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Precanonical Perspective in Quantum Gravity

I. V. Kanatchikov
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Abstract

Quantization of general relativity in metric variables using ``precanonical'' quantization based on the De Donder-Weyl covariant Hamiltonian formulation is outlined. Elements of classical geometry needed to formulate the (Dirac-like) wave equation emerge from a self-consistency with the underlying quantum dynamics of the metric. In this sense the formulation can be viewed as independent from an arbitrarily fixed background.

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I. V. Kanatchikov. 2000-04-19. Precanonical Perspective in Quantum Gravity. https://doi.org/10.1016/s0920-5632(00)00795-7

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