Planck scale inflationary spectra from quantum gravity
Gian Luigi Alberghi, Roberto Casadio, Alessandro Tronconi
TL;DR
This paper derives how quantum gravity effects influence inflationary spectra, showing that high-energy corrections are minimal if the initial state is the Bunch-Davies vacuum, using a semiclassical approach from the Wheeler-DeWitt equation.
Contribution
It introduces a semiclassical derivation of inflationary spectra from quantum gravity, revealing that trans-Planckian effects are negligible under standard initial conditions.
Findings
High-energy corrections are very small in the power spectrum.
Effective modified dispersion relations describe trans-Planckian mode dynamics.
Bunch-Davies vacuum minimizes quantum gravity corrections.
Abstract
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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