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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/271193
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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 Técnicas2025-09-29T09:49:17Zoai: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:34982025-09-29 09:49:17.271CONICET 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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13.070432 |