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Galaxies 2018, 6(1), 6;

Quantum-Gravitational Effects on Primordial Power Spectra in Slow-Roll Inflationary Models

Fisika Teorikoa eta Zientziaren Historia Saila, UPV/EHU, 644 P.K., 48080 Bilbao, Spain
Instytut Fizyki, Uniwersytet Szczeciński, Wielkopolska 15, 70-451 Szczecin, Poland
Author to whom correspondence should be addressed.
Received: 30 November 2017 / Revised: 3 January 2018 / Accepted: 3 January 2018 / Published: 8 January 2018
(This article belongs to the Special Issue Cosmology and the Quantum Vacuum)
Full-Text   |   PDF [242 KB, uploaded 8 January 2018]


We review the computation of the power spectra of inflationary gauge-invariant perturbations in the context of canonical quantum gravity for generic slow-roll models. A semiclassical approximation, based on an expansion in inverse powers of the Planck mass, is applied to the complete Wheeler–DeWitt equation describing a perturbed inflationary universe. This expansion leads to a hierarchy of equations at consecutive orders of the approximation and allows us to write down a corrected Schrödinger equation that encodes information about quantum-gravitational effects. The analytical dependence of the correction to the power spectrum on the wavenumber is obtained. Nonetheless, some numerical work is needed in order to obtain its precise value. Finally, it is shown that the correction turns out to be positive, which leads to an enhancement of the power spectrum especially prominent for large scales. We will also discuss whether this correction leads to a measurable effect in the cosmic microwave background anisotropies. View Full-Text
Keywords: quantum cosmology; slow-roll inflation; cosmic microwave background quantum cosmology; slow-roll inflation; cosmic microwave background
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Brizuela, D.; Krämer, M. Quantum-Gravitational Effects on Primordial Power Spectra in Slow-Roll Inflationary Models. Galaxies 2018, 6, 6.

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