Classical and quantum gravity with fractional operators

26 pags., 1 fig. -- This is a companion article to 2021 Class. Quantum Grav. 38 165006. -- This article is corrected by 2021 Class. Quantum Grav. 38 169601

Detalles Bibliográficos
Autor: Calcagni, Gianluca
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/259521
Acceso en línea:http://hdl.handle.net/10261/259521
Access Level:acceso abierto
Palabra clave:Quantum gravity
Fractional operators
Alternative gravity theories
Multi-fractional spacetimes
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spelling Classical and quantum gravity with fractional operatorsCalcagni, GianlucaQuantum gravityFractional operatorsAlternative gravity theoriesMulti-fractional spacetimes26 pags., 1 fig. -- This is a companion article to 2021 Class. Quantum Grav. 38 165006. -- This article is corrected by 2021 Class. Quantum Grav. 38 169601Following the same steps made for a scalar field in a parallel publication, we propose a class of perturbative theories of quantum gravity based on fractional operators, where the kinetic operator of the graviton is made of either fractional derivatives or a covariant fractional d'Alembertian. The classical action for each theory is constructed and the equations of motion are derived. Unitarity and renormalizability of theories with a fractional d'Alembertian are also considered. We argue that unitarity and power-counting renormalizability never coexist, although in some cases one-loop unitary and finiteness are possible. One of the theories is unitary and infrared-finite and can serve as a ghost-free model with large-scale modifications of general relativity.The author is supported by the I+D Grants FIS2017-86497-C2-2-P and PID2020-118159GBC41 of the Spanish Ministry of Science and Innovation.IOP PublishingAgencia Estatal de Investigación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2022202220212022info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/259521reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2017-86497-C2-2-Phttp://dx.doi.org/10.1088/1361-6382/ac1081Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2595212026-05-22T06:33:51Z
dc.title.none.fl_str_mv Classical and quantum gravity with fractional operators
title Classical and quantum gravity with fractional operators
spellingShingle Classical and quantum gravity with fractional operators
Calcagni, Gianluca
Quantum gravity
Fractional operators
Alternative gravity theories
Multi-fractional spacetimes
title_short Classical and quantum gravity with fractional operators
title_full Classical and quantum gravity with fractional operators
title_fullStr Classical and quantum gravity with fractional operators
title_full_unstemmed Classical and quantum gravity with fractional operators
title_sort Classical and quantum gravity with fractional operators
dc.creator.none.fl_str_mv Calcagni, Gianluca
author Calcagni, Gianluca
author_facet Calcagni, Gianluca
author_role author
dc.contributor.none.fl_str_mv Agencia Estatal de Investigación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Quantum gravity
Fractional operators
Alternative gravity theories
Multi-fractional spacetimes
topic Quantum gravity
Fractional operators
Alternative gravity theories
Multi-fractional spacetimes
description 26 pags., 1 fig. -- This is a companion article to 2021 Class. Quantum Grav. 38 165006. -- This article is corrected by 2021 Class. Quantum Grav. 38 169601
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/259521
url http://hdl.handle.net/10261/259521
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/FIS2017-86497-C2-2-P
http://dx.doi.org/10.1088/1361-6382/ac1081
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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