Quantum aspects of (2+1) gravity

Loll, R.

doi:10.1063/1.531253

Quantum aspects of (2+1) gravity

R. Loll
(
- INFN, Florence
)

Mar, 1995

24 pages

Published in:

J.Math.Phys. 36 (1995) 6494-6509

e-Print:

gr-qc/9503051 [gr-qc]

DOI:

10.1063/1.531253

Report number:

DFF-223-03-95

View in:

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Abstract: (arXiv)

We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensions, defined on space-times

\R\times\Sigma~g

, where

\Sigma~g

is a compact Riemann surface of genus

g

. The emphasis is on quantizations of the classical connection formulation, which use Wilson loops as their basic observables, but also results from the ADM formulation are summarized. We evaluate the progress and discuss the possible quantum (in)equivalence of the various approaches.

review
quantum gravity
dimension: 3
general relativity
quantization
Wilson loop
Riemann surface

References(35)

Figures(0)

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