Observing the Inflaton Potential

Abstract

We show how observations of the density perturbation (scalar) spectrum and the gravitational wave (tensor) spectrum allow a reconstruction of the potential responsible for cosmological inflation. A complete functional reconstruction or a perturbative approximation about a single scale are possible; the suitability of each approach depends on the data available. Consistency equations between the scalar and tensor spectra are derived, which provide a powerful signal of inflation.

9 pages, LaTeX, FERMILAB--PUB--93/071--A; SUSSEX-AST 93/4-1

References in corpus (9)

• The Cold Dark Matter Density Perturbation
• COBE, Gravitational Waves, Inflation and Extended Inflation
• Cosmic Microwave Background Probes Models of Inflation
• Reconstructing the Inflaton Potential---in Principle and in Practice
• Grand Unification, Gravitational Waves, and the Cosmic Microwave Background Anisotropy
• Density Perturbations,Gravity Waves and the Cosmic Microwave Background
• The gravitational wave contribution to CMB anisotropies and the amplitude of mass fluctuations from COBE results
• On the Production of Scalar and Tensor Perturbations in Inflationary Models
• Contribution of Long Wavelength Gravitational Waves to the CMB Anisotropy

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• Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
• Power-Law Inflation from the Rolling Tachyon
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• Implications of the NANOGrav results for inflation
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• Inflationary interpretation of the stochastic gravitational wave background signal detected by pulsar timing array experiments
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• The Cosmic Microwave Background and Particle Physics
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• Monte Carlo reconstruction of the inflationary potential
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• On the Production of Scalar and Tensor Perturbations in Inflationary Models
• Recovering the Inflationary Potential
• Detectability of Tensor Perturbations Through CBR Anisotropy (final published version)
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• Reconstructing a general inflationary action
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• Primordial Black Holes, Eternal Inflation, and the Inflationary Parameter Space after WMAP5
• Inflation at Low Scales: General Analysis and a Detailed Model
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• The Knotted Sky II: Does BICEP2 require a nontrivial primordial power spectrum?
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• Extended Inflation with a Curvature-Coupled Inflaton
• Bayesian Analysis of Inflation III: Slow Roll Reconstruction Using Model Selection
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• Constraining Inflation
• Cosmological constraints on general, single field inflation
• Inflaton potential reconstruction without slow-roll
• Hamilton-Jacobi Formalism for Tachyon Inflation
• On the reliability of inflaton potential reconstruction
• Constraints in the Context of Induced-gravity Inflation
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• Testing Inflation with the Cosmic Microwave Background
• Impact of general reionization scenarios on extraction of inflationary parameters
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• Natural Braneworld Inflation in Light of Recent Results from Planck and BICEP2
• How much primordial tensor mode is allowed?
• The Impact of Prior Assumptions on Bayesian Estimates of Inflation Parameters and the Expected Gravitational Waves Signal from Inflation
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• Troubles for observing the inflaton potential
• Observing the Structure of the Landscape with the CMB Experiments
• A Fast and Accurate Algorithm for Computing Tensor CBR Anisotropy
• Statistical Constraints on the Inflation Effective Potential from the COBE DMR Results
• Constraining primordial tensor features with the anisotropies of the Cosmic Microwave Background
• Measuring the modified gravitational waves propagation beyond general relativity from CMB observations
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• Potential reconstruction from general power spectrum in single-field inflation
• Inflation: From Theory to Observation and Back
• Connecting Inflation to the NANOGrav 15-year Data Set via Massive Gravity
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