Conformal and non conformal dilaton gravity

The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the broken phase. For a particular value of the coupling the system is classically conformal, and can actually be understood as the group averaging of Einstein-Hilbert’s action und...

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Detalles Bibliográficos
Autores: Álvarez, Enrique, Herrero Valea, Mario, Martin, C. P.
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34572
Acceso en línea:https://hdl.handle.net/20.500.14352/34572
Access Level:acceso abierto
Palabra clave:Models of Quantum Gravity
Conformal and W Symmetry
Anomalies in Field and String Theories
Electromagnetismo
2202 Electromagnetismo
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spelling Conformal and non conformal dilaton gravityÁlvarez, EnriqueHerrero Valea, MarioMartin, C. P.Models of Quantum GravityConformal and W SymmetryAnomalies in Field and String TheoriesElectromagnetismo2202 ElectromagnetismoThe quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the broken phase. For a particular value of the coupling the system is classically conformal, and can actually be understood as the group averaging of Einstein-Hilbert’s action under conformal transformations. Conformal invariance implies a simple Ward identity asserting that the trace of the equation of motion for the graviton is the equation of motion of the scalar field. We perform an explicit one-loop computation to show that the DeWitt effective action is not UV divergent on shell and to find that the Weyl symmetry Ward identity is preserved on shell at that level. We also discuss the fate of this Ward identity at the two-loop level — under the assumption that the two-loop UV divergent part of the effective action can be retrieved from the Goroff-Sagnotti counterterm — and show that its preservation in the renormalized theory requires the introduction of counterterms which exhibit a logarithmic dependence on the dilaton field.SpringerUniversidad Complutense de Madrid20142014-10-2120142014-10-21journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/34572reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/345722026-06-02T12:44:21Z
dc.title.none.fl_str_mv Conformal and non conformal dilaton gravity
title Conformal and non conformal dilaton gravity
spellingShingle Conformal and non conformal dilaton gravity
Álvarez, Enrique
Models of Quantum Gravity
Conformal and W Symmetry
Anomalies in Field and String Theories
Electromagnetismo
2202 Electromagnetismo
title_short Conformal and non conformal dilaton gravity
title_full Conformal and non conformal dilaton gravity
title_fullStr Conformal and non conformal dilaton gravity
title_full_unstemmed Conformal and non conformal dilaton gravity
title_sort Conformal and non conformal dilaton gravity
dc.creator.none.fl_str_mv Álvarez, Enrique
Herrero Valea, Mario
Martin, C. P.
author Álvarez, Enrique
author_facet Álvarez, Enrique
Herrero Valea, Mario
Martin, C. P.
author_role author
author2 Herrero Valea, Mario
Martin, C. P.
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv Models of Quantum Gravity
Conformal and W Symmetry
Anomalies in Field and String Theories
Electromagnetismo
2202 Electromagnetismo
topic Models of Quantum Gravity
Conformal and W Symmetry
Anomalies in Field and String Theories
Electromagnetismo
2202 Electromagnetismo
description The quantum dynamics of the gravitational field non-minimally coupled to an (also dynamical) scalar field is studied in the broken phase. For a particular value of the coupling the system is classically conformal, and can actually be understood as the group averaging of Einstein-Hilbert’s action under conformal transformations. Conformal invariance implies a simple Ward identity asserting that the trace of the equation of motion for the graviton is the equation of motion of the scalar field. We perform an explicit one-loop computation to show that the DeWitt effective action is not UV divergent on shell and to find that the Weyl symmetry Ward identity is preserved on shell at that level. We also discuss the fate of this Ward identity at the two-loop level — under the assumption that the two-loop UV divergent part of the effective action can be retrieved from the Goroff-Sagnotti counterterm — and show that its preservation in the renormalized theory requires the introduction of counterterms which exhibit a logarithmic dependence on the dilaton field.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-10-21
2014
2014-10-21
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/34572
url https://hdl.handle.net/20.500.14352/34572
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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