QUANTUM ASPECTS OF 2+1 GRAVITY

Details QUANTUM ASPECTS OF 2+1 GRAVITY QUANTUM ASPECTS OF 2+1 GRAVITY

1995-03-27

arxiv.org/abs/gr-qc/9503051v1

J.Math.Phys.36:6494-6509,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, TeX, Mar 95; contribution to the JMP special issue on "Quantum geometry and diffeomorphism invariant quantum field t

Scientific paper

10.1063/1.531253

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.

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