Observational constraint on the fourth derivative of the inflaton potential
arXiv:hep-ph/0210095 · doi:10.1046/j.1365-8711.2003.06164.x
Abstract
We consider the flow-equations for the 3 slow-roll parameters n_S (scalar spectral index), r (tensor to scalar ratio), and dn_S/dlnk (running of the spectral index). We show that the combination of these flow-equations with the observational bounds from cosmic microwave background and large scale structure allows one to put a lower bound on the fourth derivative of the inflationary potential, M_P^4(V''''/V) > -0.02.
arXiv comment3 pages, 3 figures
References in corpus (14)
- Particle Physics Models of Inflation and the Cosmological Density Perturbation
- Reconstructing the Inflaton Potential --- an Overview
- Determination of Inflationary Observables by Cosmic Microwave Background Anisotropy Experiments
- COBE, Gravitational Waves, Inflation and Extended Inflation
- CBR Anisotropy and the Running of the Scalar Spectral Index
- Cosmological parameter estimation and the inflationary cosmology
- Is cosmology consistent?
- Kinematic Constraints to the Key Inflationary Observables
- Four-year COBE normalization of inflationary cosmologies
- Dependence of Inflationary Reconstruction upon Cosmological Parameters
- Constraints on inflation from CMB and Lyman-alpha forest
- Probing the power spectrum bend with recent CMB data
- Slow-roll inflation and CMB anisotropy data
- Observational constraints on the inflaton potential combined with flow-equations in inflaton space
Cited by in corpus (8)
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
- Slow Roll Reconstruction: Constraints on Inflation from the 3 Year WMAP Dataset
- New constraints on the observable inflaton potential from WMAP and SDSS
- Running of the Scalar Spectral Index and Observational Signatures of Inflation
- "Finite" Non-Gaussianities and Tensor-Scalar Ratio in Large Volume Swiss-Cheese Compactifications
- Running of Running of the Spectral Index and WMAP Three-year data
- Slow-roll reconstruction for running spectral index
- GUT-scale inflation with sizeable tensor modes