Precanonical Perspective in Quantum Gravity
General Relativity and Quantum Cosmology
2009-10-31 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.gr-qc/0004066,
title = {Precanonical Perspective in Quantum Gravity},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:gr-qc/0004066},
year = {2009}
}
Comments
4 pages, LaTeX, espcrc2.sty. Based on the talk at the Third Meeting on Constrained Dynamics and Quantum Gravity QG99 (Villasimius, Sardinia, Italy, Sept. 13-17, 1999). To appear in Nucl. Phys. B Proc. Suppl. (2000). Minor misprints in the version in print corrected