From the Spectrum to Inflation : An Inverse Formula for the General Slow-Roll Spectrum

Abstract

We propose a general inverse formula for extracting inflationary parameters from the observed power spectrum of cosmological perturbations. Under the general slow-roll scheme, which helps to probe the properties of inflation in a model independent way, we invert the leading order, single field, power spectrum formula. We also give some physically interesting examples to demonstrate its wide applicability and illuminate its properties.

arXiv comment8 pages, no figure ; References expanded

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Cited by in corpus (19)

• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Generalized Slow Roll for Large Power Spectrum Features
• Breaking scale invariance from a singular inflaton potential
• Precision of Inflaton Potential Reconstruction from CMB Using the General Slow-Roll Approximation
• A New delta N Formalism for Multi-Component Inflation
• New constraints on the observable inflaton potential from WMAP and SDSS
• Correlating correlation functions of primordial perturbations
• Limits on primordial power spectrum resolution: An inflationary flow analysis
• Planck residuals anomaly as a fingerprint of alternative scenarios to inflation
• Lensing anomaly and oscillations in the primordial power spectrum
• Parameterizing the Power Spectrum: Beyond the Truncated Taylor Expansion
• Modular thermal inflation without slow-roll approximation
• The impact of theoretical assumptions in the determination of the neutrino effective number from future CMB measurements
• Can power spectrum observations rule out slow-roll inflation?
• From the Spectrum to Inflation: A Second Order Inverse Formula for the General Slow-Roll Spectrum
• Dark energy in hybrid inflation
• Potential reconstruction from general power spectrum in single-field inflation
• Inflationary Hubble Parameter from the Gravitational Wave Spectrum in the General Slow-roll Approximation
• Mimicking two field inflationary features with a single field