A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation

TL;DR

This paper derives precise formulae for the spectra of scalar and tensor perturbations generated during inflation, improving accuracy for various inflation models.

Contribution

It provides a more accurate analytic method for calculating the spectra of cosmological perturbations during inflation, encompassing several inflation scenarios.

Findings

Derived formulae for scalar and tensor spectra during inflation

Applicable to power law, natural, and slow roll inflation models

Enhanced precision over previous approximation methods

Abstract

Formulae are derived for the spectra of scalar curvature perturbations and gravitational waves produced during inflation, special cases of which include power law inflation, natural inflation in the small angle approximation and inflation in the slow roll approximation.