Canonical Quantization of (2+1)-Dimensional Gravity
General Relativity and Quantum Cosmology
2009-10-22 v1
Abstract
We consider the quantum dynamics of both open and closed two- dimensional universes with ``wormholes'' and particles. The wave function is given as a sum of freely propagating amplitudes, emitted from a network of mapping class images of the initial state. Interference between these amplitudes gives non-trivial scattering effects, formally analogous to the optical diffraction by a multidimensional grating; the ``bright lines'' correspond to the most probable geometries.
Cite
@article{arxiv.gr-qc/9401022,
title = {Canonical Quantization of (2+1)-Dimensional Gravity},
author = {H. Waelbroeck},
journal= {arXiv preprint arXiv:gr-qc/9401022},
year = {2009}
}
Comments
22 pages, Mexico preprint ICN-UNAM-93-14