Primordial tensor power spectrum in holonomy corrected Omega-LQC

TL;DR

This paper computes the primordial tensor power spectrum within a consistent loop quantum gravity framework, addressing previous inaccuracies by using an anomaly-free algebra to incorporate holonomy corrections in cosmology.

Contribution

It provides the first consistent calculation of the tensor spectrum in Omega-LQC using an anomaly-free algebra, improving the theoretical foundation of quantum cosmology models.

Findings

Tensor spectrum derived with anomaly-free algebra

Addresses previous inconsistencies in holonomy correction implementations

Enhances understanding of quantum effects in early universe fluctuations

Abstract

The holonomy correction is one of the main terms arising when implementing loop quantum gravity ideas at an effective level in cosmology. The recent construction of an anomaly free algebra has shown that the formalism used, up to now, to derive the primordial spectrum of fluctuations was not correct. This article aims at computing the tensor spectrum in a fully consistent way within this deformed and closed algebra.