Consistently violating the non-Gaussian consistency relation

Abstract

Non-attractor models of inflation are characterized by the super-horizon evolution of curvature perturbations, introducing a violation of the non-Gaussian consistency relation between the bispectrum's squeezed limit and the power spectrum's spectral index. In this work we show that the bispectrum's squeezed limit of non-attractor models continues to respect a relation dictated by the evolution of the background. We show how to derive this relation using only symmetry arguments, without ever needing to solve the equations of motion for the perturbations.

26 pages, v3: matches published version (JCAP)

References in corpus (20)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Effective Field Theory of Inflation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Enhanced Non-Gaussianity from Excited Initial States
• On the consistency relation of the 3-point function in single field inflation
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• A Note on Calm Excited States of Inflation
• Theory of non-Gaussianity in warm inflation
• Primordial non-Gaussianity in the large scale structure of the Universe
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• A new method for calculating the primordial bispectrum in the squeezed limit
• On the scalar consistency relation away from slow roll
• On the squeezed limit of the bispectrum in general single field inflation
• Untangling features in the primordial spectra
• Consistency Relations for Non-Gaussianity
• Effective Field Theory of non-Attractor Inflation
• On the Initial State and Consistency Relations
• Primordial Non-Gaussianity in the Forest: 3D Bispectrum of Ly-alpha Flux Spectra Along Multiple Lines of Sight
• Planck 2015 results. XX. Constraints on inflation
• Lecture notes on non-Gaussianity

Cited by in corpus (47)

• Steepest growth of the power spectrum and primordial black holes
• Primordial Black Holes from Inflation and Quantum Diffusion
• Ultra slow-roll inflation demystified
• Revisiting non-Gaussianity from non-attractor inflation models
• Stochastic Ultra Slow Roll Inflation
• Soft Theorems For Shift-Symmetric Cosmologies
• Systematics of Constant Roll Inflation
• A generalized non-Gaussian consistency relation for single field inflation
• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• New perspectives on constant-roll inflation
• Features from the non-attractor beginning of inflation
• Inflationary soft theorems revisited: A generalized consistency relation
• The Effective Theory of Shift-Symmetric Cosmologies
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Primordial non-Gaussianities after Planck 2015: an introductory review
• Ultra slow-roll G-inflation
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• Primordial Non-Gaussianity
• CMB from a Gauss-Bonnet-induced de Sitter fixed point
• Dynamical Analysis of Attractor Behavior in Constant Roll Inflation
• Systematics of Adiabatic Modes: Flat Universes
• The next non-Gaussianity frontier: what can a measurement with $\sigma (f_{\mathrm{NL}})\lesssim 1$ tell us about multifield inflation?
• Vanishing of local non-Gaussianity in canonical single field inflation
• Large fluctuations and Primordial Black Holes
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics II: Quartic interactions and consistency relations
• Manyfield Inflation in Random Potentials
• Large Slow Roll Parameters in Single Field Inflation
• Stochastic non-attractor inflation
• Constant-roll inflation in the generalized SU(2) Proca theory
• Solid Soft Theorems
• Global adiabaticity and non-Gaussianity consistency condition
• Simple single-field inflation models with arbitrarily small tensor/scalar ratio
• Cosmological Perturbations and the Weinberg Theorem
• The Separate Universe Approach to Soft Limits
• Modular Invariant Slow Roll Inflation
• Spatial Curvature at the Sound Horizon
• Unifying attractor and non-attractor models of inflation under a single soft theorem
• Consistency relation and inflaton field redefinition in the delta N formalism
• Dynamical systems in perturbative scalar field cosmology
• Single-Field Inflation and the Local Ansatz: Distinguishability and Consistency
• The spatial gauge-dependence of single-field inflationary bispectra
• On primordial black holes from an inflection point
• Curvature Perturbations in the Effective Field Theory of Inflation
• A new parameter in attractor single-field inflation
• Comprehensive analysis of dissipative effects in the induced gravitational waves
• Non-Gaussianity in D3-brane inflation