Abstract
We study a simple extension of Linde's hybrid inflation model, with the inflaton mass term replaced by the most general renormalizable potential for [phi]. The unprocessed power spectrum of density perturbations can have two minima and one maximum, roughly corresponding to two steep regions separated by a somewhat flat region in [ital V]([phi]). In the examples studied here, a sufficient amount of inflation and normalization to COBE requires a vacuum scale of 10[sup 16] GeV and a [phi] mass of 10[sup 13] GeV. Depending on the initial value of [phi], our model can give either less ([similar to][ital n][lt]1) or more ([similar to][ital n][gt]1) power on small scales compared to the scale-invariant spectrum ([ital n]=1), given the normalization to COBE. Given the same power on small scales, our power spectra can give more power on intermediate scales, compared to simple tilted'' power spectra.
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