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. 
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