The Power Spectrum for a Multi-Component Inflaton to Second-Order Corrections in the Slow-Roll Expansion

Abstract

We derive the power spectrum $\mathcal{P}(k)$ of the density perturbations produced during inflation up to second-order corrections in the standard slow-roll approximation for an inflaton with more than one degree of freedom. We also present the spectral index $n$ up to first-order corrections including previously missing terms, and the running $dn/d\ln k$ to leading order.

11 pages, no figure. KAIST-TH 2002/01

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