Multiple-field inflation and the CMB

Details Multiple-field inflation and the CMB Multiple-field inflation and the CMB

2003-07-02

arxiv.org/abs/astro-ph/0307048v2

Class.Quant.Grav.21:349-370,2004

Astronomy and Astrophysics

Astrophysics

24 pages. References added, some very minor textual changes, matches version to be published in CQG

Scientific paper

10.1088/0264-9381/21/2/002

In this paper, we investigate some consequences of multiple-field inflation for the cosmic microwave background radiation (CMB). We derive expressions for the amplitudes, the spectral indices and the derivatives of the indices of the CMB power spectrum in the context of a very general multiple-field theory of slow-roll inflation, where the field metric can be non-trivial. Both scalar (adiabatic, isocurvature and mixing) and tensor perturbations are treated and the differences with single-field inflation are discussed. From these expressions, several relations are derived that can be used to determine the importance of multiple-field effects observationally from the CMB. We also study the evolution of the total entropy perturbation during radiation and matter domination and the influence of this on the isocurvature spectral quantities.

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