Precanonical Perspective in Quantum Gravity

Details Precanonical Perspective in Quantum Gravity Precanonical Perspective in Quantum Gravity

2000-04-19

arxiv.org/abs/gr-qc/0004066v1

Nucl.Phys.Proc.Suppl. 88 (2000) 326-330

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, LaTeX, espcrc2.sty. Based on the talk at the Third Meeting on Constrained Dynamics and Quantum Gravity QG99 (Villasim

Scientific paper

10.1016/S0920-5632(00)00795-7

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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