Canonical quantization of gravity

Details Canonical quantization of gravity Canonical quantization of gravity

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985stin...8713372c&link_type=abstract

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Mathematics

Logic

Algebra, Canonical Forms, Commutators, Gravitation, Quantum Theory, Cosmology, Covariance, Hilbert Space, Space-Time Functions

Scientific paper

We present a scheme for carrying out in part the program of quantization of gravity in canonical form. The idea is to exploit the covariance of any Lagrangian theory under changes in the generalized coordinates, to select a particular ordering for the operator constraints of quantum gravity. A modified form of the canonical commutation relations (CRSs) is used which maintains full covariance under diffeomorphisms in three-space. The resulting commutator algebra of these operators is found to close, as required by consistency. Some remarks are made about the possible renormalizability and unitarity of the resulting theory, as well as the possible vanishing of the renormalized cosmological constant.

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