Final Thoughts on the Power Spectra of Scalar Potential Models

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.

arXiv comment28 pages, 12 figures, uses LaTeX2e

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• The Inflaton Effective Potential for General $\epsilon$
• Coincident Massless, Minimally Coupled Scalar Correlators on General Cosmological Backgrounds
• Inflaton Effective Potential from Photons for General $\epsilon$
• From Non-trivial Geometries to Power Spectra and Vice Versa
• Improving the Single Scalar Consistency Relation
• Non-Gaussianity from Features
• Large Inflationary Logarithms in a Nontrivial Nonlinear Sigma Model
• The Case for Nonlocal Modifications of Gravity