Erratum: Statistical anisotropy in the inflationary universe

preprint2011arXivOpen access

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 ≲10−2\lesssim 10^{-2} to the level of at most 10−610^{-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.

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