Noncommutative effective LQC: A (pre-)inflationary dynamics investigation

TL;DR

This paper explores a noncommutative extension of effective loop quantum cosmology, finding that its pre-inflationary dynamics closely resemble standard LQC, with potential subtle effects on primordial perturbations under specific parameter tuning.

Contribution

The authors introduce a noncommutative extension of effective LQC that preserves key features like the quantum bounce and analyze its pre-inflationary dynamics.

Findings

Pre-inflationary scenario similar to standard LQC

Noncommutative effects do not significantly alter dynamics

Potential for subtle primordial perturbation effects with parameter tuning

Abstract

We conduct a (pre-)inflationary dynamics study within the framework of a simple noncommutative extension of effective loop quantum cosmology -- put forward recently by the authors -- which preserves its key features (in particular, the quantum bounce is maintained). A thorough investigation shows that the (pre-)inflationary scenario associated to the chaotic quadratic potential is in the overall the same as the one featured in standard loop quantum cosmology (which reinforces the conclusion reached by the authors in a preliminary analysis). Hence, this (pre-)inflationary scenario does not easily distinguish between standard loop quantum cosmology and the aforementioned noncommutative scheme. It is argued that a particular tuning of the noncommutativity parameter could accommodate for subtle effects at the level of primordial perturbations (the hybrid quantization framework being a tentative route of analysis).