A Multiple Step-like Spectrum of Primordial Perturbation

TL;DR

This paper demonstrates that multiple discontinuities in the inflaton potential's derivative produce a step-like primordial perturbation spectrum, which can align with observations if the steps are sufficiently small.

Contribution

It introduces a model showing how multiple derivative discontinuities in the inflaton potential lead to a distinctive step-like primordial spectrum, expanding understanding of inflationary perturbations.

Findings

Spectrum exhibits multiple step-like features due to potential discontinuities

Results are consistent with observations if the step heights are small

Provides a general analysis applicable to various models

Abstract

We show that if the inflaton effective potential has multiple discontinuous points in its first derivative, the spectrum of primordial perturbation will be multiple step-like. We give a general analysis by applying a simple model. In principle, as long as the height of step is low enough, the result of spectrum will be consistent with observations.