Hubble slow roll expansion for multifield inflation

Richard Easther and John T. Giblin, Jr.

Phys. Rev. D 72, 103505 – Published 8 November 2005

Abstract

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.

Received 17 May 2005

DOI:https://doi.org/10.1103/PhysRevD.72.103505

Authors & Affiliations

Richard Easther^1,* 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

^*Electronic address: richard.easther@yale.edu
^†Electronic address: jtg@het.brown.edu

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Vol. 72, Iss. 10 — 15 November 2005

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Physical Review D

covering particles, fields, gravitation, and cosmology