Interesting QFT Problems Tackled in New Fashion

Autores
Plastino, Ángel Luis; Rocca, Mario Carlos
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
It is believed that the canonical gravitational partition function associated with the twobody interacting Newton’s gravitation cannot be constructed because the concomitant integral is exponentially divergent. We showed previously that one can indeed obtain finite gravitational results employing both the Gibbs–Boltzmann distribution and Tsallis’ one, by recourse to the analytical extension treatment and the generalization of Bollini and Giambiagi’s dimensional regularization. We deal here with a model of disc galaxy with a supermassive black hole at its center. Some interesting and coherent results emerge: i—an upper bound in the temperature, ii—the specific heat is negative, iii—the limit of the specific heat when the mass of the black-hole tends to zero is −kB, iv—the third law of thermodynamics is violated, and v—the gravothermal catastrophe is avoided if the number of constituents of a surrounding halo is equal or less than the number of stars in the galaxy.
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Dimensional Regularization Generalization
Electron self energy
Vacuum polarization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/238978
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Interesting QFT Problems Tackled in New FashionPlastino, Ángel LuisRocca, Mario CarlosDimensional Regularization GeneralizationElectron self energyVacuum polarizationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1It is believed that the canonical gravitational partition function associated with the twobody interacting Newton’s gravitation cannot be constructed because the concomitant integral is exponentially divergent. We showed previously that one can indeed obtain finite gravitational results employing both the Gibbs–Boltzmann distribution and Tsallis’ one, by recourse to the analytical extension treatment and the generalization of Bollini and Giambiagi’s dimensional regularization. We deal here with a model of disc galaxy with a supermassive black hole at its center. Some interesting and coherent results emerge: i—an upper bound in the temperature, ii—the specific heat is negative, iii—the limit of the specific heat when the mass of the black-hole tends to zero is −kB, iv—the third law of thermodynamics is violated, and v—the gravothermal catastrophe is avoided if the number of constituents of a surrounding halo is equal or less than the number of stars in the galaxy.Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaScientific Research Publishing2020-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/238978Plastino, Ángel Luis; Rocca, Mario Carlos; Interesting QFT Problems Tackled in New Fashion; Scientific Research Publishing; Journal of High Energy Physics, Gravitation and Cosmology; 6; 4; 8-2020; 590-6082380-43272380-4335CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation?paperid=102192info:eu-repo/semantics/altIdentifier/doi/10.4236/jhepgc.2020.64040info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:46:29Zoai:ri.conicet.gov.ar:11336/238978instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:46:29.577CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Interesting QFT Problems Tackled in New Fashion
title Interesting QFT Problems Tackled in New Fashion
spellingShingle Interesting QFT Problems Tackled in New Fashion
Plastino, Ángel Luis
Dimensional Regularization Generalization
Electron self energy
Vacuum polarization
title_short Interesting QFT Problems Tackled in New Fashion
title_full Interesting QFT Problems Tackled in New Fashion
title_fullStr Interesting QFT Problems Tackled in New Fashion
title_full_unstemmed Interesting QFT Problems Tackled in New Fashion
title_sort Interesting QFT Problems Tackled in New Fashion
dc.creator.none.fl_str_mv Plastino, Ángel Luis
Rocca, Mario Carlos
author Plastino, Ángel Luis
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_role author
author2 Rocca, Mario Carlos
author2_role author
dc.subject.none.fl_str_mv Dimensional Regularization Generalization
Electron self energy
Vacuum polarization
topic Dimensional Regularization Generalization
Electron self energy
Vacuum polarization
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv It is believed that the canonical gravitational partition function associated with the twobody interacting Newton’s gravitation cannot be constructed because the concomitant integral is exponentially divergent. We showed previously that one can indeed obtain finite gravitational results employing both the Gibbs–Boltzmann distribution and Tsallis’ one, by recourse to the analytical extension treatment and the generalization of Bollini and Giambiagi’s dimensional regularization. We deal here with a model of disc galaxy with a supermassive black hole at its center. Some interesting and coherent results emerge: i—an upper bound in the temperature, ii—the specific heat is negative, iii—the limit of the specific heat when the mass of the black-hole tends to zero is −kB, iv—the third law of thermodynamics is violated, and v—the gravothermal catastrophe is avoided if the number of constituents of a surrounding halo is equal or less than the number of stars in the galaxy.
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description It is believed that the canonical gravitational partition function associated with the twobody interacting Newton’s gravitation cannot be constructed because the concomitant integral is exponentially divergent. We showed previously that one can indeed obtain finite gravitational results employing both the Gibbs–Boltzmann distribution and Tsallis’ one, by recourse to the analytical extension treatment and the generalization of Bollini and Giambiagi’s dimensional regularization. We deal here with a model of disc galaxy with a supermassive black hole at its center. Some interesting and coherent results emerge: i—an upper bound in the temperature, ii—the specific heat is negative, iii—the limit of the specific heat when the mass of the black-hole tends to zero is −kB, iv—the third law of thermodynamics is violated, and v—the gravothermal catastrophe is avoided if the number of constituents of a surrounding halo is equal or less than the number of stars in the galaxy.
publishDate 2020
dc.date.none.fl_str_mv 2020-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/238978
Plastino, Ángel Luis; Rocca, Mario Carlos; Interesting QFT Problems Tackled in New Fashion; Scientific Research Publishing; Journal of High Energy Physics, Gravitation and Cosmology; 6; 4; 8-2020; 590-608
2380-4327
2380-4335
CONICET Digital
CONICET
url http://hdl.handle.net/11336/238978
identifier_str_mv Plastino, Ángel Luis; Rocca, Mario Carlos; Interesting QFT Problems Tackled in New Fashion; Scientific Research Publishing; Journal of High Energy Physics, Gravitation and Cosmology; 6; 4; 8-2020; 590-608
2380-4327
2380-4335
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation?paperid=102192
info:eu-repo/semantics/altIdentifier/doi/10.4236/jhepgc.2020.64040
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Scientific Research Publishing
publisher.none.fl_str_mv Scientific Research Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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