Back to Search
Start Over
Quantization of Lorentzian 3D gravity by partial gauge fixing.
- Source :
-
Classical & Quantum Gravity . 2012, Vol. 29 Issue 15, p1-15. 15p. - Publication Year :
- 2012
-
Abstract
- D = 2 + 1 gravity with a cosmological constant has been shown by Bonzom and Livine to present a Barbero-Immirzi-like ambiguity depending on a parameter γ . We make use of this fact to show that, for &Lgr; > 0, the Lorentzian theory can be partially gauge fixed and reduced to an SU(2) Chern- Simons theory. We then review the already known quantization of the latter in the framework of loop quantization for the case of space being topologically a cylinder. We finally construct, in the same setting, a quantum observable which, although non-trivial at the quantum level, corresponds to a null classical quantity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02649381
- Volume :
- 29
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- Classical & Quantum Gravity
- Publication Type :
- Academic Journal
- Accession number :
- 78095117
- Full Text :
- https://doi.org/10.1088/0264-9381/29/15/155011