Confrontation of Double-Inflationary Models with Observations

Abstract

We consider double-inflationary models with two noninteracting scalar fields, a light scalar field ${\varphi }_l$ with potential $\frac{1}{2}{m}_l^2{\varphi }_l^2$ and a heavy scalar field ${\varphi }_h$ with potential $\frac{\lambda }{n}{\varphi }_h^n$ with $n=2,4$. CDM with the initial spectrum of adiabatic perturbations produced in these models is compared with observations. These models contain two more free parameters than the standard CDM model with an initial scale-invariant spectrum. We normalize our spectra to COBE DMR and compare the predictions with observations on the biasing factor, large-scale peculiar velocities, quasar and galaxy formation and the Stromlo-APM counts-in-cells analysis. The model with $n=4$ is excluded by the data while for the $n=2$ model, taking cosmic variance into account, a small window of parameters compatible with observations is found.

15 pages LaTeX-REVTeX, 3 figures available upon request, DAMTP-R94/20, YITP/U-94-6

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• Features in the primordial power spectrum of double D-term inflation
• Natural Double Inflation in Supergravity
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• Rollercoaster Cosmology
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• Characteristics of Cosmic Time
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• Multi-chaotic inflation with and without spectator field
• Testing Two-Field Inflation
• Tilt and Tensor-to-Scalar Ratio in Multi-Scalar Field Inflation: Non-Sum-Separable Case