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Primordial non-Gaussianity in multi-scalar slow-roll inflation

2007/05/22 by Shuichiro Yokoyama, Teruaki Suyama, Takahiro Tanaka · 1 citation
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Curvature #Exponential function #Formalism (music) #Galaxies: Formation, Evolution, Phenomena #Inflation (cosmology) #Inflaton #Mathematical analysis #Non-Gaussianity #Physics #Quantum mechanics #Scalar (mathematics) #Separable space #Slow roll #Statistical physics #Theoretical physics #astro-ph

paper · pdf · doi:10.1088/1475-7516/2007/07/013

published as JCAP 0707:013,2007 · 8 pages

arxiv created 2007/05/22 · openalex publication_date 2007/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We analyse the non-Gaussianity for primordial curvature perturbations generated in a multi-scalar slow-roll inflation model including the model with non-separable potential by making use of δ N formalism. Many authors have investigated the possibility of large non-Gaussianity for the models with separable potential, and they have found that the non-linear parameter, f NL , is suppressed by the slow-roll parameters. We show that for the non-separable models f NL is given by the product of a factor which is suppressed by the slow-roll parameters and a possible enhancement factor which is given by exponentials of quantities of O(1).

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