Constraints on the Sharpness of the Curvature Power Spectrum

Motivated by the fact that a sharply peaked curvature spectrum is often considered in the literature, we examine theoretical constraints on the sharpness of such a spectrum. In particular, we show that the sharply peaked curvature power spectrum, originating from the enhancement of subhorizon pertur...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Inomata, Keisuke, Luo, Xuheng
Format: Article
Language:English
Subjects:
Constraints
Curvature
Sharpness
Online Access:Get full text
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Summary:Motivated by the fact that a sharply peaked curvature spectrum is often considered in the literature, we examine theoretical constraints on the sharpness of such a spectrum. In particular, we show that the sharply peaked curvature power spectrum, originating from the enhancement of subhorizon perturbations during inflation, is significantly constrained by energy conservation. While the constraints do not depend on the exact form of inflaton potential, we also study concrete inflaton potentials that realize a sharply peaked curvature spectrum and how theoretical limits are saturated in these cases.
ISSN:2331-8422