Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion

Details Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion

2006-05-26

arxiv.org/abs/astro-ph/0605679v3

Phys.Rev. D74 (2006) 043529

Astronomy and Astrophysics

Astrophysics

16 pages, no figures; v2- version published in PRD; v3- corrections to second order terms in several equations

Scientific paper

10.1103/PhysRevD.74.043529

We calculate the power spectra of primordial curvature and isocurvature perturbations from a general two field inflation model at next-to-leading order correction in a slow-roll expansion. In particular we calculate the spectral indices to second order in slow-roll parameters. We show that the cross-correlation of the curvature and isocurvature perturbations at the time of Hubble-exit during inflation is non-zero at first-order in slow-roll parameters. We apply our results to different classes of inflation, including inflaton and curvaton scenarios. The spectrum of primordial gravitational waves, curvature and isocurvature perturbations obey generalised consistency relations in two-field inflation models. We give the first two consistency relations in an infinite hierarchy.

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