The Power Spectrum for a Multi-Component Inflaton to Second-Order Corrections in the Slow-Roll Expansion
نویسندگان
چکیده
We derive the power spectrum P(k) of the density perturbations produced during inflation up to second-order corrections in the standard slow-roll approximation for an inflaton with more than one degree of freedom. We also present the spectral index n up to first-order corrections including previously missing terms, and the running dn/d ln k to leading order.
منابع مشابه
The spectrum of cosmological perturbations produced by a multi-component inflaton to second order in the slow-roll approximation
We derive general analytic formulae for the power spectrum and spectral index of the curvature perturbation produced during inflation driven by a multi-component inflaton field, up to the second order in the slow-roll approximation. We do not assume any specific properties of the potential or the metric on the scalar field space, except for the slow-roll condition, Einstein gravity, and the abs...
متن کاملSecond-Order Corrections to the Power Spectrum in the Slow-Roll Expansion with a Time-Dependent Sound Speed
We extend Green’s function method developed by Stewart and Gong to calculate the power spectrum of density perturbation in the case with a time-dependent sound speed, and explicitly give the power spectrum and spectral index up to second-order corrections in the slow-roll expansion. The case of tachyon inflation is included as a special case. e-mail address: [email protected] e-mail address: cai...
متن کاملThe Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
We set up a formalism that can be used to calculate the power spectrum of the curvature perturbations produced during inflation up to arbitrary order in the slowroll expansion, and explicitly calculate the power spectrum and spectral index up to second-order corrections. [email protected] [email protected]
متن کاملInflaton field potential producing the exactly flat spectrum of adiabatic perturbations Alexei
Presented is the exact solution of the problem of finding a potential of an inflaton scalar field for which adiabatic perturbations generated during a de Sitter (inflationary) stage in the early Universe have the exactly flat (or, the Harrison-Zeldovich) initial spectrum. This solution lies outside the scope of the slow-roll approximation and higher-order corrections to it. The potential found ...
متن کاملFast Computation of First-Order Feature-Bispectrum Corrections
Features in the inflaton potential that are traversed in much less than an e-fold of the expansion can produce observably large non-Gaussianity. In these models first order corrections to the curvature mode function evolution induce effects at second order in the slow roll parameters that are generically greater than ∼ 10% and can reach order unity for order unity power spectrum features. From ...
متن کامل