Scalar spectra of primordial perturbations in loop quantum cosmology

TL;DR

This paper investigates scalar perturbations in loop quantum cosmology, analyzing how initial conditions and inflaton potential choices affect the primordial spectrum, with a focus on the ultraviolet region's reliability.

Contribution

It provides a detailed comparison of dressed metric and deformed algebra approaches in calculating scalar spectra in loop quantum cosmology, clarifying the impact of initial conditions and potential choices.

Findings

Ultraviolet spectrum calculations are reliable across background trajectories.

Infrared and intermediate spectra depend on specific initial condition choices.

Different inflaton potentials influence the scalar perturbation spectra.

Abstract

This article is devoted to the study of scalar perturbations in loop quantum cosmology. It aims at clarifying the situation with respect to the way initial conditions are set and to the specific choice of an inflaton potential. Several monomial potentials are studied. Both the dressed metric and deformed algebra approaches are considered. We show that the calculation of the ultraviolet part of the spectrum, which is the physically relevant region for most background trajectories, is reliable, whereas the infrared and intermediate parts do depend on some specific choices that are made explicit.