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

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.Comment: 24 pages, 2 figures; Revised version to match the published one. Some references added. Discussion of the resolution of the identity include