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Phys. Rev. D 74, 103501 (2006) [6 pages]

Planck scale inflationary spectra from quantum gravity

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Gian Luigi Alberghi1,2,*, Roberto Casadio1,†, and Alessandro Tronconi1,‡
1Dipartimento di Fisica, Università di Bologna, and I.N.F.N., Sezione di Bologna, via Irnerio 46, 40126 Bologna, Italy
2Department of Astronomy, University of Bologna, via Ranzani 1, 40127 Bologna, Italy

Received 19 June 2006; published 1 November 2006

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.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.103501
DOI:
10.1103/PhysRevD.74.103501
PACS:
98.80.Cq, 04.60.Ds, 04.62.+v, 98.70.Vc

*Electronic address: alberghi@bo.infn.it

Electronic address: casadio@bo.infn.it

Electronic address: tronconi@bo.infn.it