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Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories

We develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential slow-roll parameters, which enable us to examine the effect of...

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Autores principales: Burns, Daniel, Karamitsos, Sotirios, Pilaftsis, Apostolos
Lenguaje:eng
Publicado: 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2016.04.036
http://cds.cern.ch/record/2138756
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author Burns, Daniel
Karamitsos, Sotirios
Pilaftsis, Apostolos
author_facet Burns, Daniel
Karamitsos, Sotirios
Pilaftsis, Apostolos
author_sort Burns, Daniel
collection CERN
description We develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential slow-roll parameters, which enable us to examine the effect of conformal transformations and inflaton reparameterizations in scalar-curvature theories. We find that cosmological observables, such as the power spectrum, the spectral indices and their runnings, can be expressed in a concise manner in terms of the generalized potential slow-roll parameters which depend on the scalar-curvature coupling function, the inflaton wavefunction, and the inflaton potential. We show how the cosmological observables of inflation are frame-invariant in this generalized potential slow-roll formalism, as long as the end-of-inflation condition is appropriately extended to become frame-invariant as well. We then apply our formalism to specific scenarios, such as the induced gravity inflation, Higgs inflation and $F(R)$ models of inflation, and obtain more accurate results, without making additional approximations to the potential. Our results are shown to be consistent to lowest order with those presented in the literature. Finally, we outline how our frame-covariant formalism can be naturally extended beyond the tree-level approximation, within the framework of the Vilkovisky--DeWitt effective action.
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spelling cern-21387562023-07-02T02:18:56Zdoi:10.1016/j.nuclphysb.2016.04.036http://cds.cern.ch/record/2138756engBurns, DanielKaramitsos, SotiriosPilaftsis, ApostolosFrame-Covariant Formulation of Inflation in Scalar-Curvature TheoriesParticle Physics - PhenomenologyWe develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential slow-roll parameters, which enable us to examine the effect of conformal transformations and inflaton reparameterizations in scalar-curvature theories. We find that cosmological observables, such as the power spectrum, the spectral indices and their runnings, can be expressed in a concise manner in terms of the generalized potential slow-roll parameters which depend on the scalar-curvature coupling function, the inflaton wavefunction, and the inflaton potential. We show how the cosmological observables of inflation are frame-invariant in this generalized potential slow-roll formalism, as long as the end-of-inflation condition is appropriately extended to become frame-invariant as well. We then apply our formalism to specific scenarios, such as the induced gravity inflation, Higgs inflation and $F(R)$ models of inflation, and obtain more accurate results, without making additional approximations to the potential. Our results are shown to be consistent to lowest order with those presented in the literature. Finally, we outline how our frame-covariant formalism can be naturally extended beyond the tree-level approximation, within the framework of the Vilkovisky--DeWitt effective action.We develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential slow-roll parameters, which enable us to examine the effect of conformal transformations and inflaton reparameterizations in scalar-curvature theories. We find that cosmological observables, such as the power spectrum, the spectral indices and their runnings, can be expressed in a concise manner in terms of the generalized potential slow-roll parameters which depend on the scalar-curvature coupling function, the inflaton wavefunction, and the inflaton potential. We show how the cosmological observables of inflation are frame-invariant in this generalized potential slow-roll formalism, as long as the end-of-inflation condition is appropriately extended to become frame-invariant as well. We then apply our formalism to specific scenarios, such as the induced gravity inflation, Higgs inflation and F(R) models of inflation, and obtain more accurate results, without making additional approximations to the potential. Our results are shown to be consistent to lowest order with those presented in the literature. Finally, we outline how our frame-covariant formalism can be naturally extended beyond the tree-level approximation, within the framework of the Vilkovisky–DeWitt effective action.We develop a frame-covariant formulation of inflation in the slow-roll approximation by generalizing the inflationary attractor solution for scalar-curvature theories. Our formulation gives rise to new generalized forms for the potential slow-roll parameters, which enable us to examine the effect of conformal transformations and inflaton reparameterizations in scalar-curvature theories. We find that cosmological observables, such as the power spectrum, the spectral indices and their runnings, can be expressed in a concise manner in terms of the generalized potential slow-roll parameters which depend on the scalar-curvature coupling function, the inflaton wavefunction, and the inflaton potential. We show how the cosmological observables of inflation are frame-invariant in this generalized potential slow-roll formalism, as long as the end-of-inflation condition is appropriately extended to become frame-invariant as well. We then apply our formalism to specific scenarios, such as the induced gravity inflation, Higgs inflation and $F(R)$ models of inflation, and obtain more accurate results, without making additional approximations to the potential. Our results are shown to be consistent to lowest order with those presented in the literature. Finally, we outline how our frame-covariant formalism can be naturally extended beyond the tree-level approximation, within the framework of the Vilkovisky--DeWitt effective action.arXiv:1603.03730CERN-TH-2016-054MAN-HEP-2016-05MAN-HEP-2016-05CERN-TH-2016-054oai:cds.cern.ch:21387562016-03-11
spellingShingle Particle Physics - Phenomenology
Burns, Daniel
Karamitsos, Sotirios
Pilaftsis, Apostolos
Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
title Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
title_full Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
title_fullStr Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
title_full_unstemmed Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
title_short Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
title_sort frame-covariant formulation of inflation in scalar-curvature theories
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1016/j.nuclphysb.2016.04.036
http://cds.cern.ch/record/2138756
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AT karamitsossotirios framecovariantformulationofinflationinscalarcurvaturetheories
AT pilaftsisapostolos framecovariantformulationofinflationinscalarcurvaturetheories