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Published April 15, 2010 | Published
Journal Article Open

Translational invariance and the anisotropy of the cosmic microwave background

  • 1. ROR icon California Institute of Technology

Abstract

Primordial quantum fluctuations produced by inflation are conventionally assumed to be statistically homogeneous, a consequence of translational invariance. In this paper we quantify the potentially observable effects of a small violation of translational invariance during inflation, as characterized by the presence of a preferred point, line, or plane.We explore the imprint such a violation would leave on the cosmic microwave background anisotropy, and provide explicit formulas for the expected amplitudes <а_(lm)а^*_(l'm')> of the spherical-harmonic coefficients.

Additional Information

© 2010 The American Physical Society. Received 27 August 2009; published 1 April 2010. This research was supported in part by the U.S. Department of Energy and by the Gordon and Betty Moore Foundation.

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