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Combinatorial Space from Loop Quantum Gravity
- Source :
- General Relativity and Gravitation; August 1998, Vol. 30 Issue: 8 p1229-1245, 17p
- Publication Year :
- 1998
-
Abstract
- The canonical quantization of diffeomorphism invariant theories of connections in terms of loop variables is revisited. Such theories include general relativity described in terms of Ashtekar-Barbero variables and extension to Yang-Mills fields (with or without fermions) coupled to gravity. It is argued that the operators induced by classical diffeomorphism invariant or covariant functions are respectively invariant or covariant under a suitable completion of the diffeomorphism group. The canonical quantization in terms of loop variables described here, yields a representation of the algebra of observables in a separable Hilbert space. Furthermore, the resulting quantum theory is equivalent to a model for diffeomorphism invariant gauge theories which replaces space with a manifestly combinatorial object.
Details
- Language :
- English
- ISSN :
- 00017701 and 15729532
- Volume :
- 30
- Issue :
- 8
- Database :
- Supplemental Index
- Journal :
- General Relativity and Gravitation
- Publication Type :
- Periodical
- Accession number :
- ejs37768206
- Full Text :
- https://doi.org/10.1023/A:1026699012787