Non-Gaussianity in multi-field inflation

Abstract

This article investigates the generation of non-Gaussianity during inflation. In the context of multi-field inflation, we detail a mechanism that can create significant primordial non-Gaussianities in the adiabatic mode while preserving the scale invariance of the power spectrum. This mechanism is based on the generation of non-Gaussian isocurvature fluctuations which are then transfered to the adiabatic modes through a bend in the classical inflaton trajectory. Natural realizations involve quartic self-interaction terms for which a full computation can be performed. The expected statistical properties of the resulting metric fluctuations are shown to be the superposition of a Gaussian and a non-Gaussian contribution of the same variance. The relative weight of these two contributions is related to the total bending in field space. We explicit the non-Gaussian probability distribution function which appears to be described by a single new parameter. Only two new parameters therefore suffice in describing the non-Gaussianity.

19 pages, RevTeX, 5 figures included

Cited by in corpus (221)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Non-Gaussianity from Inflation: Theory and Observations
• DBI in the Sky
• Inflation Dynamics and Reheating
• Cosmology and Fundamental Physics with the Euclid Satellite
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Cosmology and fundamental physics with the Euclid satellite
• The primordial density perturbation in the curvaton scenario
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Primordial Non-Gaussianities from Inflation Models
• Ghost Inflation
• A new mechanism for generating density perturbations from inflation
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
• The shape of non-Gaussianities
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8
• Primordial non-gaussianities from multiple-field inflation
• Large non-Gaussianities with Intermediate Shapes from Quasi-Single Field Inflation
• Non-Gaussianities in two-field inflation
• On non-gaussianities in single-field inflation
• On Non-Gaussianity in the Curvaton Scenario
• Non-Gaussianities in models with a varying inflaton decay rate
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• The Effective Field Theory of Multifield Inflation
• The shape of primordial non-Gaussianity and the CMB bispectrum
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• The Separate Universe Approach and the Evolution of Nonlinear Superhorizon Cosmological Perturbations
• Theory of cosmological perturbations in an anisotropic universe
• Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
• Non-Gaussian Signatures in the Temperature Fluctuation Observed by the Wilkinson Microwave Anisotropy Probe
• Review of local non-Gaussianity from multi-field inflation
• Predictions from an anisotropic inflationary era
• Information field theory for cosmological perturbation reconstruction and non-linear signal analysis
• Inflationary models inducing non-Gaussian metric fluctuations
• Planck 2018 results. IX. Constraints on primordial non-Gaussianity
• Primordial non-Gaussianity: large-scale structure signature in the perturbative bias model
• On the importance of heavy fields during inflation
• Large non-Gaussianity in multiple-field inflation
• Non-linear isocurvature perturbations and non-Gaussianities
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Non-gaussianity from the second-order cosmological perturbation
• Non-Gaussianity from Preheating
• Multiple field inflation
• A numerical study of non-gaussianity in the curvaton scenario
• Detectability of the effect of Inflationary non-Gaussianity on halo bias
• CMB Anisotropies at Second Order I
• Modulated fluctuations from hybrid inflation
• Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies
• Primordial non-Gaussianities in general modified gravitational models of inflation
• CMB Anisotropies at Second-Order II: Analytical Approach
• Non-Gaussianity beyond slow roll in multi-field inflation
• Classical approximation to quantum cosmological correlations
• Large non-Gaussianity from multi-brid inflation
• Quantitative bispectra from multifield inflation
• Large non-Gaussianity from two-component hybrid inflation
• Spectral Running and Non-Gaussianity from Slow-Roll Inflation in Generalised Two--Field Models
• 1-loop Perturbative Corrections to the Matter and Galaxy Bispectrum with non-Gaussian Initial Conditions
• The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields
• On the full trispectrum in single field DBI-inflation
• Correlation-consistency cartography of the double inflation landscape
• Primordial Non-Gaussianities of General Multiple Field Inflation
• Secondary anisotropies of the CMB
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Bispectrum
• Constraints on mode couplings and modulation of the CMB with WMAP data
• On the Issue of the ζSeries Convergence and Loop Corrections in the Generation of Observable Primordial Non-Gaussianity in Slow-Roll Inflation. Part I: the Bispectrum
