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Phys. Rev. Lett. 89, 281301 (2002) [4 pages]

The Inflationary Perturbation Spectrum

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Salman Habib1, Katrin Heitmann1, Gerard Jungman1, and Carmen Molina-París2
1Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
2Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Received 23 August 2002; published 27 December 2002

Motivated by the prospect of testing inflation from precision cosmic microwave background observations, we present analytic results for scalar and tensor perturbations in single-field inflation models, based on the application of uniform approximations. This technique is systematically improvable, possesses controlled error bounds, and does not rely on assuming the slow-roll parameters to be constant. We provide closed form expressions for the power spectra and the corresponding scalar and tensor spectral indices.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.281301
DOI:
10.1103/PhysRevLett.89.281301
PACS:
98.80.Cq