General formula for the running of local fNL

2012/10/31 by Christian T. Byrnes, Jinn-Ouk Gong · 4 citations
Mathematics · Physics and Astronomy · #Computer science #Cosmology and Gravitation Theories #Curvature #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Geometry #Inflation (cosmology) #Mathematical physics #Mathematics #Metric (unit) #Physics #Pure mathematics #Quantum mechanics #Riemann curvature tensor #Scale (ratio) #Solar and Space Plasma Dynamics #Space (punctuation) #Tensor (intrinsic definition) #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2012.11.052

(v1) 9 pages, 1 figure; (v2) 10 pages, minor updates including the title, to appear in Physics Letters B

arxiv created 2012/11/27 · openalex publication_date 2012/11/27 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We compute the scale dependence of fNL for models of multi-field inflation, allowing for an arbitrary field space metric. We show that, in addition to multi-field effects and self interactions, the curved field space metric provides another source of scale dependence, which arises from the field-space Riemann curvature tensor and its derivatives. The scale dependence may be detectable within the near future if the amplitude of fNL is not too far from the current observational bounds.

Citations

• A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems
• The spectrum of cosmological perturbations produced by a multi-component inflaton to second order in the slow-roll approximation
• Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Second order general slow-roll power spectrum
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Super-Horizon Scale Dynamics of Multi-Scalar Inflation
• Scale dependence of localfNL

Cited by

• Cosmological observables in multi-field inflation with a non-flat field space
• The hemispherical asymmetry from a scale-dependent inflationary bispectrum
• Non-Gaussian bias: insights from discrete density peaks
• Squeezed primordial bispectrum from a general vacuum state