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

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Cited by in corpus (32)

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• Resonant Non-Gaussianity
• Inflation, Cosmic Perturbations and Non-Gaussianities
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• Curvaton with Polynomial Potential
• Curvaton Dynamics and the Non-Linearity Parameters in Curvaton Model
• A geometric description of the non-Gaussianity generated at the end of multi-field inflation
• Consistently violating the non-Gaussian consistency relation
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• Resonant Trispectrum and a Dozen More Primordial N-point functions
• The Conformal Limit of Inflation in the Era of CMB Polarimetry
• Large Primordial Trispectra in General Single Field Inflation
• Cancellation of quantum corrections on the soft curvature perturbations
• On the squeezed limit of the bispectrum in general single field inflation
• The Trispectrum in the Multi-brid Inflation
• Multi-Stream Inflation
• The squeezed limit of the bispectrum in multi-field inflation
• Large Local Non-Gaussianity from General Single-field Inflation
• The Separate Universe Approach to Soft Limits
• KLT-Like Behaviour of Inflationary Graviton Correlators
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• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Extracting the size of the cosmic electron-positron anomaly
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• Consistency relation and inflaton field redefinition in the delta N formalism
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• Statistical nature of non-Gaussianity from cubic order primordial perturbations: CMB map simulations and genus statistic
• 1/R Correction to Gravity in the Early Universe
• Reconstruction of the isocurvaton scenario
• Inhomogeneous Reheating Scenario with DBI fields