Gauge-invariant coherent states for loop quantum gravity: I. Abelian gauge groups
Gauge-invariant coherent states for loop quantum gravity: I. Abelian gauge groups
In this paper, we investigate the properties of gauge-invariant coherent states for loop quantum gravity, for the gauge group U(1). This is done by projecting the corresponding complexifier coherent states defined by Thiemann and Winkler to the gauge-invariant Hilbert space. This being the first step toward constructing physical coherent states, …