1212.6963 (I. V. Kanatchikov)

On precanonical quantization of gravity in spin connection variables    [PDF]

I. V. Kanatchikov

The basics of precanonical quantization and its relation to the functional Schroedinger picture in QFT are briefly outlined. The approach is then applied to quantization of Einstein's gravity in vielbein and spin connection variables and leads to quantum dynamics described by the covariant Schroedinger equation for the transition amplitudes on the bundle of spin connection coefficients over space-time, that constitutes 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.

View original: http://arxiv.org/abs/1212.6963