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

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

2002-02-05

arxiv.org/abs/astro-ph/0202098v1

Phys.Lett.B538:213-222,2002

Astronomy and Astrophysics

Astrophysics

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

Scientific paper

10.1016/S0370-2693(02)02004-X

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.

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