4.6 Article

Potential reconstruction from general power spectrum in single-field inflation

Journal

Publisher

IOP Publishing Ltd
DOI: 10.1088/1475-7516/2022/01/012

Keywords

cosmological perturbation theory; inflation; physics of the early universe

Funding

  1. National Research Foundation of Korea [2019R1A2B5B01070181, 2019R1A2C2085023]
  2. Korea Initiative for fostering University of Research and Innovation Program of the National Research Foundation of Korea [2020M3H1A1077095]
  3. National Research Foundation of Korea
  4. Japan Society for the Promotion of Science [2020K2A9A2A08000097]
  5. Ewha Womans University [1-2020-1630-001-1]

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This article suggests a new method to reconstruct the inflaton potential directly from the primordial power spectrum within canonical single-field inflation. It introduces a more generalized slow-roll approximation to reliably probe the properties of the inflaton potential. The validity of this method is discussed through several examples.
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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