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arXiv · 1708.05893

Dimensional Regularization of Renyi's Statistical Mechanics

A. Plastino·M. C. Rocca
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Abstract

We show that typical Renyi's statistical mechanics' quantifiers exhibit poles. We are referring to the partition function ${\cal Z}$ and the mean energy $<{\cal U}>$. Renyi's entropy is characterized by a real parameter $\alpha$. The poles emerge in a numerable set of rational numbers belonging to the $\alpha-$line. Physical effects of these poles are studied by appeal to dimensional regularization, as usual. Interesting effects are found, as for instance, gravitational ones.

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A. Plastino, M. C. Rocca. 2017-08-19. Dimensional Regularization of Renyi's Statistical Mechanics. https://doi.org/10.1016/j.physa.2018.04.010

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