On classification of models of large local-type non-Gaussianity

2010/09/10 by Teruaki Suyama, Tomo Takahashi, Masahide Yamaguchi +1
Mathematics · Physics and Astronomy · #Artificial intelligence #Bispectrum #Computer science #Consistency (knowledge bases) #Cosmic microwave background #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Mathematics #Non-Gaussianity #Physics #Quantum mechanics #Scientific Research and Discoveries #Spectral density #Statistical physics #Statistics #Trispectrum #Type (biology) #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1088/1475-7516/2010/12/030

published as JCAP 1012:030,2010 · 67 pages, 6 figures

arxiv created 2010/09/10 · openalex publication_date 2010/12/31 · arxiv updated 2011/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We classify models generating large local-type non-Gaussianity into some categories by using some ``consistency relations'' among the non-linearity parameters f NL local ,τ NL local and g NL local , which characterize the size of bispectrum for the former and trispectrum for the latter two. Then we discuss how one can discriminate models of large local-type non-Gaussianity with such relations. We first classify the models by using the ratio of τ NL local /(6 f NL local /5) 2 , which is unity for ``single-source'' models and deviates from unity for ``multi-source'' ones. We can make a further classification of models in each category by utilizing the relation between f NL local and g NL local . Our classification suggests that observations of trispectrum would be very helpful to distinguish models of large non-Gaussianity and may reveal the generation mechanism of primordial fluctuations.

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