Gravitation in terms of observables 2: the algebra of fundamental observables
Resumen:
In a previous paper, we showed how to use the techniques of the group of loops to formulate the loop approach to gravity proposed by Mandelstam in the 1960's. Those techniques allow to overcome some of the difficulties that had been encountered in the earlier treatment. In this approach, gravity is formulated entirely in terms of Dirac observables without constraints, opening attractive new possibilities for quantization. In this paper we discuss the Poisson algebra of the resulting Dirac observables, associated with the intrinsic components of the Riemann tensor. This provides an explicit realization of the non-local algebra of observables for gravity that several authors have conjectured.
| 2020 | |
| ANII: FCE_1_2019_1_155865 | |
|
Mandelstam Path dependent Observables |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/31790 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522790370181120 |
|---|---|
| author | Gambini, Rodolfo H. |
| author2 | Rastgoo, Saeed Pullin, J. |
| author2_role | author author |
| author_facet | Gambini, Rodolfo H. Rastgoo, Saeed Pullin, J. |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Gambini Rodolfo H., Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física. Rastgoo Saeed Pullin J. |
| dc.creator.none.fl_str_mv | Gambini, Rodolfo H. Rastgoo, Saeed Pullin, J. |
| dc.date.accessioned.none.fl_str_mv | 2022-06-01T17:03:14Z |
| dc.date.available.none.fl_str_mv | 2022-06-01T17:03:14Z |
| dc.date.issued.none.fl_str_mv | 2020 |
| dc.description.abstract.none.fl_txt_mv | In a previous paper, we showed how to use the techniques of the group of loops to formulate the loop approach to gravity proposed by Mandelstam in the 1960's. Those techniques allow to overcome some of the difficulties that had been encountered in the earlier treatment. In this approach, gravity is formulated entirely in terms of Dirac observables without constraints, opening attractive new possibilities for quantization. In this paper we discuss the Poisson algebra of the resulting Dirac observables, associated with the intrinsic components of the Riemann tensor. This provides an explicit realization of the non-local algebra of observables for gravity that several authors have conjectured. |
| dc.description.es.fl_txt_mv | Versión permitida: preprint |
| dc.description.sponsorship.none.fl_txt_mv | ANII: FCE_1_2019_1_155865 |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Gambini, R, Rastgoo, S y Pullin, J. "Gravitation in terms of observables 2: the algebra of fundamental observables" [Preprint]. Publicado en: Classical and Quantum Gravity, 2020, 37(14): 145013 DOI: 10.1088/1361-6382/ab8eb8 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/31790 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.en.fl_str_mv | Mandelstam Path dependent Observables |
| dc.title.none.fl_str_mv | Gravitation in terms of observables 2: the algebra of fundamental observables |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Versión permitida: preprint |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_7020046e2d7463666c0cb40b25b862a0 |
| identifier_str_mv | Gambini, R, Rastgoo, S y Pullin, J. "Gravitation in terms of observables 2: the algebra of fundamental observables" [Preprint]. Publicado en: Classical and Quantum Gravity, 2020, 37(14): 145013 DOI: 10.1088/1361-6382/ab8eb8 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/31790 |
| publishDate | 2020 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Gambini Rodolfo H., Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Rastgoo SaeedPullin J.2022-06-01T17:03:14Z2022-06-01T17:03:14Z2020Gambini, R, Rastgoo, S y Pullin, J. "Gravitation in terms of observables 2: the algebra of fundamental observables" [Preprint]. Publicado en: Classical and Quantum Gravity, 2020, 37(14): 145013 DOI: 10.1088/1361-6382/ab8eb8https://hdl.handle.net/20.500.12008/31790Versión permitida: preprintIn a previous paper, we showed how to use the techniques of the group of loops to formulate the loop approach to gravity proposed by Mandelstam in the 1960's. Those techniques allow to overcome some of the difficulties that had been encountered in the earlier treatment. In this approach, gravity is formulated entirely in terms of Dirac observables without constraints, opening attractive new possibilities for quantization. In this paper we discuss the Poisson algebra of the resulting Dirac observables, associated with the intrinsic components of the Riemann tensor. This provides an explicit realization of the non-local algebra of observables for gravity that several authors have conjectured.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-06-01T17:02:22Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6382ab8eb8.pdf: 204346 bytes, checksum: bc3f47df365aacb55caae002d0957548 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-06-01T17:02:57Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6382ab8eb8.pdf: 204346 bytes, checksum: bc3f47df365aacb55caae002d0957548 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-06-01T17:03:14Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 10.10881361-6382ab8eb8.pdf: 204346 bytes, checksum: bc3f47df365aacb55caae002d0957548 (MD5) Previous issue date: 2020ANII: FCE_1_2019_1_155865application/pdfenengLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)MandelstamPath dependentObservablesGravitation in terms of observables 2: the algebra of fundamental observablesPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGambini, Rodolfo H.Rastgoo, SaeedPullin, J.LICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/31790/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/31790/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Gravitation in terms of observables 2: the algebra of fundamental observables Gambini, Rodolfo H. Mandelstam Path dependent Observables |
| status_str | submittedVersion |
| title | Gravitation in terms of observables 2: the algebra of fundamental observables |
| title_full | Gravitation in terms of observables 2: the algebra of fundamental observables |
| title_fullStr | Gravitation in terms of observables 2: the algebra of fundamental observables |
| title_full_unstemmed | Gravitation in terms of observables 2: the algebra of fundamental observables |
| title_short | Gravitation in terms of observables 2: the algebra of fundamental observables |
| title_sort | Gravitation in terms of observables 2: the algebra of fundamental observables |
| topic | Mandelstam Path dependent Observables |
| url | https://hdl.handle.net/20.500.12008/31790 |
