Chataignier, Leonardo ORCID: 0000-0001-6691-3695 and Kraemer, Manuel (2021). Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach. Phys. Rev. D, 103 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0029

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Abstract

We revisit the calculation of quantum-gravitational corrections to the power spectra of scalar and tensor perturbations in the Born-Oppenheimer approach to quantum gravity. We focus on the issue of the definition of the inner product of the theory and the unitarity of the corrections to the dynamics of the cosmological perturbations. We argue that the correction terms are unitary, provided the inner product is defined in a suitable way, which can be related to a notion of gauge fixing the time variable and the use of conditional probabilities in quantum cosmology. We compare the corrections obtained within this framework to earlier results in the literature and we conclude with some remarks on the physical interpretation of the correction terms.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Chataignier, LeonardoUNSPECIFIEDorcid.org/0000-0001-6691-3695UNSPECIFIED
Kraemer, ManuelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-570240
DOI: 10.1103/PhysRevD.103.066005
Journal or Publication Title: Phys. Rev. D
Volume: 103
Number: 6
Date: 2021
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 2470-0029
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
WHEELER-DEWITT EQUATION; SCALAR FIELD; GRAVITY; TIME; ORIGIN; RENORMALIZATION; PERTURBATIONS; PROBABILITY; DECOHERENCE; UNIVERSEMultiple languages
Astronomy & Astrophysics; Physics, Particles & FieldsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/57024

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