Potential reconstruction from general power spectrum in single-field inflation

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.

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