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arXiv · 1809.02830

Fractal structure of hadrons and non-extensive statistics

Eugenio Megias·Airton Deppman·Tobias Frederico·Debora P. Menezes
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Abstract

The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Some possible mechanisms that could give rise to non-extensive statistics have been formulated along the last few years, in particular the existence of a fractal structure in thermodynamic functions for hadronic systems. We investigate the properties of such fractal thermodynamical systems, in particular the fractal scale invariance is discussed in terms of the Callan-Symanzik~equation. Finally, we propose a diagrammatic method for calculations of relevant quantities.

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Eugenio Megias, Airton Deppman, Tobias Frederico, Debora P. Menezes. 2018-09-08. Fractal structure of hadrons and non-extensive statistics. https://doi.org/10.1051/epjconf/201819200046

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