Non-Gaussianity from isocurvature perturbations: analysis of trispectrum

Journal Article · Tue Sep 01 04:00:00 EDT 2009 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2009/09/002· OSTI ID:22273247

Kawakami, Etsuko; Kawasaki, Masahiro; Nakayama, Kazunori ^[1]; Takahashi, Fuminobu ^[2]

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1. Institute for Cosmic Ray Research, University of Tokyo, Kashiwa 277-8582 (Japan)
2. Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa 277-8568 (Japan)

Non-Gaussianity may exist in the CDM isocurvature perturbation. We provide general expressions for the bispectrum and trispectrum of both adiabatic and isocurvature pertubations. We apply our result to the QCD axion case, and found a consistency relation between the coefficients of the bispectrum and trispectrum: τ{sub NL}{sup (iso)} ≅ 10{sup 3}[f{sub NL}{sup (iso)}]{sup 4/3}, if the axion is dominantly produced by quantum fluctuation. Thus future observations of the trispectrum, as well as the bispectrum, will be important for understanding the origin of the CDM and baryon asymmetry.

• OSTI ID: 22273247
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 09 Vol. 2009; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ASTROPHYSICS
ASYMMETRY
BARYONS
COSMOLOGY
DISTURBANCES
FLUCTUATIONS
ORIGIN
QUANTUM CHROMODYNAMICS