Canonical Quantization of (2+1)-Dimensional Gravity

Details Canonical Quantization of (2+1)-Dimensional Gravity Canonical Quantization of (2+1)-Dimensional Gravity

1994-01-20

arxiv.org/abs/gr-qc/9401022v1

Phys.Rev. D50 (1994) 4982-4992

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, Mexico preprint ICN-UNAM-93-14

Scientific paper

10.1103/PhysRevD.50.4982

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.

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