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Potential reconstruction from general power spectrum in single-field inflation

2021/09/30 by Ki-Young Choi, Jinn-Ouk Gong, Subeom Kang +2
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Inflation (cosmology) #Inflaton #Mathematics #Physics #Quantum mechanics #Scale (ratio) #Scale invariance #Spectral density #Spectrum (functional analysis) #Statistical physics #Statistics #Theoretical physics #astro-ph.CO #gr-qc #hep-ph

paper · pdf · doi:10.1088/1475-7516/2022/01/012

(v1) 12 pages, 2 figures; (v2) 13 pages, more clarifications, to appear in Journal of Cosmology and Astroparticle Physics

arxiv created 2021/12/20 · openalex publication_date 2022/01/01 · arxiv updated 2022/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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.

Citations