On the Onset of Inflation in Loop Quantum Cosmology

TL;DR

This paper assesses the likelihood of sufficient inflation in loop quantum cosmology using a Liouville measure, concluding that successful inflation is highly improbable for polynomial potentials and natural parameters.

Contribution

It applies a Liouville measure to evaluate inflation probability in loop quantum cosmology, highlighting the unlikelihood of successful inflation in this framework.

Findings

High improbability of sufficient inflation with polynomial potentials

Inflation unlikely for natural loop quantum cosmology parameters

Supports the view that inflation may not be generic in this setting

Abstract

Using a Liouville measure, similar to the one proposed recently by Gibbons and Turok, we investigate the probability that single-field inflation with a polynomial potential can last long enough to solve the shortcomings of the standard hot big bang model, within the semiclassical regime of loop quantum cosmology. We conclude that, for such a class of inflationary models and for natural values of the loop quantum cosmology parameters, a successful inflationary scenario is highly improbable.