Consistency Relations for Non-Gaussianity

Abstract

We investigate consistency relations for non-Gaussianity. We provide a model-independent dynamical proof for the consistency relation of 3-point correlation functions from the Hamiltonian and field redefinition. This relation can be applied to single field inflation, multi-field inflation and the curvaton scenario. This relation can also be generalized to $n$-point correlation functions up to arbitrary order in perturbation theory and with arbitrary number of loops.

18 pages. v2 and v3: references added

References in corpus (5)

• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Non-gaussianity from the trispectrum in general single field inflation
• Multifield DBI Inflation and Non-Gaussianities
• Large Volume Axionic Swiss-Cheese Inflation

Cited by in corpus (3)

• Curvaton Dynamics and the Non-Linearity Parameters in Curvaton Model
• The Trispectrum in the Multi-brid Inflation
• Reconstruction of the isocurvaton scenario