2012/01/31 by Naonori S. Sugiyama
Economics, Econometrics and Finance · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Stochastic processes and financial applications #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2012/05/032
published as JCAP05(2012)032 · 24 pages, 6 figures
arxiv created 2012/05/01 · openalex publication_date 2012/05/28 · arxiv updated 2012/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
The consistency relation between non-linear parameters f NL and τ NL characterizing Non-Gaussianity generated in the super horizon scale have been emerged as a useful tool to rule out a large class of inflationary models all at once. In our previous work, we extended the Suyama-Yamaguchi inequality up to 1-loop corrections. In this paper, we further extend the inequality up to all loop corrections, and found that it takes the same expression with the original Suyama-Yamaguchi inequality, τ NL ⩾ ((6/5) f NL ) 2 , where the equality is not satisfied in the case of single field models any more.