• Primordial non-Gaussianity and the CMB bispectrum
• Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• Primordial Non-Gaussianity in the Cosmic Microwave Background
• The radiative transfer at second order: a full treatment of the Boltzmann equation with polarization
• Evolution of Massive Haloes in non-Gaussian Scenarios
• Holographic Non-Gaussianity
• Non-Gaussianity in Two-Field Inflation
• The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Non-Gaussian perturbations from multi-field inflation
• The Peccei-Quinn Field as Curvaton
• Non-Gaussian perturbations in hybrid inflation
• Non-Gaussianity and the Cosmic Microwave Background Anisotropies
• Non-Gaussianity of quantum fields during inflation
• Gauge-invariant perturbations at second order: multiple scalar fields on large scales
• High-Resolution Simulations of Cosmic Microwave Background non-Gaussian Maps in Spherical Coordinates
• On the Initial Conditions in New Ekpyrotic Cosmology
• Non-linear inflationary perturbations
• Enhancement of Non-Gaussianity after Inflation
• Reconstruction of primordial density fields
• On the full quantum trispectrum in multi-field DBI inflation
• Cosmic microwave background bispectrum on small angular scales
• Testing for double inflation with WMAP
• Sloan Digital Sky Survey III Photometric Quasar Clustering: Probing the Initial Conditions of the Universe using the Largest Volume
• Primordial non-Gaussianity without tails -- how to measure fNL with the bulk of the density PDF
• Simple route to non-Gaussianity in inflation
• Lorentz boost and non-Gaussianity in multi-field DBI-inflation
• Non-Gaussianity from massless preheating
• Non-Gaussianity in the Cosmic Microwave Background Anisotropies at Recombination in the Squeezed limit
• Predictions for Nongaussianity from Nonlocal Inflation
• On the conservation of second-order cosmological perturbations in a scalar field dominated universe
• Detection and discrimination of cosmological non-Gaussian signatures by multi-scale methods
• Combined local and equilateral non-Gaussianities from multifield DBI inflation
• Primordial Non-Gaussianity $f_{\mathrm{NL}}$ and Anisotropies in Scalar-Induced Gravitational Waves
• The Effect of Primordial Non--Gaussianity on the Topology of Large-Scale Structure
• Systematic effects in large-scale angular power spectra of photometric quasars and implications for constraining primordial nongaussianity
• Classicality of the primordial perturbations
• The Persistence of Large Scale Structures I: Primordial non-Gaussianity
• Gravitational waves generated by second order effects during inflation
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Primordial non-Gaussianity from the Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey I: Catalogue Preparation and Systematic Mitigation
• Primordial non-Gaussianities after Planck 2015: an introductory review
• The clustering of galaxies and galaxy clusters: constraints on primordial non-Gaussianity from future wide-field surveys
• Limits on primordial non-Gaussianities from BOSS galaxy-clustering data
• Cosmological non-Gaussian Signature Detection: Comparing Performance of Different Statistical Tests
• Non-Gaussianity from the hybrid potential
• Inflation, the Hubble Tension and Early Dark Energy: an alternative overview
• Cosmic shear bispectrum from second-order perturbations in General Relativity
• Imprints of primordial non-Gaussianity on the number counts of cosmic shear peaks
• Non-Gaussianities in Multifield Inflation: Superhorizon Evolution, Adiabaticity, and the Fate of fnl
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
• The Importance of Slow-roll Corrections During Multi-field Inflation
• A not so short note on the Klein-Gordon equation at second order
• Non-Gaussianity from resonant curvaton decay
• The trispectrum of the Cosmic Microwave Background on sub-degree angular scales: an analysis of the BOOMERanG data
• Non-Gaussianity in single field models without slow-roll
• $\alpha$-vacuum and inflationary bispectrum
• Primordial non-Gaussianity: local curvature method and statistical significance of constraints on f_NL from WMAP data
• A Scaling Index Analysis of the WMAP three year data: Signatures of non-Gaussianities and Asymmetries in the CMB
• The Covariance of Squeezed Bispectrum Configurations
• A model-independent test for scale-dependent non-Gaussianities in the CMB
• Constraining the initial conditions of the Universe using large scale structure
• Use of delta N formalism - Difficulties in generating large local-type non-Gaussianity during inflation -
• Cosmic inflation in a landscape of heavy-fields
• Reheating, Multifield Inflation and the Fate of the Primordial Observables
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• Heavy Particle Signatures in Cosmological Correlation Functions with Tensor Modes
• Trispectrum from Ghost Inflation
• On Non-Gaussianities in Multi-Field Inflation (N fields): Bi- and Tri-spectra beyond Slow-Roll
