Inflationary potentials yielding constant scalar perturbation spectral indices

Abstract

We explore the types of slow-roll inflationary potentials that result in scalar perturbations with a constant spectral index, i.e., perturbations that may be described by a single power-law spectrum over all observable scales. We devote particular attention to the type of potentials that result in the Harrison--Zel'dovich spectrum.

8 pages, 3 figures. New general derivation method, structure changed