Planck scale inflationary spectra from quantum gravity

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.

6 pages, no figures, final version to appear in PRD

References in corpus (2)

• Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
• The renormalization of the energy-momentum tensor for an effective initial state

Cited by in corpus (5)

• Inflation and the semiclassical dynamics of a conformal scalar field
• Inflation with a stringy minimal length, reworked
• A radiation-like era before inflation
• Hints of (trans-Planckian) asymptotic freedom in semiclassical cosmology
• Gravitational renormalization of quantum field theory: a "conservative" approach