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Universal bound on N-point correlations from inflation.

Kendrick M Smith1, Marilena Loverde, Matias Zaldarriaga

  • 1Princeton University Observatory, Peyton Hall, Ivy Lane, Princeton, New Jersey 08544, USA.

Physical Review Letters
|December 21, 2011
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Summary

This study proves the Suyama-Yamaguchi inequality is always satisfied for cosmological inflation models. It clarifies how apparent violations in cosmic microwave background data, like from Planck, should be interpreted.

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Area of Science:

  • Cosmology
  • Theoretical Physics
  • Astrophysics

Background:

  • Cosmological inflation models can generate non-Gaussianity outside the observable horizon.
  • Curvaton models are examples that produce distinct higher-order correlation functions.
  • The Suyama-Yamaguchi inequality is a proposed test to distinguish between different inflation models.

Purpose of the Study:

  • To provide a general proof for the Suyama-Yamaguchi inequality.
  • To investigate scenarios where the inequality might appear violated in observational data.
  • To offer interpretations for apparent violations in experiments like Planck.

Main Methods:

  • Theoretical derivation of the Suyama-Yamaguchi inequality.
  • Analysis of higher-order correlation functions in cosmological models.
  • Examination of potential observational effects and experimental interpretations.

Main Results:

  • A rigorous proof is presented demonstrating that the Suyama-Yamaguchi inequality is universally satisfied.
  • Scenarios leading to apparent violations in experimental data are identified.
  • Methodologies for interpreting these apparent violations are discussed.

Conclusions:

  • The Suyama-Yamaguchi inequality holds true for a broad class of inflation models.
  • Apparent experimental violations do not invalidate the inequality but require careful interpretation.
  • This work strengthens the theoretical framework for distinguishing cosmological models using observational data.