Marolf D, Mourao JM, Thiemann T (1997)
Publication Status: Published
Publication Type: Journal article
Publication year: 1997
Publisher: AMER INST PHYSICS
Book Volume: 38
Pages Range: 4730-4740
Journal Issue: 9
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.
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: Download