Approximate Consistency Condition from Running Spectral Index in Slow-Roll Inflationary Models

Abstract

Density perturbations generated from inflation almost always have a spectral index n_s which runs (varies with the wavelength). We explore a running spectral index scenario in which the scalar spectral index runs from blue (n_s >1) on large length scales to red (n_s<1) on short length scales. Specifically, we look for a correlation between the length scale at which n_s-1=0 and the length scale at which tensor to scalar ratio T/S reaches a minimum for single field slow roll inflationary models. By computing the distribution of length scale ratios, we conclude that there indeed is a new approximate consistency condition that is characteristic of running spectral index scenarios that run from blue to red. Specifically, with strong running, we expect 96% of the slow roll models to have the two length scales to be within a factor of 2, with the length scale at which the tensor to scalar ratio reaching a minimum longer than the wavelength at which n_s-1=0.

18 pages, 2 figures

References in corpus (12)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Gravitational lensing as a contaminant of the gravity wave signal in CMB
• Cosmic Microwave Background Fluctuations from Gravitational Waves: An Analytic Approach
• Is There A String Theory Landscape
• WMAPping inflationary physics
• Inflaton field potential producing the exactly flat spectrum of adiabatic perturbations
• Running of the Scalar Spectral Index from Inflationary Models
• Inflationary potentials yielding constant scalar perturbation spectral indices
• Running of the Scalar Spectral Index and Observational Signatures of Inflation
• Primordial Gravitational Waves and Inflation: CMB and Direct Detection With Space-Based Laser Interferometers

Cited by in corpus (9)

• Reconstructing a general inflationary action
• Inflationary Potential Reconstruction for a WMAP Running Power Spectrum
• Cosmological constraints on general, single field inflation
• Conservative Estimates of the Mass of the Neutrino from Cosmology
• Large Blue Spectral Isocurvature Spectral Index Signals Time-Dependent Mass
• Curvatons and inhomogeneous scenarios with deviation from slow-roll
• One spectrum to rule them all?
• Degeneracy in the spectrum and bispectrum among featured inflaton potentials
• From WMAP to Planck: Exact reconstruction of 4- and 5-dimensional inflationary potential from high precision CMB measurements