Final Thoughts on the Power Spectra of Scalar Potential Models

TL;DR

This paper refines a formalism for calculating the primordial power spectra of single-scalar potential models, including nonlocal corrections, and provides an algorithm to reconstruct inflationary geometry from observed spectra.

Contribution

It introduces an improved analytic approximation for nonlocal correction factors and presents a comprehensive algorithm for reconstructing inflationary geometry from power spectra.

Findings

Derived an analytic approximation for nonlocal correction factors.

Provided a complete algorithm for reconstructing inflationary geometry.

Enhanced the understanding of features in the primordial power spectra.

Abstract

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.