On precanonical quantization of gravity in spin connection variables

Journal Article · Thu Feb 21 00:00:00 EST 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4791728· OSTI ID:22113532

Kanatchikov, I. V. ^[1]

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1. National Center of Quantum Information in Gdansk (KCIK), 81-824 Sopot (Poland)

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 a quantum dynamics described by the covariant Schroedinger equation for the transition amplitudes on the bundle of spin connection coefficients over 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.

• OSTI ID: 22113532
• Journal Information: AIP Conference Proceedings, Vol. 1514, Issue 1; Conference: Multicosmofun '12: Multiverse and fundamental cosmology conference, Szczecin (Poland), 10-14 Sep 2012; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGY
EINSTEIN FIELD EQUATIONS
GRAVITATION
QUANTIZATION
QUANTUM FIELD THEORY
SCHROEDINGER EQUATION
SCHROEDINGER PICTURE
SPACE-TIME
SPIN
TRANSITION AMPLITUDES
UNIVERSE