Mode coupling on a geometrodynamical quantization of an inflationary universe

A geometrodynamical quantization of an inflationary universe is considered in order to estimate quantum-gravity effects for the primordial perturbations. Contrary to previous studies in the literature, the back-reaction produced by all the modes of the system is included in our computations. Even if...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: Brizuela, David, de Leon, Irene
Format: Article
Language:English
Subjects:
Coupled modes
Field theory
Measurement
Perturbation
Quantum field theory
Quantum theory
Universe
Online Access:Get full text
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Summary:A geometrodynamical quantization of an inflationary universe is considered in order to estimate quantum-gravity effects for the primordial perturbations. Contrary to previous studies in the literature, the back-reaction produced by all the modes of the system is included in our computations. Even if at a classical level the assumption that every mode evolves independently provides a good estimate for the dynamics, our results explicitly show that this is not the case when considering quantum-gravity effects. More precisely, both the self-interaction, as well as the back-reaction from other modes, provide a correction of the same order of magnitude to the usual power spectrum as computed in the approximation of quantum field theory on classical backgrounds. In particular, these quantum-gravity effects introduce certain characteristic scale-dependence on the expression of the power spectrum.
ISSN:2331-8422
DOI:10.48550/arxiv.2105.03138