Accurately determining inflationary perturbations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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3 pages LaTeX file, using sprocl.sty, with one figure incorporated using epsf. To appear, proceedings of the 18th Texas sympos

Scientific paper

Cosmic microwave anisotropy satellites promise extremely accurate measures of the amplitude of perturbations in the universe. We use a numerical code to test the accuracy of existing approximate expressions for the amplitude of perturbations produced by single-field inflation models. We find that the second-order Stewart-Lyth calculation gives extremely accurate results, typically better than one percent. We use our code to carry out an expansion about the general power-law inflation solution, providing a fitting function giving results of even higher accuracy.

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