# Planck scale inflationary spectra from quantum gravity

@article{Alberghi2006PlanckSI, title={Planck scale inflationary spectra from quantum gravity}, author={Gian Luigi Alberghi and Roberto Casadio and Alessandro Tronconi}, journal={Physical Review D}, year={2006}, volume={74}, pages={103501} }

We derive the semiclassical evolution of massless minimally coupled scalar matter in the de Sitter space-time from the Born-Oppenheimer reduction of the Wheeler-DeWitt equation. We show that the dynamics of trans-Planckian modes can be cast in the form of an effective modified dispersion relation and that high energy corrections in the power spectrum of the cosmic microwave background radiation produced during inflation remain very small if the initial state is the Bunch-Davies vacuum.

## 15 Citations

### Inflation and the semiclassical dynamics of a conformal scalar field

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We derive the semiclassical evolution of massless conformally coupled scalar matter in the de Sitter space-time from the Born-Oppenheimer reduction of the Wheeler-DeWitt equation. We find a…

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We employ the semiclassical approximation to the Wheeler–DeWitt equation in the spatially flat de Sitter Universe to investigate the dynamics of a minimally coupled scalar field near the Planck…

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The spectrum of primordial perturbations obtained by calculating the quantum gravitational corrections to the dynamics of scalar perturbations is compared with Planck 2013 and BICEP2/Keck Array…

### Quantum gravity, time, bounces, and matter

- PhysicsPhysical Review D
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In the context of Quantum Cosmology and the Wheeler-DeWitt equation we investigate the possible effects of a non semiclassical wave-function of the universe on the evolution of the inflationary…

### Induced gravity and quantum cosmology

- PhysicsPhysical Review D
- 2019

We study the Wheeler-DeWitt equation for a class of induced gravity models in the minisuperspace approximation. In such models a scalar field nonminimally coupled to gravity determines the effective…

### Quantum cosmology and the inflationary spectra from a nonminimally coupled inflaton

- MathematicsPhysical Review D
- 2020

We calculate the quantum gravitational corrections to the Mukhanov-Sasaki equation obtained by the canonical quantization of the inflaton-gravity system. Our approach, which is based on the…

### Gravitational renormalization of quantum field theory: A 'Conservative' approach

- Physics
- 2009

We propose general guidelines in order to incorporate the geometrical description of gravity in quantum field theory and address the problem of UV divergences non-perturbatively. In our aproach, each…

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