Gauge fields renormalization groups and thermofractals
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A. Deppman et al. 2022 J. Gauge fields renormalization groups and thermofractals. Phys.: Conf. Ser. 2340 012017 DOI 10.1088/1742-6596/2340/1/012017
SponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq-Brazil); Project INCT-FNA Proc. No. 464 898/2014-5; FAPESP under grant 2016/17612-7; Project PID2020-114767GB-I00 Financed by MCIN/AEI/10.13039/501100011033; FEDER/Junta de Andalucía-Consejería de Economía y Conocimiento 2014-2020 Operational Programme under Grant A-FQM-178-UGR18; Junta de Andalucía under Grant FQM-225; Consejería de Conocimiento, Investigación y Universidad of the Junta de Andalucía and European Regional Development Fund (ERDF) under Grant SOMM17/6105/UGR; Ramón y Cajal Program of the Spanish MCIN under Grant RYC-2016-20678
The perturbative approach to QCD has shown to be limited, and the difficulties to obtain accurate calculations in the low-energy region seems to be insurmountable. A recent approach uses the fractal structures of Yang-Mills Field Theory to circumvent those difficulties, allowing for the determination of an analytic expression for the running coupling. The results obtained are in agreement with several experimental findings, and explain many of the observed phenomena at high-energy collisions. In this work, we 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 concepts with the origins of the fractal structure in the quantum field theory.