Note on Power-Law Inflation in Noncommutative Space-Time

TL;DR

This paper introduces a new method for calculating mode functions in noncommutative power-law inflation, showing that noncommutative effects influence the power spectra and are consistent with recent observational data.

Contribution

It presents a novel calculation approach for mode functions in noncommutative inflation and demonstrates observational consistency of the model.

Findings

Noncommutative effects modify scalar and tensor power spectra.

Model parameters are constrained by Planck and BICEP2 data.

The model aligns well with current cosmological observations.

Abstract

In this paper, we propose a new method to calculate the mode functions in the noncommutative power-law inflation model. In this model, all the modes created when the stringy space-time uncertainty relation is satisfied are generated inside the Hubble horizon during inflation. It turns out that a linear term describing the noncommutative space-time effect contributes to the power spectra of the scalar and tensor perturbations. Confronting this model with latest results from \textit{Planck} and BICEP2, we constrain the parameters in this model and we find it is well consistent with observations.