Erratum: Statistical anisotropy in the inflationary universe

Abstract

An error was made when calculating the amplitude of the perturbed scalar mode after Hubble-radius crossing. When corrected, it eliminates the leading term in the statistical anisotropy of the power spectrum, reducing it from the previously claimed upper estimate of $\lesssim 10^{-2}$ to the level of at most $10^{-6}$, which is beyond the possibility of detection. The general conclusion is that a single-field inflationary scenario cannot produce statistical anisotropy of appreciable magnitude.

2 pages, Erratum to the paper, to appear in Phys. Rev. D

References in corpus (20)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Inflationary Universe with Anisotropic Hair
• Increasing evidence for hemispherical power asymmetry in the five-year WMAP data
• Theory of cosmological perturbations in an anisotropic universe
• A Hemispherical Power Asymmetry from Inflation
• Cosmic Microwave Background Statistics for a Direction-Dependent Primordial Power Spectrum
• Predictions from an anisotropic inflationary era
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• Superhorizon Perturbations and the Cosmic Microwave Background
• Anisotropic Inflation from Vector Impurity
• Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from Noncommutative Geometry
• Constraints from CMB on Spacetime Noncommutativity and Causality Violation
• Anomalous CMB north-south asymmetry
• Trans-Planckian wimpzillas
• Statistical Isotropy of CMB Polarization Maps
• Measuring Statistical Isotropy of CMB Anisotropy
• Nonlinear Evolution of Anisotropic Cosmological Power
• The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications
• Hints of (trans-Planckian) asymptotic freedom in semiclassical cosmology
• Trans-Planckian Issue in the Milne Universe

Cited by in corpus (12)

• Cosmological Magnetic Fields from Inflation and Backreaction
• Non-isotropy in the CMB power spectrum in single field inflation
• Non-detection of a statistically anisotropic power spectrum in large-scale structure
• Testing gaussianity, homogeneity and isotropy with the cosmic microwave background
• Constraint on noncommutative spacetime from PLANCK data
• Scalar perturbations in conformal rolling scenario with intermediate stage
• Bipolar Harmonic encoding of CMB correlation patterns
• Is the cold spot responsible for the CMB North-South asymmetry?
• Searching for planar signatures in WMAP
• Statistical Isotropy violation of the CMB brightness fluctuations
• Statistical anisotropy as a consequence of inflation
• A Study of Gaussianity in CMB band maps