非紧凑空间上的 Loop 量子引力
广义相对论与量子宇宙学
2009-10-31 v2
摘要
我们提出了一种构建非紧凑空间上 Loop 量子引力新希尔伯特空间的通用程序。给定任意固定的表示非紧凑空间几何的背景状态，我们使用 Gel'fand-Naimark-Segal 构造来获得该观测算子代数的表示。 resulting Hilbert space can be interpreted as describing fluctuation of compact support around this background state. We also give an example of a state which approximates classical flat space and can be used as a background state for our construction.
引用
@article{arxiv.gr-qc/9909053,
title = {Loop Quantum Gravity on Non-Compact Spaces},
author = {Matthias Arnsdorf and Sameer Gupta},
journal= {arXiv preprint arXiv:gr-qc/9909053},
year = {2009}
}
备注
Revised version, portions of the paper rearranged, references added