# Quantum Theory of Gravity. I. The Canonical Theory

@article{Dewitt1967QuantumTO, title={Quantum Theory of Gravity. I. The Canonical Theory}, author={Bryce S. Dewitt}, journal={Physical Review}, year={1967}, volume={160}, pages={1113-1148} }

Following an historical introduction, the conventional canonical formulation of general relativity theory is presented. The canonical Lagrangian is expressed in terms of the extrinsic and intrinsic curvatures of the hypersurface ${x}^{0}=\mathrm{constant}$, and its relation to the asymptotic field energy in an infinite world is noted. The distinction between finite and infinite worlds is emphasized. In the quantum theory the primary and secondary constraints become conditions on the state…

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