Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion
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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 nonzero 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 generalized consistency relations in two-field inflation models. We give the first two consistency relations in an infinite hierarchy.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography
View Paper: https://www.semanticscholar.org/paper/58f88a052389624b47583d627e30e7d7cf8e79b4
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Oceanography
Citations in the corpus
- Non-linear isocurvature perturbations and non-Gaussianities (2008, background): “At leading order in a slow-roll expansion the adiabatic and entropy field perturbations are independent Gaussian random fields, with [47, 48]”
- Planck2018 results (2018, background): “[See, e.g., Byrnes & Wands (2006)].”