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Phys. Rev. D 72, 103505 (2005) [7 pages]

Hubble slow roll expansion for multifield inflation

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Richard Easther1,* and John T. Giblin, Jr.2,†
1Department of Physics, Yale University, New Haven, Connecticut 06520, USA
2Department of Physics, Brown University, Providence, Rhode Island 02912, USA

Received 17 May 2005; published 8 November 2005

We examine the dynamics of inflation driven by multiple, interacting scalar fields and derive a multifield version of the Hubble slow roll expansion. We show that the properties of this expansion naturally generalize those of the single field case. We present an analogous hierarchy of slow roll parameters, and derive the system of flow equations that describes their evolution, and show that when this system is truncated at finite order, it can always be solved exactly. Lastly, we express the scalar and tensor perturbation spectra in terms of the slow roll parameters.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.103505
DOI:
10.1103/PhysRevD.72.103505
PACS:
98.80.Cq

*Electronic address: richard.easther@yale.edu

Electronic address: jtg@het.brown.edu