Non-Gaussianity Consistency Relation for Multifield Inflation

2011/01/31 by Naonori S. Sugiyama, Eiichiro Komatsu, Toshifumi Futamase · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #Anisotropy #Bispectrum #Cosmic microwave background #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Formalism (music) #Galaxies: Formation, Evolution, Phenomena #Inflation (cosmology) #Logarithm #Mathematical analysis #Mathematics #Non-Gaussianity #Physics #Quantum mechanics #Spectral density #Statistical physics #Statistics #Theoretical physics #Trispectrum #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevlett.106.251301

published as Phys.Rev.Lett.106:251301,2011 · 5 pages. Accepted for publication in Physical Review Letters

arxiv created 2011/05/25 · openalex publication_date 2011/06/23 · arxiv updated 2011/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

While detection of the ``local form'' bispectrum of primordial perturbations would rule out all single-field inflation models, multifield models would still be allowed. We show that multifield models described by the \ensuremathδN formalism obey an inequality between f_NL and one of the local-form trispectrum amplitudes, \ensuremathτ_NL, such that \ensuremathτ_NL>(1)/(2)((6)/(5)f_NL)² with a possible logarithmic scale dependence, provided that 2-loop terms are small. Detection of a violation of this inequality would rule out most of multifield models, challenging inflation as a mechanism for generating the primoridal perturbations.

Citations

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• Beauty is distractive: particle production during multifield inflation
• The separate universe approach to soft limits