Coherent states in quantum gravity: a construction based on the flux representation of LQG

TL;DR

This paper introduces a modified construction of coherent states in loop quantum gravity using the non-commutative flux representation, resulting in states with improved peakedness properties compared to existing models.

Contribution

It presents a novel approach to constructing coherent states in quantum gravity based on the flux representation, enhancing their peakedness features.

Findings

States exhibit improved peakedness properties

Construction leverages non-commutative flux representation

Enhances the understanding of coherent states in quantum gravity

Abstract

As part of a wider study of coherent states in (loop) quantum gravity, we introduce a modification to the standard construction, based on the recently introduced (non-commutative) flux representation. The resulting quantum states have some welcomed features, in particular concerning peakedness properties, when compared to other coherent states in the literature.