Inverse volume corrections from loop quantum gravity and the primordial tensor power spectrum in slow-roll inflation

TL;DR

This paper explores how inverse volume corrections from loop quantum gravity alter the primordial tensor power spectrum during slow-roll inflation, revealing significant deviations from classical predictions depending on model parameters.

Contribution

It introduces the impact of inverse volume corrections in loop quantum cosmology on the tensor power spectrum, highlighting their potential to cause large deviations from standard models.

Findings

Tensor spectrum can become very red with inverse volume corrections.

Strong running of the spectrum occurs in the infrared limit.

Deviations depend on free parameters of the model.

Abstract

Together with holonomy corrections, inverse volume terms should be taken into account when studying the primordial universe in loop quantum cosmology. We investigate how the tensor power spectrum is modified with respect to the standard general relativistic prediction by those semiclassical corrections. Depending on the values of the free parameters of the model, it is shown that the spectrum can exhibit a very large deviation from its usual shape, in particular with a very red slope and a strong running in the infrared limit.