2022
DOI: 10.1088/1475-7516/2022/01/012
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Potential reconstruction from general power spectrum in single-field inflation

Abstract: We suggest a new method to reconstruct, within canonical single-field inflation, the inflaton potential directly from the primordial power spectrum which may deviate significantly from near scale-invariance. Our approach relies on a more generalized slow-roll approximation than the standard one, and can probe the properties of the inflaton potential reliably. We give a few examples for reconstructing potential and discuss the validity of our method.

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Cited by 2 publications
(2 citation statements)
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“…Thus, such an approach differs significantly from the reconstruction procedure of the scalar field potential from the parameters of cosmological perturbations in the framework of GR [14,15] or from the reconstruction of modified gravity theories from the universe expansion history [3,4], which also imply different inflationary scenarios.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Thus, such an approach differs significantly from the reconstruction procedure of the scalar field potential from the parameters of cosmological perturbations in the framework of GR [14,15] or from the reconstruction of modified gravity theories from the universe expansion history [3,4], which also imply different inflationary scenarios.…”
Section: Discussionmentioning
confidence: 99%
“…Considering GR scalar field cosmology in the early universe, we accept that observational constraints on the parameters of cosmological perturbation values due to anisotropy a e-mail: ingvor@inbox.ru (corresponding author) b e-mail: chervon.sergey@gmail.com c e-mail: amor59@mail.ru d e-mail: iliyagol@mail.ru and polarization of the cosmic microwave background (CMB) [12,13] are directly connected with the shape of the scalar field potential [14,15]. It is possible to select a certain class of the scalar field potentials corresponding to inflationary models and satisfying observational constraints in GR scalar field cosmology.…”
Section: Introductionmentioning
confidence: 99%