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Final Thoughts on the Power Spectra of Scalar Potential Models

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arxiv 1708.03253 v1 pith:ATHOBTO4 submitted 2017-08-09 gr-qc

classification gr-qc
keywords potentialpowerspectrafactorsfinalmodelsnonlocalalgorithm
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We give final shape to a recent formalism for deriving the functional forms of the primordial power spectra of single-scalar potential models and theories which are related to them by conformal transformation. An excellent analytic approximation is derived for the nonlocal correction factors which are crucial to capture the "ringing" that can result from features in the potential. We also present the full algorithm for using our representation, including the nonlocal factors, to reconstruct the inflationary geometry from the power spectra.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Inverse-Scattering Reconstruction of Inflation from Scalar and Tensor Primordial Spectra

    astro-ph.CO 2026-06 unverdicted novelty 7.0 of 10

    An inverse-scattering method reconstructs inflationary potentials from primordial power spectra using Jost functions derived from the Mukhanov-Sasaki equation.

  2. The Inflaton Effective Potential for General $\epsilon$

    gr-qc 2019-08 conditional novelty 7.0 of 10

    The one-loop inflaton effective potential in a general slow-roll FRW background depends locally on H and ε with a residual nonlocal contribution, and the Friedmann equations are generalized to actions depending on H and ε.

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