The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt

The most robust prediction of inflation driven by a single field is the existence of a red tilt for the spectrum of curvature fluctuations that is experimentally of order 0.04. The tilt is derived solving the exact equation for quantum fluctuations in a quasi de Sitter background with first slow-rol...

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Detalhes bibliográficos
Autores: Gómez, César, Jimenez, Raul
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2023
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/349570
Acesso em linha:http://hdl.handle.net/10261/349570
https://api.elsevier.com/content/abstract/scopus_id/85147146113
Access Level:acceso abierto
Palavra-chave:Cosmological perturbation theory
Inflation
Hysics of the early universe
Quantum cosmology
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spelling The quantum origin of quasi de Sitter: a model independent quantum cosmological tiltGómez, CésarJimenez, RaulCosmological perturbation theoryInflationHysics of the early universeQuantum cosmologyThe most robust prediction of inflation driven by a single field is the existence of a red tilt for the spectrum of curvature fluctuations that is experimentally of order 0.04. The tilt is derived solving the exact equation for quantum fluctuations in a quasi de Sitter background with first slow-roll parameter ϵ small but non vanishing. The experimental data selects among the different inflaton potentials. The origin of the lack of scale invariance associated with the tilt is however classical in essence and parametrized by the slow roll parameter of the inflaton potential. Here we present a purely quantum mechanical and model independent derivation of the tilt. This derivation is based on two basic observations: first, the correlator for the Mukhanov-Sasaki gauge invariant variables is related to the quantum Fisher function measuring the quantum dependence of the family of pure de Sitter vacua on the energy scale parameter; second, this quantum Fisher function has a non vanishing scale dependent red tilt that, at the energy scales of physical interest, fits the effective quasi de Sitter prediction as well as the experimental value. This is a result that is model independent and only based on the quantum features of the family of de Sitter vacua.The work of CG was supported by grants SEV-2016-0597, FPA2015-65480-P and PGC2018- 095976-B-C21. The work of RJ is supported by MINECO grant PGC2018-098866-B-I00 FEDER, UE.Peer reviewedConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202420242023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10261/349570https://api.elsevier.com/content/abstract/scopus_id/85147146113reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)InglésJournal of Cosmology and Astroparticle Physicshttps://iopscience.iop.org/article/10.1088/1475-7516/2023/01/036Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3495702026-05-22T06:33:51Z
dc.title.none.fl_str_mv The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
title The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
spellingShingle The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
Gómez, César
Cosmological perturbation theory
Inflation
Hysics of the early universe
Quantum cosmology
title_short The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
title_full The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
title_fullStr The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
title_full_unstemmed The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
title_sort The quantum origin of quasi de Sitter: a model independent quantum cosmological tilt
dc.creator.none.fl_str_mv Gómez, César
Jimenez, Raul
author Gómez, César
author_facet Gómez, César
Jimenez, Raul
author_role author
author2 Jimenez, Raul
author2_role author
dc.contributor.none.fl_str_mv Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Cosmological perturbation theory
Inflation
Hysics of the early universe
Quantum cosmology
topic Cosmological perturbation theory
Inflation
Hysics of the early universe
Quantum cosmology
description The most robust prediction of inflation driven by a single field is the existence of a red tilt for the spectrum of curvature fluctuations that is experimentally of order 0.04. The tilt is derived solving the exact equation for quantum fluctuations in a quasi de Sitter background with first slow-roll parameter ϵ small but non vanishing. The experimental data selects among the different inflaton potentials. The origin of the lack of scale invariance associated with the tilt is however classical in essence and parametrized by the slow roll parameter of the inflaton potential. Here we present a purely quantum mechanical and model independent derivation of the tilt. This derivation is based on two basic observations: first, the correlator for the Mukhanov-Sasaki gauge invariant variables is related to the quantum Fisher function measuring the quantum dependence of the family of pure de Sitter vacua on the energy scale parameter; second, this quantum Fisher function has a non vanishing scale dependent red tilt that, at the energy scales of physical interest, fits the effective quasi de Sitter prediction as well as the experimental value. This is a result that is model independent and only based on the quantum features of the family of de Sitter vacua.
publishDate 2023
dc.date.none.fl_str_mv 2023
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/349570
https://api.elsevier.com/content/abstract/scopus_id/85147146113
url http://hdl.handle.net/10261/349570
https://api.elsevier.com/content/abstract/scopus_id/85147146113
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Cosmology and Astroparticle Physics
https://iopscience.iop.org/article/10.1088/1475-7516/2023/01/036
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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