Dirac Geometric Approach for the Unimodular Holst Action

10 pags. -- MSC: 83C05; 83C10; 37K06; 37K58. -- This article belongs to the Section Mathematical Physics

Detalles Bibliográficos
Autores: Díaz, Bogar, Villaseñor, Eduardo J. S., Zomeño Salas, D.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/358091
Acceso en línea:http://hdl.handle.net/10261/358091
Access Level:acceso abierto
Palabra clave:Unimodular gravity
Holst action
Geometric Dirac algorithm
Hamiltonian formulation
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spelling Dirac Geometric Approach for the Unimodular Holst ActionDíaz, BogarVillaseñor, Eduardo J. S.Zomeño Salas, D.Unimodular gravityHolst actionGeometric Dirac algorithmHamiltonian formulation10 pags. -- MSC: 83C05; 83C10; 37K06; 37K58. -- This article belongs to the Section Mathematical PhysicsWe perform a Hamiltonian analysis of unimodular gravity in its first-order formulation, specifically a modification of the Holst action. In order to simplify the analysis, prior studies on this theory have introduced (for several reasons) additional elements, such as parametrization, complex fields, or considering the Barbero–Immirzi parameter as imaginary. We show that, by using a geometric implementation of the Dirac algorithm, a comprehensive analysis of the theory can be conducted without relying on these additional ingredients. The resulting theory reproduces the behavior of metric unimodular gravity.This work was partially supported by the grants PID2020-116567GB-C22 and CEX2019-000904-S funded by MCIN/AEI/10.13039/501100011033. Bogar Díaz acknowledges support for the CONACYT (México) postdoctoral research fellowship No. 371778 and the CONEX-Plus program funded by Universidad Carlos III de Madrid and the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 801538. E.J.S. Villaseñor is supported by the Madrid Government (Comunidad de Madrid, Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23) and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).Molecular Diversity Preservation InternationalMinisterio de Ciencia e Innovación (España)Consejo Nacional de Ciencia y Tecnología (México)Universidad Carlos III de MadridEuropean CommissionComunidad de MadridConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2024202420242024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/358091reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116567GB-C22info:eu-repo/grantAgreement/EC/H2020/801538http://dx.doi.org/10.3390/math12060890Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3580912026-05-22T06:33:51Z
dc.title.none.fl_str_mv Dirac Geometric Approach for the Unimodular Holst Action
title Dirac Geometric Approach for the Unimodular Holst Action
spellingShingle Dirac Geometric Approach for the Unimodular Holst Action
Díaz, Bogar
Unimodular gravity
Holst action
Geometric Dirac algorithm
Hamiltonian formulation
title_short Dirac Geometric Approach for the Unimodular Holst Action
title_full Dirac Geometric Approach for the Unimodular Holst Action
title_fullStr Dirac Geometric Approach for the Unimodular Holst Action
title_full_unstemmed Dirac Geometric Approach for the Unimodular Holst Action
title_sort Dirac Geometric Approach for the Unimodular Holst Action
dc.creator.none.fl_str_mv Díaz, Bogar
Villaseñor, Eduardo J. S.
Zomeño Salas, D.
author Díaz, Bogar
author_facet Díaz, Bogar
Villaseñor, Eduardo J. S.
Zomeño Salas, D.
author_role author
author2 Villaseñor, Eduardo J. S.
Zomeño Salas, D.
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Consejo Nacional de Ciencia y Tecnología (México)
Universidad Carlos III de Madrid
European Commission
Comunidad de Madrid
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Unimodular gravity
Holst action
Geometric Dirac algorithm
Hamiltonian formulation
topic Unimodular gravity
Holst action
Geometric Dirac algorithm
Hamiltonian formulation
description 10 pags. -- MSC: 83C05; 83C10; 37K06; 37K58. -- This article belongs to the Section Mathematical Physics
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/358091
url http://hdl.handle.net/10261/358091
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116567GB-C22
info:eu-repo/grantAgreement/EC/H2020/801538
http://dx.doi.org/10.3390/math12060890
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Molecular Diversity Preservation International
publisher.none.fl_str_mv Molecular Diversity Preservation International
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
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