The status of diffeomorphism superselection in euclidean 2+1 gravity

Journal article


Publication Details

Author(s): Marolf D, Mourao JM, Thiemann T
Journal: Journal of Mathematical Physics
Publisher: AMER INST PHYSICS
Publication year: 1997
Volume: 38
Journal issue: 9
Pages range: 4730-4740
ISSN: 0022-2488


Abstract


This work addresses a specific technical question of relevance to canonical quantization of gravity using the so-called new variables and loop-based techniques of Ashtekar, Rovelli, and Smolin. In particular, certain ''superselection laws'' that arise in current applications of these techniques to solving the diffeomorphism constraint are considered, Their status is elucidated by studying an analogous system: 2 + 1 Euclidean gravity, For that system, these superselection laws are shown to be spurious. This, however, is only a technical difficulty. The usual quantum theory may still be obtained from a loop representation and the technique known as ''Refined Algebraic Quantization.'' (C) 1997 American Institute of Physics.



FAU Authors / FAU Editors

Mourao, José Manuel Prof. Dr.
Lehrstuhl für Theoretische Physik
Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik


How to cite

APA:
Marolf, D., Mourao, J.M., & Thiemann, T. (1997). The status of diffeomorphism superselection in euclidean 2+1 gravity. Journal of Mathematical Physics, 38(9), 4730-4740.

MLA:
Marolf, Donald, José Manuel Mourao, and Thomas Thiemann. "The status of diffeomorphism superselection in euclidean 2+1 gravity." Journal of Mathematical Physics 38.9 (1997): 4730-4740.

BibTeX: 

Last updated on 2018-08-08 at 15:39