Polynomial Hybrid Inflation

Abstract

We study a simple extension of Linde's hybrid inflation model, with the inflaton mass term replaced by the most general renormalizable potential for $\varphi$. The unprocessed power spectrum of density perturbations can have two minima and one maximum, roughly corresponding to two steep regions separated by a somewhat flat region in $V(\varphi )$. In the examples studied here, sufficient amount of inflation and normalization to COBE require a vacuum scale of $10^{16}$ GeV and a $\varphi$ mass of $10^{13}$ GeV. Depending on the initial value of $\varphi$, our model can give either less ($\sim n<1$) or more ($\sim n>1$) power on small scales compared to the scale-invariant spectrum ($n=1$), given the normalization to COBE.

LaTeX, 18 pages, 6 figures available on fnas08.fnal.gov via anonymous ftp (in pub/Personal/ywang), FERMILAB-Pub-94/086-A. (The previous posting was corrupted by NeXT mailer)

References in corpus (8)

• Hybrid Inflation
• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• Structure Formation with Cold + Hot Dark Matter
• Double Field Inflation
• Relating Spectral Indices to Tensor and Scalar Amplitudes in Inflation
• Confrontation of Double-Inflationary Models with Observations
• Statistical Constraints on the Inflation Effective Potential from the COBE DMR Results

Cited by in corpus (12)

• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Model-Independent Reconstruction of the Primordial Power Spectrum from WMAP Data
• Cosmology in the Next Millennium: Combining MAP and SDSS Data to Constrain Inflationary Models
• More varieties of hybrid inflation
• A Bayesian analysis of the primordial power spectrum
• WMAP 3-year primordial power spectrum
• Model Independent Primordial Power Spectrum from Maxima, Boomerang, and DASI Data
• Primordial Power Spectrum Reconstruction
• Direct Wavelet Expansion of the Primordial Power Spectrum
• Wavelet Band Powers of the Primordial Power Spectrum from CMB Data
• False Vacuum Inflation with a Quartic Potential
• Inflation and Inverse Symmetry Breaking