Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor

Detalhes bibliográficos
Autor(a) principal: Benndorf, D. [UNESP]
Data de Publicação: 2017
Outros Autores: Dalmazi, D. [UNESP], Dos Santos, A. L.R. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1361-6382/aa5995
http://hdl.handle.net/11449/174185
Resumo: There are three families of Lagrangians describing massive spin-2 particles via a general (nonsymmetric) rank-2 tensor. Each of those families depends on an arbitrary real parameter, one of them includes the paradigmatic Fierz-Pauli theory whose Hamiltonian positivity is known and reviewed here. Here we apply the plain Dirac-Bergmann procedure in the two remaining families. We identify all Hamiltonian constraints and prove both positivity of the reduced Hamiltonian and correct counting of degrees of freedom. The positivity of each spin mode contribution is demonstrated by using spin projection operators. The massless cases are also examined. In particular, we prove positivity of the reduced Hamiltonian and correct counting of degrees of freedom of a Weyl invariant description of massless spin-2 particles.
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spelling Hamiltonian positivity of massive spin-2 particles via a rank-2 tensorconstraintsFierz-Paulimassive gravitymassive spin-2There are three families of Lagrangians describing massive spin-2 particles via a general (nonsymmetric) rank-2 tensor. Each of those families depends on an arbitrary real parameter, one of them includes the paradigmatic Fierz-Pauli theory whose Hamiltonian positivity is known and reviewed here. Here we apply the plain Dirac-Bergmann procedure in the two remaining families. We identify all Hamiltonian constraints and prove both positivity of the reduced Hamiltonian and correct counting of degrees of freedom. The positivity of each spin mode contribution is demonstrated by using spin projection operators. The massless cases are also examined. In particular, we prove positivity of the reduced Hamiltonian and correct counting of degrees of freedom of a Weyl invariant description of massless spin-2 particles.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNESP - Campus de Guaratinguet� - DFQ, Avenida Dr. Ariberto Pereira da CunhaUNESP - Campus de Guaratinguet� - DFQ, Avenida Dr. Ariberto Pereira da CunhaUniversidade Estadual Paulista (Unesp)Benndorf, D. [UNESP]Dalmazi, D. [UNESP]Dos Santos, A. L.R. [UNESP]2018-12-11T17:09:44Z2018-12-11T17:09:44Z2017-01-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1088/1361-6382/aa5995Classical and Quantum Gravity, v. 34, n. 4, 2017.1361-63820264-9381http://hdl.handle.net/11449/17418510.1088/1361-6382/aa59952-s2.0-850119502882-s2.0-85011950288.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengClassical and Quantum Gravity1,809info:eu-repo/semantics/openAccess2024-07-01T20:52:27Zoai:repositorio.unesp.br:11449/174185Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:05:55.078799Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
title Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
spellingShingle Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
Benndorf, D. [UNESP]
constraints
Fierz-Pauli
massive gravity
massive spin-2
title_short Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
title_full Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
title_fullStr Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
title_full_unstemmed Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
title_sort Hamiltonian positivity of massive spin-2 particles via a rank-2 tensor
author Benndorf, D. [UNESP]
author_facet Benndorf, D. [UNESP]
Dalmazi, D. [UNESP]
Dos Santos, A. L.R. [UNESP]
author_role author
author2 Dalmazi, D. [UNESP]
Dos Santos, A. L.R. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Benndorf, D. [UNESP]
Dalmazi, D. [UNESP]
Dos Santos, A. L.R. [UNESP]
dc.subject.por.fl_str_mv constraints
Fierz-Pauli
massive gravity
massive spin-2
topic constraints
Fierz-Pauli
massive gravity
massive spin-2
description There are three families of Lagrangians describing massive spin-2 particles via a general (nonsymmetric) rank-2 tensor. Each of those families depends on an arbitrary real parameter, one of them includes the paradigmatic Fierz-Pauli theory whose Hamiltonian positivity is known and reviewed here. Here we apply the plain Dirac-Bergmann procedure in the two remaining families. We identify all Hamiltonian constraints and prove both positivity of the reduced Hamiltonian and correct counting of degrees of freedom. The positivity of each spin mode contribution is demonstrated by using spin projection operators. The massless cases are also examined. In particular, we prove positivity of the reduced Hamiltonian and correct counting of degrees of freedom of a Weyl invariant description of massless spin-2 particles.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-31
2018-12-11T17:09:44Z
2018-12-11T17:09:44Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1088/1361-6382/aa5995
Classical and Quantum Gravity, v. 34, n. 4, 2017.
1361-6382
0264-9381
http://hdl.handle.net/11449/174185
10.1088/1361-6382/aa5995
2-s2.0-85011950288
2-s2.0-85011950288.pdf
url http://dx.doi.org/10.1088/1361-6382/aa5995
http://hdl.handle.net/11449/174185
identifier_str_mv Classical and Quantum Gravity, v. 34, n. 4, 2017.
1361-6382
0264-9381
10.1088/1361-6382/aa5995
2-s2.0-85011950288
2-s2.0-85011950288.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Classical and Quantum Gravity
1,809
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129159389511680