Year: 2021
Type: article
Abstract: We propose a new kind of coherent state for the general $SO(D+1)$ formulation of loop quantum gravity in the ($1+D$)-dimensional space-time. Instead of Thiemann's coherent state for $SO(D+1)$ gauge theory, our coherent spin-network state is given by constructing proper superposition over quantum numbers of the spin-networks with vertices labeled by the coherent intertwiners. Such superposition type coherent states are labeled by the so-called generalized twisted geometric variables which capture the geometric meaning of discretized general relativity. We study the basic properties of this kind of coherent state, i.e., the completeness and peakedness property. Moreover, we show that the superposition type coherent states are consistent with Thiemann's coherent state for $SO(D+1)$ gauge theory in the large $\ensuremath{\eta}$ limit.
Authors: Gaoping Long, Cong Zhang, Xiangdong Zhang
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3161558080