Inverse-Scattering Theory and the Density Perturbations from Inflation

Abstract

Inflationary cosmology provides a successful paradigm for solving several problems, notably the generation of density perturbations which seed the formation of observed cosmic structure. We show how to use inverse scattering theory as the basis for the inflationary reconstruction program, the goal of which is to gain information about the physics which drives inflation. Inverse scattering theory provides an effective and well-motivated procedure, having a sound mathematical basis and being of sufficient generality that it can be considered the foundation for a non-parametric reconstruction program. We show how simple properties of the power spectrum translate directly into statements about the evolution of the background geometry during inflation.

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Cited by in corpus (10)

• Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations
• Bayesian Analysis of Inflation: Parameter Estimation for Single Field Models
• Precision of Inflaton Potential Reconstruction from CMB Using the General Slow-Roll Approximation
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• Systematics of multi-field effects at the end of warped brane inflation
• From the Spectrum to Inflation : An Inverse Formula for the General Slow-Roll Spectrum
• From the Spectrum to Inflation: A Second Order Inverse Formula for the General Slow-Roll Spectrum
• Troubles for observing the inflaton potential
• Inflationary Dynamics Reconstruction via Inverse-Scattering Theory
• Inflationary Hubble Parameter from the Gravitational Wave Spectrum in the General Slow-roll Approximation