A Phase Space Path Integral for (2+1)-Dimensional Gravity
arXiv:gr-qc/9504033 · doi:10.1088/0264-9381/12/9/007
Abstract
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.
9 pages, LaTeX, no figures. (Minor changes, in particular to clarify exceptional features of torus topology; final version to appear in Class. Quant. Grav.)