Trans-Planckian footprints in inflationary cosmology

TL;DR

This paper explores how a minimum uncertainty vacuum at a fixed energy scale can influence inflationary cosmology, potentially leaving detectable imprints in the scalar perturbation power spectrum.

Contribution

It introduces a new effective approach to model trans-Planckian physics during inflation using a minimum uncertainty vacuum at a fixed energy scale.

Findings

Possible effects of order H/Λ in the power spectrum.

Analogous results found for de-Sitter space-time.

Implications for trans-Planckian physics in inflation.

Abstract

We consider a minimum uncertainty vacuum choice at a fixed energy scale Lambda as an effective description of trans-Planckian physics, and discuss its implications for the linear perturbations of a massless scalar field in power-law inflationary models. We find possible effects with a magnitude of order H/\Lambda in the power spectrum, in analogy with previous results for de-Sitter space-time.