Improved WKB analysis of Slow-Roll Inflation

Abstract

We extend the WKB method for the computation of cosmological perturbations during inflation beyond leading order and provide the power spectra of scalar and tensor perturbations to second order in the slow-roll parameters. Our method does not require that the slow-roll parameters be constant. Although leading and next-to-leading results in the slow-roll parameters depend on the approximation technique used in the computation, we find that the inflationary theoretical predictions obtained may reach the accuracy required by planned observations. In two technical appendices, we compare our techniques and results with previous findings.

REVTeX 4, 13 pages, no figures, final version to appear in Phys. Rev. D

References in corpus (15)

• Reconstructing the Inflaton Potential --- an Overview
• Formalising the Slow-Roll Approximation in Inflation
• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• CBR Anisotropy and the Running of the Scalar Spectral Index
• Higher order corrections to primordial spectra from cosmological inflation
• Cosmological parameter estimation and the inflationary cosmology
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• WKB approximation for inflationary cosmological perturbations
• On the Problem of Predicting Inflationary Perturbations
• The Inflationary Perturbation Spectrum
• The precision of slow-roll predictions for the CMBR anisotropies
• Characterizing Inflationary Perturbations: The Uniform Approximation
• Improved WKB analysis of cosmological perturbations
• Inflationary Perturbations and Precision Cosmology
• Higher Order Slow-Roll Predictions for Inflation

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