Unitarity of quantum-gravitational corrections to primordial fluctuations in the Born-Oppenheimer approach
arXiv:2011.06426 · doi:10.1103/PhysRevD.103.066005
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.
23 pages, clarifications and references added, published in Physical Review D
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- QFT in Curved Spacetime from Quantum Gravity: proper WKB decomposition of the gravitational component
- Beyond semiclassical time
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- Non-Gaussianities as a Signature of Quantumness of Quantum Cosmology
- Time and Evolution in Quantum and Classical Cosmology
- Quantum entanglement and non-Gaussianity in the primordial Universe
- Mode coupling on a geometrodynamical quantization of an inflationary universe
- Quantum gravity and quantum probability
- Reflected Waves and Quantum Gravity
- Quantum Gravity Corrections to the inflationary spectrum in a Bohmian approach
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