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Title: CMB anisotropies from a gradient mode

Abstract

A linear gradient mode must have no observable dynamical effect on short distance physics. We confirm this by showing that if there was such a gradient mode extending across the whole observable Universe, it would not cause any hemispherical asymmetry in the power of CMB anisotropies, as long as Maldacena's consistency condition is satisfied. To study the effect of the long wavelength mode on short wavelength modes, we generalize the existing second order Sachs-Wolfe formula in the squeezed limit to include a gradient in the long mode and to account for the change in the location of the last scattering surface induced by this mode. Next, we consider effects that are of second order in the long mode. A gradient mode Φ = q⋅x generated in Single-field inflation is shown to induce an observable quadrupole moment. For instance, in a matter-dominated model it is equal to Q = 5(q⋅x){sup 2}/18. This quadrupole can be canceled by superposition of a quadratic perturbation. The result is shown to be a nonlinear extension of Weinberg's adiabatic modes: a long-wavelength physical mode which looks locally like a coordinate transformation.

Authors:
;  [1]
  1. School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540 (United States)
Publication Date:
OSTI Identifier:
22525919
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ANISOTROPY; ASYMMETRY; COORDINATES; DISTANCE; DISTURBANCES; NONLINEAR PROBLEMS; QUADRUPOLE MOMENTS; RELICT RADIATION; SCATTERING; SURFACES; TRANSFORMATIONS; UNIVERSE; WAVELENGTHS

Citation Formats

Mirbabayi, Mehrdad, and Zaldarriaga, Matias. CMB anisotropies from a gradient mode. United States: N. p., 2015. Web. doi:10.1088/1475-7516/2015/03/056.
Mirbabayi, Mehrdad, & Zaldarriaga, Matias. CMB anisotropies from a gradient mode. United States. https://doi.org/10.1088/1475-7516/2015/03/056
Mirbabayi, Mehrdad, and Zaldarriaga, Matias. 2015. "CMB anisotropies from a gradient mode". United States. https://doi.org/10.1088/1475-7516/2015/03/056.
@article{osti_22525919,
title = {CMB anisotropies from a gradient mode},
author = {Mirbabayi, Mehrdad and Zaldarriaga, Matias},
abstractNote = {A linear gradient mode must have no observable dynamical effect on short distance physics. We confirm this by showing that if there was such a gradient mode extending across the whole observable Universe, it would not cause any hemispherical asymmetry in the power of CMB anisotropies, as long as Maldacena's consistency condition is satisfied. To study the effect of the long wavelength mode on short wavelength modes, we generalize the existing second order Sachs-Wolfe formula in the squeezed limit to include a gradient in the long mode and to account for the change in the location of the last scattering surface induced by this mode. Next, we consider effects that are of second order in the long mode. A gradient mode Φ = q⋅x generated in Single-field inflation is shown to induce an observable quadrupole moment. For instance, in a matter-dominated model it is equal to Q = 5(q⋅x){sup 2}/18. This quadrupole can be canceled by superposition of a quadratic perturbation. The result is shown to be a nonlinear extension of Weinberg's adiabatic modes: a long-wavelength physical mode which looks locally like a coordinate transformation.},
doi = {10.1088/1475-7516/2015/03/056},
url = {https://www.osti.gov/biblio/22525919}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 03,
volume = 2015,
place = {United States},
year = {Sun Mar 01 00:00:00 EST 2015},
month = {Sun Mar 01 00:00:00 EST 2015}
}