A Phase Space Path Integral for (2+1)-Dimensional Gravity
General Relativity and Quantum Cosmology
2010-04-28 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/9504033,
title = {A Phase Space Path Integral for (2+1)-Dimensional Gravity},
author = {Steven Carlip},
journal= {arXiv preprint arXiv:gr-qc/9504033},
year = {2010}
}
Comments
9 pages, LaTeX, no figures. (Minor changes, in particular to clarify exceptional features of torus topology; final version to appear in Class. Quant. Grav.)