A generalized non-Gaussian consistency relation for single field inflation

Abstract

We show that a perturbed inflationary spacetime, driven by a canonical single scalar field, is invariant under a special class of coordinate transformations together with a field reparametrization of the curvature perturbation in co-moving gauge. This transformation may be used to derive the squeezed limit of the 3-point correlation function of the co-moving curvature perturbations valid in the case that these do not freeze after horizon crossing. This leads to a generalized version of Maldacena's non-Gaussian consistency relation in the sense that the bispectrum squeezed limit is completely determined by spacetime diffeomorphisms. Just as in the case of the standard consistency relation, this result may be understood as the consequence of how long-wavelength modes modulate those of shorter wavelengths. This relation allows one to derive the well known violation to the consistency relation encountered in ultra slow-roll, where curvature perturbations grow exponentially after horizon crossing.

arXiv comment16 pages, v3: matches published version (JCAP)

References in corpus (38)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Perturbations in k-inflation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Single field consistency relation for the 3-point function
• Primordial non-gaussianities in single field inflation
• Non-Gaussianity of the primordial perturbation in the curvaton model
• Horizon crossing and inflation with large η
• New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Adiabatic Modes in Cosmology
• On Soft Limits of Inflationary Correlation Functions
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• On the consistency relation of the 3-point function in single field inflation
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• Conformal Symmetries of Adiabatic Modes in Cosmology
• Galaxy Bias and non-Linear Structure Formation in General Relativity
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• Ultra slow-roll inflation demystified
• Improved Estimates of Cosmological Perturbations
• A Single Field Inflation Model with Large Local Non-Gaussianity
• Conditions for large non-Gaussianity in two-field slow-roll inflation
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation
• Ward Identities for Scale and Special Conformal Transformations in Inflation
• A Note on the Consistency Condition of Primordial Fluctuations
• One-particle-irreducible consistency relations for cosmological perturbations
• Consistently violating the non-Gaussian consistency relation
• Soft Theorems For Shift-Symmetric Cosmologies
• How Gaussian can our Universe be?
• A new method for calculating the primordial bispectrum in the squeezed limit
• Non-Gaussianity Consistency Relations, Initial States and Back-reaction
• Conformal Fermi Coordinates
• Features from the non-attractor beginning of inflation
• The Physical Squeezed Limit: Consistency Relations at Order q^2
• On the squeezed limit of the bispectrum in general single field inflation
• Squeezed Bispectrum in the $\delta N$ Formalism: Local Observer Effect in Field Space
• Correlated primordial spectra in effective theory of inflation

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• Steepest growth of the power spectrum and primordial black holes
• Primordial black hole formation with non-Gaussian curvature perturbations
• Building a Boostless Bootstrap for the Bispectrum
• Highly non-Gaussian tails and primordial black holes from single-field inflation
• Stochastic Ultra Slow Roll Inflation
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Note on the bispectrum and one-loop corrections in single-field inflation with primordial black hole formation
• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Inflationary soft theorems revisited: A generalized consistency relation
• Landscape tomography through primordial non-Gaussianity
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• The Effective Theory of Shift-Symmetric Cosmologies
• Cancellation of quantum corrections on the soft curvature perturbations
• Imprints of Oscillatory Bispectra on Galaxy Clustering
• Slow-roll inflation and growth of perturbations in Kaniadakis modification of Friedmann cosmology
• Primordial Non-Gaussianity
• Dynamical Analysis of Attractor Behavior in Constant Roll Inflation
• Squeezed tensor non-Gaussianity in non-attractor inflation
• Constraints on holographic multi-field inflation and models based on the Hamilton-Jacobi formalism
• Stochastic non-attractor inflation
• Solid Soft Theorems
• Simple single-field inflation models with arbitrarily small tensor/scalar ratio
• Revisiting non-Gaussianity in non-attractor inflation models in the light of the cosmological soft theorem
• A non-perturbative test of consistency relations and their violation
• Smooth vs instant inflationary transitions: steepest growth re-examined and primordial black holes
• Sudden braking and turning with a two-field potential bump: primordial black hole formation
• Probing parity-odd bispectra with anisotropies of GW $V$ modes
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Soft theorems for boosts and other time symmetries
• Unifying attractor and non-attractor models of inflation under a single soft theorem
• Spatial Curvature at the Sound Horizon
• The spatial gauge-dependence of single-field inflationary bispectra
• Symmetry Breaking Patterns for Inflation
• Generating large primordial fluctuations in single-field inflation for PBH formation
• Origin of ultra-light fields during inflation and their suppressed non-Gaussianity
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Curvature Perturbations in the Effective Field Theory of Inflation
• Comprehensive analysis of dissipative effects in the induced gravitational waves