Canonical quantization of Plebanski gravity in diagonal variables
arXiv:0805.4004
Abstract
In this paper we have carried out a transformation from Ashtekar's theory of GR into a reduced theory where the physical degrees of freedom are explicit. We have performed the canonical analysis, computed the classical dynamics and have performed a quantization on this reduced space, constructing a Hilbert space of states for vanishing cosmological constant. Finally, we have clarified the canonical structure of the dual theory in relation to the original Ashtekar theory.
26 pages
References in corpus (7)
- Quantum gravity with a positive cosmological constant
- Note on non-metric gravity
- Finite states in four dimensional quantized gravity
- A systematic approach to the solution of the constraints of quantum gravity: The full theory
- Instanton representation of Plebanski gravity. Consistency of the initital value constraints under time evolution
- Instanton representation of Plebanski gravity: XIII. Canonical structure of the Petrov classification of nondegenerate spacetimes
- Instanton representation of Plebanski gravity: XVIII. Quantization and proposed resolution of the Kodama state