Resonant Trispectrum and a Dozen More Primordial N-point functions

Abstract

We compute all N-point primordial curvature correlation functions from inflation at tree-level up to N of order ten or more depending on the choice of parameters. This is achieved for resonant inflationary models in which the inflaton potential has a periodic modulation on top of a slow-roll flat term. These models find a natural UV completion in string theory implementation of axion monodromy. Key to the success of our computation is the observation that gravitational interactions among the perturbations can be neglected, which we argue is justified for any model of inflation with parametrically large non-Gaussianity. We provide a comprehensive review and detailed derivations of known consistency relations for squeezed and collinear limits, and generalize them to any N-point function.

45 pages, 5 figures, References added

References in corpus (62)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Non-Gaussianity from Inflation: Theory and Observations
• The Effective Field Theory of Inflation
• DBI in the Sky
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Monodromy in the CMB: Gravity Waves and String Inflation
• Gravity Waves and Linear Inflation from Axion Monodromy
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Formalising the Slow-Roll Approximation in Inflation
• Second-Order Cosmological Perturbations from Inflation
• Single field consistency relation for the 3-point function
• Primordial Non-Gaussianities from Inflation Models
• Ghost Inflation
• Oscillations in the CMB from Axion Monodromy Inflation
• A Natural Framework for Chaotic Inflation
• Naturally inflating on steep potentials through electromagnetic dissipation
• Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation
• On the Possibility of Large Axion Decay Constants
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Enhanced Non-Gaussianity from Excited Initial States
• On non-gaussianities in single-field inflation
• Galileon inflation
• Non-Gaussianities in models with a varying inflaton decay rate
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• On the consistency relation of the 3-point function in single field inflation
• Resonant Non-Gaussianity
• Signatures of Initial State Modifications on Bispectrum Statistics
• Primordial trispectrum from inflation
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• The inflationary trispectrum
• Superimposed Oscillations in the WMAP Data?
• Primordial non-Gaussianity from the DBI Galileons
• New Constraints on Oscillations in the Primordial Spectrum of Inflationary Perturbations
• Folded Resonant Non-Gaussianity in General Single Field Inflation
• Non-gaussianity from the trispectrum in general single field inflation
• Duality Cascade in Brane Inflation
• p-adic Inflation
• Dante's Inferno
• Classical approximation to quantum cosmological correlations
• On the full trispectrum in single field DBI-inflation
• Exploring the Superimposed Oscillations Parameter Space
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• Oscillations in the inflaton potential?
• A Naturally Large Four-Point Function in Single Field Inflation
• Simple Bounds from the Perturbative Regime of Inflation
• On Features and Nongaussianity from Inflationary Particle Production
• Non-Gaussianity of quantum fields during inflation
• Addendum to "Superimposed Oscillations in the WMAP Data?"
• Bispectrum signatures of a modified vacuum in single field inflation with a small speed of sound
• On the full quantum trispectrum in multi-field DBI inflation
• de Sitter limit of inflation and nonlinear perturbation theory
• A new method for calculating the primordial bispectrum in the squeezed limit
• On the squeezed limit of the bispectrum in general single field inflation
• Consistency relation for single scalar inflation
• Natural Inflation, Planck Scale Physics and Oscillating Primordial Spectrum
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
• Trispectrum from Ghost Inflation
• Consistency Relations for Non-Gaussianity
• The structure of correlation functions in single field inflation
• Trispectrum versus Bispectrum in Single-Field Inflation
• Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models

Cited by in corpus (46)

• Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers
• On Soft Limits of Inflationary Correlation Functions
• Phenomenology of a Pseudo-Scalar Inflaton: Naturally Large Nongaussianity
• Conformal consistency relations for single-field inflation
• The Observed Squeezed Limit of Cosmological Three-Point Functions
• An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• Non-Gaussianity from Step Features in the Inflationary Potential
• Building a Boostless Bootstrap for the Bispectrum
• Cutting Cosmological Correlators
• Large slow-roll corrections to the bispectrum of noncanonical inflation
• A Note on the Consistency Condition of Primordial Fluctuations
• In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation
• On Squeezed Limits in Single-Field Inflation - Part I
• (Small) Resonant non-Gaussianities: Signatures of a Discrete Shift Symmetry in the Effective Field Theory of Inflation
• Fast Computation of Bispectrum Features with Generalized Slow Roll
• Lattice Simulations of Axion-U(1) Inflation
• Single-Field Consistency Relations of Large Scale Structure. Part II: Resummation and Redshift Space
• Observational Constraints on Gauge Field Production in Axion Inflation
• Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation
• Consistently violating the non-Gaussian consistency relation
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• Inflationary Consistency Conditions from a Wavefunctional Perspective
• From Amplitudes to Contact Cosmological Correlators
• Resonant magnetic fields from inflation
• Amplitudes meet Cosmology: A (Scalar) Primer
• Bispectrum in Single-Field Inflation Beyond Slow-Roll
• On the Decay of Massive Fields in de Sitter
• Cancellation of quantum corrections on the soft curvature perturbations
• Consistency Relations for the Conformal Mechanism
• Sudden variations in the speed of sound during inflation: features in the power spectrum and bispectrum
• Feeding your Inflaton: Non-Gaussian Signatures of Interaction Structure
• Multiple Soft Limits of Cosmological Correlation Functions
• A Cosmological Bootstrap for Resonant Non-Gaussianity
• The squeezed limit of the bispectrum in multi-field inflation
• Inhomogeneous non-Gaussianity
• Fast Computation of First-Order Feature-Bispectrum Corrections
• The Separate Universe Approach to Soft Limits
• Lattice simulations of axion-U(1) inflation: gravitational waves, magnetic fields, and scalar statistics
• Consistency relations in multi-field inflation
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Resonant non-Gaussianity with equilateral properties
• Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
• Superimposed Oscillations in Brane Inflation
• The UV Sensitivity of Axion Monodromy Inflation
• Operator Method and Recursion Relations for Inflationary Correlator