Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1140/epjc/s10052-017-5189-7 http://hdl.handle.net/11449/175238 |
Resumo: | There are two covariant descriptions of massless spin-2 particles in D= 3 + 1 via a symmetric rank-2 tensor: the linearized Einstein–Hilbert (LEH) theory and the Weyl plus transverse diffeomorphism (WTDIFF) invariant model. From the LEH theory one can obtain the linearized new massive gravity (NMG) in D= 2 + 1 via Kaluza–Klein dimensional reduction followed by a dual master action. Here we show that a similar route takes us from the WTDIFF model to a linearized scalar–tensor NMG which belongs to a larger class of consistent spin-0 modifications of NMG. We also show that a traceless master action applied to a parity singlet furnishes two new spin-2 self-dual models. Moreover, we examine the singular replacement hμ ν→ hμ ν- ημ νh/ D and prove that it leads to consistent massive spin-2 models in D= 2 + 1. They include linearized versions of unimodular topologically massive gravity (TMG) and unimodular NMG. Although the free part of those unimodular theories are Weyl invariant, we do not expect any improvement in the renormalizability. Both the linearized K-term (in NMG) and the linearized gravitational Chern–Simons term (in TMG) are invariant under longitudinal reparametrizations δhμ ν= ∂μ∂νζ, which is not a symmetry of the WTDIFF Einstein–Hilbert term. Therefore, we still have one degree of freedom whose propagator behaves like 1 / p2 for large momentum. |
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Repositório Institucional da UNESP |
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spelling |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1There are two covariant descriptions of massless spin-2 particles in D= 3 + 1 via a symmetric rank-2 tensor: the linearized Einstein–Hilbert (LEH) theory and the Weyl plus transverse diffeomorphism (WTDIFF) invariant model. From the LEH theory one can obtain the linearized new massive gravity (NMG) in D= 2 + 1 via Kaluza–Klein dimensional reduction followed by a dual master action. Here we show that a similar route takes us from the WTDIFF model to a linearized scalar–tensor NMG which belongs to a larger class of consistent spin-0 modifications of NMG. We also show that a traceless master action applied to a parity singlet furnishes two new spin-2 self-dual models. Moreover, we examine the singular replacement hμ ν→ hμ ν- ημ νh/ D and prove that it leads to consistent massive spin-2 models in D= 2 + 1. They include linearized versions of unimodular topologically massive gravity (TMG) and unimodular NMG. Although the free part of those unimodular theories are Weyl invariant, we do not expect any improvement in the renormalizability. Both the linearized K-term (in NMG) and the linearized gravitational Chern–Simons term (in TMG) are invariant under longitudinal reparametrizations δhμ ν= ∂μ∂νζ, which is not a symmetry of the WTDIFF Einstein–Hilbert term. Therefore, we still have one degree of freedom whose propagator behaves like 1 / p2 for large momentum.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNESP-Campus de Guaratinguetá-DFQICTP South American Institute for Fundamental Research IFT-UNESPPhysics and Applied Mathematics Unit Indian Statistical Institute, 203 B. T. RoadUNESP-Campus de Guaratinguetá-DFQICTP South American Institute for Fundamental Research IFT-UNESPFAPESP: 2011/11973-4FAPESP: 2016/01343-7CNPq: 307278/2013- 1CNPq: 449806/2014-6Universidade Estadual Paulista (Unesp)Indian Statistical InstituteDalmazi, Denis [UNESP]dos Santos, A. L.R. [UNESP]Ghosh, Subir [UNESP]Mendonça, E. L. [UNESP]2018-12-11T17:14:57Z2018-12-11T17:14:57Z2017-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1140/epjc/s10052-017-5189-7European Physical Journal C, v. 77, n. 9, 2017.1434-60521434-6044http://hdl.handle.net/11449/17523810.1140/epjc/s10052-017-5189-72-s2.0-850297882212-s2.0-85029788221.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal C2,0222,022info:eu-repo/semantics/openAccess2024-07-01T20:52:16Zoai:repositorio.unesp.br:11449/175238Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:33:19.939011Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
title |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
spellingShingle |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 Dalmazi, Denis [UNESP] |
title_short |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
title_full |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
title_fullStr |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
title_full_unstemmed |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
title_sort |
Weyl and transverse diffeomorphism invariant spin-2 models in D= 2 + 1 |
author |
Dalmazi, Denis [UNESP] |
author_facet |
Dalmazi, Denis [UNESP] dos Santos, A. L.R. [UNESP] Ghosh, Subir [UNESP] Mendonça, E. L. [UNESP] |
author_role |
author |
author2 |
dos Santos, A. L.R. [UNESP] Ghosh, Subir [UNESP] Mendonça, E. L. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Indian Statistical Institute |
dc.contributor.author.fl_str_mv |
Dalmazi, Denis [UNESP] dos Santos, A. L.R. [UNESP] Ghosh, Subir [UNESP] Mendonça, E. L. [UNESP] |
description |
There are two covariant descriptions of massless spin-2 particles in D= 3 + 1 via a symmetric rank-2 tensor: the linearized Einstein–Hilbert (LEH) theory and the Weyl plus transverse diffeomorphism (WTDIFF) invariant model. From the LEH theory one can obtain the linearized new massive gravity (NMG) in D= 2 + 1 via Kaluza–Klein dimensional reduction followed by a dual master action. Here we show that a similar route takes us from the WTDIFF model to a linearized scalar–tensor NMG which belongs to a larger class of consistent spin-0 modifications of NMG. We also show that a traceless master action applied to a parity singlet furnishes two new spin-2 self-dual models. Moreover, we examine the singular replacement hμ ν→ hμ ν- ημ νh/ D and prove that it leads to consistent massive spin-2 models in D= 2 + 1. They include linearized versions of unimodular topologically massive gravity (TMG) and unimodular NMG. Although the free part of those unimodular theories are Weyl invariant, we do not expect any improvement in the renormalizability. Both the linearized K-term (in NMG) and the linearized gravitational Chern–Simons term (in TMG) are invariant under longitudinal reparametrizations δhμ ν= ∂μ∂νζ, which is not a symmetry of the WTDIFF Einstein–Hilbert term. Therefore, we still have one degree of freedom whose propagator behaves like 1 / p2 for large momentum. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-09-01 2018-12-11T17:14:57Z 2018-12-11T17:14:57Z |
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/10.1140/epjc/s10052-017-5189-7 European Physical Journal C, v. 77, n. 9, 2017. 1434-6052 1434-6044 http://hdl.handle.net/11449/175238 10.1140/epjc/s10052-017-5189-7 2-s2.0-85029788221 2-s2.0-85029788221.pdf |
url |
http://dx.doi.org/10.1140/epjc/s10052-017-5189-7 http://hdl.handle.net/11449/175238 |
identifier_str_mv |
European Physical Journal C, v. 77, n. 9, 2017. 1434-6052 1434-6044 10.1140/epjc/s10052-017-5189-7 2-s2.0-85029788221 2-s2.0-85029788221.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
European Physical Journal C 2,022 2,022 |
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 |
|
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1808128826010501120 |