Abstract

In this paper we break the scale invariance of the primordial power spectrum ofcurvature perturbations of inflation. Introducing a singular behaviour due tospontaneous symmetry breaking in the inflaton potential, we obtain fully analyticexpressions for scale dependent oscillation and a modulation in power on a smallscale in the primordial spectrum. And we give the associated cosmic microwavebackground and matter power spectra which we can observe now and discuss thesignature of the scale dependence. We also address whether some inflationarymodel with a featured potential might mimic the predictions of the scale invariantpower spectrum. We present some examples which illustrate such degeneracies.

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