Power spectrum and anisotropy of super inflation in loop quantum cosmology

TL;DR

This paper studies the behavior of scalar perturbations and anisotropy during super inflation in loop quantum cosmology, revealing exponential growth in power spectrum and anisotropy due to holonomy corrections.

Contribution

It introduces a detailed analysis of scalar perturbations with gauge invariant holonomy corrections in loop quantum cosmology, highlighting their impact on power spectrum and anisotropy growth.

Findings

Power spectrum becomes exponentially blue with holonomy corrections.

Anisotropy grows exponentially during super inflation.

Holonomy corrections significantly influence perturbation dynamics.

Abstract

We investigate the scalar mode of perturbation of super inflation in the version of loop quantum cosmology in which the gauge invariant holonomy corrections are considered. Given a background solution, we calculate the power spectrum of the perturbation in the classical and LQC conditions. Then we compute the anisotropy originated from the perturbation. It is found that in the presence of the gauge invariant holonomy corrections the power spectrum is exponentially blue and the anisotropy also grows exponentially in the epoch of super inflation.