English

Fractal structure of hadrons and non-extensive statistics

High Energy Physics - Phenomenology 2018-12-05 v1 Statistical Mechanics Nuclear Theory

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.

Keywords

Cite

@article{arxiv.1809.02830,
  title  = {Fractal structure of hadrons and non-extensive statistics},
  author = {Eugenio Megias and Airton Deppman and Tobias Frederico and Debora P. Menezes},
  journal= {arXiv preprint arXiv:1809.02830},
  year   = {2018}
}

Comments

5 pages, 2 figures. Presented by E.Megias at the QCD@Work: International Workshop on QCD, 25-28 June 2018, Matera, Italy