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

Byrnes C, Wands D (2006)
Phys.Rev. D 74(4): 043529.

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We calculate the power spectra of primordial curvature and isocurvatureperturbations from a general two field inflation model at next-to-leading ordercorrection in a slow-roll expansion. In particular we calculate the spectralindices to second order in slow-roll parameters. We show that thecross-correlation of the curvature and isocurvature perturbations at the timeof Hubble-exit during inflation is non-zero at first-order in slow-rollparameters. We apply our results to different classes of inflation, includinginflaton and curvaton scenarios. The spectrum of primordial gravitationalwaves, curvature and isocurvature perturbations obey generalised consistencyrelations in two-field inflation models. We give the first two consistencyrelations in an infinite hierarchy.
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Byrnes C, Wands D. Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion. Phys.Rev. D. 2006;74(4):043529.
Byrnes, C., & Wands, D. (2006). Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion. Phys.Rev. D, 74(4), 043529. doi:10.1103/PhysRevD.74.043529
Byrnes, C., and Wands, D. (2006). Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion. Phys.Rev. D 74, 043529.
Byrnes, C., & Wands, D., 2006. Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion. Phys.Rev. D, 74(4), p 043529.
C. Byrnes and D. Wands, “Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion”, Phys.Rev. D, vol. 74, 2006, pp. 043529.
Byrnes, C., Wands, D.: Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion. Phys.Rev. D. 74, 043529 (2006).
Byrnes, Christian, and Wands, David. “Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion”. Phys.Rev. D 74.4 (2006): 043529.
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