Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations

Abstract

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 depends on two arbitrary physical constants, one of those determines an amplitude of perturbations. For small (zero) values of the other constant, a long (infinite) inflationary stage with slow rolling of the inflaton field exists.

arXiv comment8 pages, 1 eps.fig. JETP Lett. (2005), in press

References in corpus (16)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• Semiclassicality and Decoherence of Cosmological Perturbations
• Cosmological constraints from Archeops
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• Perturbation Spectra from Intermediate Inflation
• SDSS galaxy bias from halo mass-bias relation and its cosmological implications
• Intermediate inflation and the slow-roll approximation
• The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
• The precision of slow-roll predictions for the CMBR anisotropies
• Characterizing Inflationary Perturbations: The Uniform Approximation
• Scale Dependent Spectral Index in Slow Roll Inflation
• Improved WKB analysis of cosmological perturbations
• Inflationary potentials yielding constant scalar perturbation spectral indices
• An Inflationary Model with an Exact Perturbation Spectrum
• Gauge Unification via Stable Brane Recombination

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