Lifshitz scalar fields: One loop renormalization in curved backgrounds

Autores
Lopez Nacir, Diana Laura; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider an interacting Lifshitz field with z ¼ 3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form n, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four-dimensional Ricci scalar ð4Þ R2 does not receive large quantum corrections 1. We argue that quantum corrections involving spatial derivatives of the lapse function (which appear naturally in the so-called healthy extension of the Horˇava-Lifshitz theory of gravity) are not generated unless they are already present in the bare Lagrangian.
Fil: Lopez Nacir, Diana Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Mazzitelli, Francisco Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; Argentina
Fil: Trombetta, Leonardo Giuliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
GRAVEDAD SEMICLASICA
TEORIA DE HORAVA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/271193
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Lifshitz scalar fields: One loop renormalization in curved backgroundsLopez Nacir, Diana LauraMazzitelli, Francisco DiegoTrombetta, Leonardo GiulianoGRAVEDAD SEMICLASICATEORIA DE HORAVAhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider an interacting Lifshitz field with z ¼ 3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form n, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four-dimensional Ricci scalar ð4Þ R2 does not receive large quantum corrections 1. We argue that quantum corrections involving spatial derivatives of the lapse function (which appear naturally in the so-called healthy extension of the Horˇava-Lifshitz theory of gravity) are not generated unless they are already present in the bare Lagrangian.Fil: Lopez Nacir, Diana Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Mazzitelli, Francisco Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; ArgentinaFil: Trombetta, Leonardo Giuliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaAmerican Physical Society2012-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/271193Lopez Nacir, Diana Laura; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano; Lifshitz scalar fields: One loop renormalization in curved backgrounds; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 2; 1-2012; 24051-240601550-7998CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/prd/abstract/10.1103/PhysRevD.85.024051info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.85.024051info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:18:42Zoai:ri.conicet.gov.ar:11336/271193instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:18:42.746CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lifshitz scalar fields: One loop renormalization in curved backgrounds
title Lifshitz scalar fields: One loop renormalization in curved backgrounds
spellingShingle Lifshitz scalar fields: One loop renormalization in curved backgrounds
Lopez Nacir, Diana Laura
GRAVEDAD SEMICLASICA
TEORIA DE HORAVA
title_short Lifshitz scalar fields: One loop renormalization in curved backgrounds
title_full Lifshitz scalar fields: One loop renormalization in curved backgrounds
title_fullStr Lifshitz scalar fields: One loop renormalization in curved backgrounds
title_full_unstemmed Lifshitz scalar fields: One loop renormalization in curved backgrounds
title_sort Lifshitz scalar fields: One loop renormalization in curved backgrounds
dc.creator.none.fl_str_mv Lopez Nacir, Diana Laura
Mazzitelli, Francisco Diego
Trombetta, Leonardo Giuliano
author Lopez Nacir, Diana Laura
author_facet Lopez Nacir, Diana Laura
Mazzitelli, Francisco Diego
Trombetta, Leonardo Giuliano
author_role author
author2 Mazzitelli, Francisco Diego
Trombetta, Leonardo Giuliano
author2_role author
author
dc.subject.none.fl_str_mv GRAVEDAD SEMICLASICA
TEORIA DE HORAVA
topic GRAVEDAD SEMICLASICA
TEORIA DE HORAVA
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider an interacting Lifshitz field with z ¼ 3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form n, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four-dimensional Ricci scalar ð4Þ R2 does not receive large quantum corrections 1. We argue that quantum corrections involving spatial derivatives of the lapse function (which appear naturally in the so-called healthy extension of the Horˇava-Lifshitz theory of gravity) are not generated unless they are already present in the bare Lagrangian.
Fil: Lopez Nacir, Diana Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Mazzitelli, Francisco Diego. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Comision Nacional de Energia Atomica. Gerencia D/area Invest y Aplicaciones No Nucleares. Gerencia de Física (cab). Div.física Teórica; Argentina
Fil: Trombetta, Leonardo Giuliano. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description We consider an interacting Lifshitz field with z ¼ 3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form n, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four-dimensional Ricci scalar ð4Þ R2 does not receive large quantum corrections 1. We argue that quantum corrections involving spatial derivatives of the lapse function (which appear naturally in the so-called healthy extension of the Horˇava-Lifshitz theory of gravity) are not generated unless they are already present in the bare Lagrangian.
publishDate 2012
dc.date.none.fl_str_mv 2012-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/271193
Lopez Nacir, Diana Laura; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano; Lifshitz scalar fields: One loop renormalization in curved backgrounds; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 2; 1-2012; 24051-24060
1550-7998
CONICET Digital
CONICET
url http://hdl.handle.net/11336/271193
identifier_str_mv Lopez Nacir, Diana Laura; Mazzitelli, Francisco Diego; Trombetta, Leonardo Giuliano; Lifshitz scalar fields: One loop renormalization in curved backgrounds; American Physical Society; Physical Review D: Particles, Fields, Gravitation and Cosmology; 85; 2; 1-2012; 24051-24060
1550-7998
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/prd/abstract/10.1103/PhysRevD.85.024051
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.85.024051
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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