Potential reconstruction from general power spectrum in single-field inflation
arXiv:2109.14241 · doi:10.1088/1475-7516/2022/01/012
Abstract
We suggest a new method to reconstruct, within canonical single-field inflation, the inflaton potential directly from the primordial power spectrum which may deviate significantly from near scale-invariance. Our approach relies on a more generalized slow-roll approximation than the standard one, and can probe the properties of the inflaton potential reliably. We give a few examples for reconstructing potential and discuss the validity of our method.
arXiv comment(v1) 12 pages, 2 figures; (v2) 13 pages, more clarifications, to appear in Journal of Cosmology and Astroparticle Physics
References in corpus (26)
- Planck 2018 results. X. Constraints on inflation
- Particle Physics Models of Inflation and the Cosmological Density Perturbation
- The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological Implications from two Decades of Spectroscopic Surveys at the Apache Point observatory
- Dark Energy Survey Year 3 Results: Cosmological Constraints from Galaxy Clustering and Weak Lensing
- Encyclopaedia Inflationaris
- Reconstructing the Inflaton Potential --- an Overview
- Inflationary perturbations from a potential with a step
- Particle physics models of inflation and curvaton scenarios
- The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
- Reconstructing the Inflaton Potential---in Principle and in Practice
- Primordial Black Holes from Polynomial Potentials in Single Field Inflation
- Inflation and WMAP three year data: Features have a Future!
- A Hamilton-Jacobi approach to non-slow-roll inflation
- The Spectrum of Density Perturbations produced during Inflation to Leading Order in a General Slow-Roll Approximation
- Second Order General Slow-Roll Power Spectrum
- Observing the Inflaton Potential
- The Power Spectrum for a Multi-Component Inflaton to Second-Order Corrections in the Slow-Roll Expansion
- Scale Dependent Spectral Index in Slow Roll Inflation
- Inflationary Steps in the Planck Data
- Breaking scale invariance from a singular inflaton potential
- Primordial features and Planck polarization
- General Slow-Roll Spectrum for Gravitational Waves
- From the Spectrum to Inflation : An Inverse Formula for the General Slow-Roll Spectrum
- Constraints on Primordial Power Spectrum from Galaxy Luminosity Functions
- Reconstruction of potentials of the hybrid inflation in the light of primordial black hole formation
- From the Spectrum to Inflation: A Second Order Inverse Formula for the General Slow-Roll Spectrum