1995/04/30 by Steven Carlip
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Mathematical physics #Noncommutative and Quantum Gravity Theories #Path (computing) #Path integral formulation #Phase (matter) #Phase space #Physics #Quantum #Quantum mechanics #Space (punctuation) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/12/9/007
published as Class.Quant.Grav.12:2201-2208,1995 · 9 pages, LaTeX, no figures. (Minor changes, in particular to clarify exceptional features of torus topology; final version to appear in Class. Quant. Grav.)
arxiv created 1995/07/06 · openalex publication_date 1995/09/01 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 is investigated. The equivalence of these two approaches is demonstrated, and some subtleties in the definition of the path integral necessary to prove this equivalence are discussed.