On precanonical quantization of gravity in spin connection variables
General Relativity and Quantum Cosmology
2015-06-12 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
The basics of precanonical quantization and its relation to the functional Schr\"odinger picture in QFT are briefly outlined. The approach is applied to quantization of Einstein's gravity in vielbein and spin connection variables and leads to a quantum dynamics described by the covariant Schr\"odinger equation for the transition amplitudes on the bundle of spin connection coefficients over the space-time, that yields a novel quantum description of space-time geometry. A toy model of precanonical quantum cosmology based on the example of flat FLRW universe is considered.
Cite
@article{arxiv.1212.6963,
title = {On precanonical quantization of gravity in spin connection variables},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:1212.6963},
year = {2015}
}
Comments
10 pages. v2: mostly corrects few typos. v3: published version in a different latex format and titles in the references. v4: corrects typo in eq. 7