Dimensional regularization of Renyi’s statistical mechanics

A. Plastino, M.C. Rocca and G.L. Ferri

Physica A: Statistical Mechanics and its Applications, 2018, vol. 505, issue C, 794-804

Abstract: We show that typical Renyi’s statistical mechanics’ quantifiers exhibit poles. We are referring to the partition function Z and the mean energy 〈U〉. Renyi’s entropy is characterized by a real parameter α. The poles emerge in a numerable set of rational numbers belonging to the α-line. Physical effects of these poles are studied by appeal to dimensional regularization, as usual. Interesting effects are found, as for instance, gravitational ones. In particular, negative specific heats.

Keywords: Renyi entropy; Divergences; Dimensional regularization; Specific heat (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:505:y:2018:i:c:p:794-804

DOI: 10.1016/j.physa.2018.04.010

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