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Phys. Rev. D 71, 023504 (2005) [12 pages]

Back-reaction and the trans-Planckian problem of inflation reexamined

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Robert H. Brandenberger*
Department of Physics, McGill University, Montréal, Québec, H3A 2T8, Canada
Perimeter Institute for Theoretical Physics, Waterloo, N2J 2W9, Canada
Department of Physics, Brown University, Providence, Rhode Island 02912, USA

Jérôme Martin
Institut d’Astrophysique de Paris, GReCO, 98bis Boulevard Arago, 75014 Paris, France

Received 22 October 2004; published 6 January 2005

It has recently been suggested that Planck scale physics may effect the evolution of cosmological fluctuations in the early stages of cosmological inflation in a nontrivial way, leading to an excited state for modes whose wavelength is super-Planck but sub-Hubble. In this case, the issue of how this excited state back-reacts on the background space-time arises. In fact, it has been suggested that such back-reaction effects may lead to tight constraints on the magnitude of possible deviations from the usual predictions of inflation. In this note we discuss some subtle aspects of this back-reaction issue and point out that rather than preventing inflation, the back-reaction of ultraviolet fluctuations may simply lead to a renormalization of the cosmological constant driving inflation.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.023504
DOI:
10.1103/PhysRevD.71.023504
PACS:
98.80.Cq

*Electronic address: rhb@het.brown.edu

Electronic address: jmartin@iap.fr