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Phys. Rev. Lett. 101, 171301 (2008) [4 pages]

Reexamination of the Power Spectrum in De Sitter Inflation

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Iván Agulló* and José Navarro-Salas
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC. Facultad de Física, Universidad de Valencia, Burjassot-46100, Valencia, Spain

Gonzalo J. Olmo
Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5 Canada
Instituto de Estructura de la Materia, CSIC, Serrano 121, 28006 Madrid, Spain

Leonard Parker
Physics Department, University of Wisconsin-Milwaukee, P.O.Box 413, Milwaukee, Wisconsin 53201 USA

Received 5 June 2008; revised 6 August 2008; published 20 October 2008

See accompanying Physics Viewpoint

We find that the amplitude of quantum fluctuations of the invariant de Sitter vacuum coincides exactly with that of the vacuum of a comoving observer for a massless scalar (inflaton) field. We propose redefining the actual physical power spectrum as the difference between the amplitudes of the above vacua. An inertial particle detector continues to observe the Gibbons-Hawking temperature. However, although the resulting power spectrum is still scale-free, its amplitude can be drastically reduced since now, instead of the Hubble’s scale at the inflationary period, it is determined by the square of the mass of the inflaton fluctuation field.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.171301
DOI:
10.1103/PhysRevLett.101.171301
PACS:
98.80.Cq, 04.62.+v

*ivan.agullo@uv.es, jnavarro@ific.uv.es

golmo@perimeterinstitute.ca

leonard@uwm.edu