia - Física Nuclear Aplicada) Proc. No. 464898/2014-5. A.D. is partially supported by the Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq-Brazil), grant 304244/2018-0, by Project INCT- FNA Proc. No. 464 898/2014-5. A.G. is supported by CNPq, Brazil grant PQ 306920/2018-2. AD and AG are supported by FAPESP, Brazil grant 2016/17612-7. V.S.T. is supported by FAEPEX (grant 3258/19), FAPESP (grant 2019/010889-1) and CNPq (grant 306615/2018-5). We study the applications of non-extensive Tsallis statistics to high energy and hadron physics. These applications include studies of pp collisions, equation of state of QCD, as well as Bose-Einstein condensation. We also analyze the connections of Tsallis statistics with thermofractals, and address some of the conceptual aspects of the fractal approach, which are expressed in terms of the renormalization group equation and the self-energy corrections to the parton mass. We associate these well-known concepts with the origins of the fractal structure in the quantum field theory. 2023-07-17T09:13:57Z 2023-07-17T09:13:57Z 2022-01-21 info:eu-repo/semantics/article Published version: Megías Fernández, E. et al. Tsallis statistics and thermofractals: Applications to high energy and hadron physics. International Journal of Modern Physics A (2023) 2341004. [DOI: 10.1142/S0217751X2341004X] https://hdl.handle.net/10481/83800 10.1142/S0217751X2341004X eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional World Scientific