Classical partition function for non-relativistic gravity

We considered the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e−βHZ. It is popularly thought that it cannot be built up because the integral involved in constructing Z diverges at the origin. Contrariwise, it was shown in (Physica A 497...

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Autores principales:	Hameeda, Mir, Plastino, Ángel Luis, Rocca, Mario Carlos, Zamora, Javier
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2021
Materias:	Física Partition functions Analytical extensions Guelfand’s and gradshteyn’s Classical gravity
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/125411 https://www.mdpi.com/2075-1680/10/2/121
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-125411
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Partition functions Analytical extensions Guelfand’s and gradshteyn’s Classical gravity
spellingShingle	Física Partition functions Analytical extensions Guelfand’s and gradshteyn’s Classical gravity Hameeda, Mir Plastino, Ángel Luis Rocca, Mario Carlos Zamora, Javier Classical partition function for non-relativistic gravity
topic_facet	Física Partition functions Analytical extensions Guelfand’s and gradshteyn’s Classical gravity
description	We considered the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e−βHZ. It is popularly thought that it cannot be built up because the integral involved in constructing Z diverges at the origin. Contrariwise, it was shown in (Physica A 497 (2018) 310), by appeal to sophisticated mathematics developed in the second half of the last century, that this is not so. Z can indeed be computed by recourse to (A) the analytical extension treatments of Gradshteyn and Rizhik and Guelfand and Shilov, that permit tackling some divergent integrals and (B) the dimensional regularization approach. Only one special instance was discussed in the above reference. In this work, we obtain the classical partition function for Newton’s gravity in the four cases that immediately come to mind.
format	Articulo Articulo
author	Hameeda, Mir Plastino, Ángel Luis Rocca, Mario Carlos Zamora, Javier
author_facet	Hameeda, Mir Plastino, Ángel Luis Rocca, Mario Carlos Zamora, Javier
author_sort	Hameeda, Mir
title	Classical partition function for non-relativistic gravity
title_short	Classical partition function for non-relativistic gravity
title_full	Classical partition function for non-relativistic gravity
title_fullStr	Classical partition function for non-relativistic gravity
title_full_unstemmed	Classical partition function for non-relativistic gravity
title_sort	classical partition function for non-relativistic gravity
publishDate	2021
url	http://sedici.unlp.edu.ar/handle/10915/125411 https://www.mdpi.com/2075-1680/10/2/121
work_keys_str_mv	AT hameedamir classicalpartitionfunctionfornonrelativisticgravity AT plastinoangelluis classicalpartitionfunctionfornonrelativisticgravity AT roccamariocarlos classicalpartitionfunctionfornonrelativisticgravity AT zamorajavier classicalpartitionfunctionfornonrelativisticgravity
bdutipo_str	Repositorios
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Classical partition function for non-relativistic gravity

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