Loop Quantum Gravity on Non-Compact Spaces
广义相对论与量子宇宙学
2009-10-31 v2
摘要
We present a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact spatial manifolds. Given any fixed background state representing a non-compact spatial geometry, we use the Gel'fand-Naimark-Segal construction to obtain a representation of the algebra of observables. The 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