Chataignier, Leonardo ORCID: 0000-0001-6691-3695 (2020). Construction of quantum Dirac observables and the emergence of WKB time. Phys. Rev. D, 101 (8). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

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Abstract

We describe a method of construction of gauge-invariant operators (Dirac observables or evolving constants of motion) from the knowledge of the eigenstates of the gauge generator in time-reparametrization invariant mechanical systems. These invariant operators evolve unitarily with respect to an arbitrarily chosen time variable. We emphasize that the dynamics is relational, both in the classical and quantum theories. In this framework, we show how the emergent Wentzel-KramersBrillouin time often employed in quantum cosmology arises from a weak-coupling expansion of invariant transition amplitudes, and we illustrate an example of singularity avoidance in a vacuum Bianchi I (Kasner) model.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Chataignier, LeonardoUNSPECIFIEDorcid.org/0000-0001-6691-3695UNSPECIFIED
URN: urn:nbn:de:hbz:38-338328
DOI: 10.1103/PhysRevD.101.086001
Journal or Publication Title: Phys. Rev. D
Volume: 101
Number: 8
Date: 2020
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2470-0029
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
GAUGE-INVARIANCE; MECHANICS; GRAVITY; QUANTIZATIONMultiple languages
Astronomy & Astrophysics; Physics, Particles & FieldsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/33832

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