Dimensional regularization of Renyi’s statistical mechanics

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. Physic...

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Detalles Bibliográficos
Autores principales:	Plastino, Ángel Luis, Rocca, Mario Carlos, Ferri, Gustavo Luis
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2018
Materias:	Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/125268
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-125268
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat
spellingShingle	Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis Dimensional regularization of Renyi’s statistical mechanics
topic_facet	Ciencias Exactas Física Matemática Renyi entropy Divergences Dimensional regularization Specific heat
description	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.
format	Articulo Preprint
author	Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis
author_facet	Plastino, Ángel Luis Rocca, Mario Carlos Ferri, Gustavo Luis
author_sort	Plastino, Ángel Luis
title	Dimensional regularization of Renyi’s statistical mechanics
title_short	Dimensional regularization of Renyi’s statistical mechanics
title_full	Dimensional regularization of Renyi’s statistical mechanics
title_fullStr	Dimensional regularization of Renyi’s statistical mechanics
title_full_unstemmed	Dimensional regularization of Renyi’s statistical mechanics
title_sort	dimensional regularization of renyi’s statistical mechanics
publishDate	2018
url	http://sedici.unlp.edu.ar/handle/10915/125268
work_keys_str_mv	AT plastinoangelluis dimensionalregularizationofrenyisstatisticalmechanics AT roccamariocarlos dimensionalregularizationofrenyisstatisticalmechanics AT ferrigustavoluis dimensionalregularizationofrenyisstatisticalmechanics
bdutipo_str	Repositorios
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Dimensional regularization of Renyi’s statistical mechanics

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