Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term

Abstract We derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The action is R +R 2 plus the Weyl-squared term. The ghost is eliminated by turning it into a fakeon, that is to say a purely vir...

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Main Authors: Damiano Anselmi, Eugenio Bianchi, Marco Piva
Format: Article
Language:English
Published: SpringerOpen 2020-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP07(2020)211
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author Damiano Anselmi
Eugenio Bianchi
Marco Piva
author_facet Damiano Anselmi
Eugenio Bianchi
Marco Piva
author_sort Damiano Anselmi
collection DOAJ
description Abstract We derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The action is R +R 2 plus the Weyl-squared term. The ghost is eliminated by turning it into a fakeon, that is to say a purely virtual particle. We work to the next-to-leading order of the expansion around the de Sitter background. The consistency of the approach puts a lower bound (m χ > m ϕ /4) on the mass m χ of the fakeon with respect to the mass m ϕ of the inflaton. The tensor-to-scalar ratio r is predicted within less than an order of magnitude (4/2 < N 2 r <12 to the leading order in the number of e-foldings N). Moreover, the relation r ≃ –8n T is not affected by the Weyl-squared term. No vector and no other scalar/tensor degree of freedom is present.
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spelling doaj.art-db12b82cdc6647ad9301b704d564524e2022-12-21T19:07:01ZengSpringerOpenJournal of High Energy Physics1029-84792020-07-012020713310.1007/JHEP07(2020)211Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared termDamiano Anselmi0Eugenio Bianchi1Marco Piva2Dipartimento di Fisica “Enrico Fermi”, Università di PisaInstitute for Gravitation and the Cosmos, The Pennsylvania State UniversityNational Institute of Chemical Physics and BiophysicsAbstract We derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The action is R +R 2 plus the Weyl-squared term. The ghost is eliminated by turning it into a fakeon, that is to say a purely virtual particle. We work to the next-to-leading order of the expansion around the de Sitter background. The consistency of the approach puts a lower bound (m χ > m ϕ /4) on the mass m χ of the fakeon with respect to the mass m ϕ of the inflaton. The tensor-to-scalar ratio r is predicted within less than an order of magnitude (4/2 < N 2 r <12 to the leading order in the number of e-foldings N). Moreover, the relation r ≃ –8n T is not affected by the Weyl-squared term. No vector and no other scalar/tensor degree of freedom is present.http://link.springer.com/article/10.1007/JHEP07(2020)211Beyond Standard ModelCosmology of Theories beyond the SMModels of Quant urn Gravity
spellingShingle Damiano Anselmi
Eugenio Bianchi
Marco Piva
Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
Journal of High Energy Physics
Beyond Standard Model
Cosmology of Theories beyond the SM
Models of Quant urn Gravity
title Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
title_full Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
title_fullStr Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
title_full_unstemmed Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
title_short Predictions of quantum gravity in inflationary cosmology: effects of the Weyl-squared term
title_sort predictions of quantum gravity in inflationary cosmology effects of the weyl squared term
topic Beyond Standard Model
Cosmology of Theories beyond the SM
Models of Quant urn Gravity
url http://link.springer.com/article/10.1007/JHEP07(2020)211
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