A Phase Space Path Integral for (2+1)-Dimensional Gravity

Details A Phase Space Path Integral for (2+1)-Dimensional Gravity A Phase Space Path Integral for (2+1)-Dimensional Gravity

1995-04-21

arxiv.org/abs/gr-qc/9504033v2

Class.Quant.Grav.12:2201-2208,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX, no figures. (Minor changes, in particular to clarify exceptional features of torus topology; final version to

Scientific paper

10.1088/0264-9381/12/9/007

I investigate the relationship between the phase space path integral in
(2+1)-dimensional gravity and the canonical quantization of the corresponding
reduced phase space in the York time slicing. I demonstrate the equivalence of
these two approaches, and discuss some subtleties in the definition of the path
integral necessary to prove this equivalence.

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