On the reliability of inflaton potential reconstruction

Details On the reliability of inflaton potential reconstruction On the reliability of inflaton potential reconstruction

1998-02-15

arxiv.org/abs/astro-ph/9802209v1

Phys.Rev. D58 (1998) 043002

Astronomy and Astrophysics

Astrophysics

16 page LaTeX file with eight postscript figures embedded with epsf; no special macros needed

Scientific paper

10.1103/PhysRevD.58.043002

If primordial scalar and tensor perturbation spectra can be inferred from observations of the cosmic background radiation and large-scale structure, then one might hope to reconstruct a unique single-field inflaton potential capable of generating the observed spectra. In this paper we examine conditions under which such a potential can be reliably reconstructed. For it to be possible at all, the spectra must be well fit by a Taylor series expansion. A complete reconstruction requires a statistically-significant tensor mode to be measured in the microwave background. We find that the observational uncertainties dominate the theoretical error from use of the slow-roll approximation, and conclude that the reconstruction procedure will never insidiously lead to an irrelevant potential.

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