Curvature and isocurvature perturbations in two-field inflation

Abstract

We study cosmological perturbations in two-field inflation, allowing for non-standard kinetic terms. We calculate analytically the spectra of curvature and isocurvature modes at Hubble crossing, up to first order in the slow-roll parameters. We also compute numerically the evolution of the curvature and isocurvature modes from well within the Hubble radius until the end of inflation. We show explicitly for a few examples, including the recently proposed model of `roulette' inflation, how isocurvature perturbations affect significantly the curvature perturbation between Hubble crossing and the end of inflation.

arXiv comment29 pages, 12 figures; v2: updated references, discussion extended, matches the published version

References in corpus (25)

• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Adiabatic and entropy perturbations from inflation
• Super-Horizon Scale Dynamics of Multi-Scalar Inflation
• Kahler Moduli Inflation
• Correlated adiabatic and isocurvature perturbations from double inflation
• Primordial trispectrum from inflation
• Adiabatic and Isocurvature Perturbations for Multifield Generalized Einstein Models
• Cosmological perturbations from multi-field inflation in generalized Einstein theories
• Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion
• Conserved non-linear quantities in cosmology
• Evolution of non-linear cosmological perturbations
• Roulette Inflation with Kähler Moduli and their Axions
• Inflating in a Better Racetrack
• Spectral Running and Non-Gaussianity from Slow-Roll Inflation in Generalised Two--Field Models
• Correlation-consistency cartography of the double inflation landscape
• Nonlinear perturbations of cosmological scalar fields
• Density Perturbations in Multifield Inflationary Models
• Racetrack inflation and assisted moduli stabilisation
• Slow-roll Inflation for Generalized Two-Field Lagrangians
• Oscillations During Inflation and the Cosmological Density Perturbations
• Multiple-field inflation and the CMB
• The spectrum of curvature perturbations from hybrid inflation
• Holographic Grand Unification
• The Price of WMAP Inflation in Supergravity
• Inflation, quantum fluctuations and cosmological perturbations

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