Potential reconstruction from general power spectrum in single-field inflation

TL;DR

This paper introduces a new method to reconstruct the inflaton potential from the primordial power spectrum in single-field inflation, using a generalized slow-roll approximation to handle deviations from scale-invariance.

Contribution

It presents a novel reconstruction technique that extends the standard slow-roll approximation for more accurate potential recovery from observational data.

Findings

Successfully reconstructs potential examples

Validates the method's reliability

Handles significant deviations from scale-invariance

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.