Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
- 1 November 1995
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 36 (11), 6456-6493
- https://doi.org/10.1063/1.531252
Abstract
Quantization of diffeomorphism invariant theories of connections is studied. A solutions of the diffeomorphism constraints is found. The space of solutions is equipped with an inner product that is shown to satisfy the physical reality conditions. This provides, in particular, a quantization of the Husain-Kucha\v{r} model. The main results also pave way to quantization of other diffeomorphism invariant theories such as general relativity. In the Riemannian case (i.e., signature ++++), the approach appears to contain all the necessary ingredients already. In the Lorentzian case, it will have to combined in an appropriate fashion with a coherent state transform to incorporate complex connections.Keywords
Other Versions
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