• A geometrical approach to nonlinear perturbations in relativistic cosmology
• Non-Gaussianity: Comparing wavelet and Fourier based methods
• Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
• High order correlation functions for self interacting scalar field in de Sitter space
• On the non-Gaussianity from Recombination
• Gauge invariant Boltzmann equation and the fluid limit
• Numerical calculation of second order perturbations
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Non-Gaussianity in braneworld and tachyon inflation
• Note on Non-Gaussianities in Two-field Inflation
• Nonperturbative infrared enhancement of nonGaussian correlators in de Sitter space
• On second-order superhorizon perturbations in multifield inflationary models
• Non-Gaussianities in extended D-term inflation
• Non-Gaussian Signatures in the five-year WMAP data as identified with isotropic scaling indices
• Manyfield Inflation in Random Potentials
• Constraints on scalar and tensor perturbations in phenomenological and two-field inflation models: Bayesian evidences for primordial isocurvature and tensor modes
• The structure of correlation functions in single field inflation
• Power Spectrum Normalisation and the Non-Gaussian Halo Model
• Large Deviations in the Early Universe
• The effects of Non-Gaussian initial conditions on the structure and substructure of Cold Dark Matter halos
• Scale dependent non-Gaussianities in the CMB data identified with Minkowski Functionals and Scaling Indices
• Detectable primordial non-gaussianities and gravitational waves in k-inflation
• Seven Lessons from Manyfield Inflation in Random Potentials
• Bispectra from two-field inflation using the long-wavelength formalism
• The Effect of Local non-Gaussianity on the Matter Bispectrum at Small Scales
• Taming assembly bias for primordial non-Gaussianity
• BOOMERanG Constraints on Primordial Non-Gaussianity from Analytical Minkowski Functionals
• Adiabaticity and the Fate of Non-Gaussianities: The Trispectrum and Beyond
• Non-Gaussianity from Lifshitz Scalar
• Local non-Gaussianity from rapidly varying sound speeds
• Effective Field Theory of Multi-Field Inflation a la Weinberg
• Anisotropies in Scalar-Induced Gravitational-Wave Background from Inflaton-Curvaton Mixed Scenario with Sound Speed Resonance
• Probing the Early Universe with the CMB Scalar, Vector and Tensor Bispectrum
• Constraints on neutrino density and velocity isocurvature modes from WMAP-9 data
• On degenerate models of cosmic inflation
• Finite volume effects for non-Gaussian multi-field inflationary models
• Tracking the Multifield Dynamics with Cosmological Data: A Monte Carlo approach
• Tachyon Mediated Non-Gaussianity
• Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation
• δN versus covariant perturbative approach to non-Gaussianity outside the horizon in multifield inflation
• Scale-dependent non-Gaussianities in the WMAP data as identified by using surrogates and scaling indices
• Non-Gaussianity in the inflating curvaton
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Complete Hamiltonian analysis of cosmological perturbations at all orders
• Influence of Reheating on the Trispectrum and its Scale Dependence
• Modulated decay in the multi-component Universe
• Angular bispectrum and trispectrum of scalar-induced gravitational waves: all contributions from primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$
• The Inflationary Paradigm: Predictions for CMB
• Goodness-of-Fit Tests to study the Gaussianity of the MAXIMA data
• Mixed non-Gaussianity in multiple-DBI inflation
• What Planck does not tell us about inflation
• Modulated inflation from kinetic term
• Effect of component separation on the temperature distribution of the CMB
• Non-Gaussianity in Multi-field Stochastic Inflation with the Scaling Approximation
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
• Momentum dependence of the bispectrum in two-field inflation
• Effective Field Theory of Anisotropic Inflation and Beyond
• The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects
• Gravity and non-gravity mediated couplings in multiple-field inflation
• Constraining primordial non-Gaussianity with cosmological weak lensing: shear and flexion
• The effect of primordial non-Gaussianity on the skeleton of cosmic shear maps
• Covariant second-order perturbations in generalized two-field inflation
• Search for non-Gaussianities in the WMAP data with the Scaling Index Method
• Isocurvature modes: joint analysis of the CMB power spectrum and bispectrum
• Radiative corrections to scalar masses in de Sitter space
• Using CMB polarization to constrain the anomalous nature of the Cold Spot with an incomplete sky-coverage
• The Non-Gaussianity of Racetrack Inflation Models
• Lecture notes on non-Gaussianity
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• Primordial non-Gaussianity from the Effects of the Standard Model Higgs during Reheating after Inflation
• Zonal Modes of Cosmic Microwave Background Temperature Maps
• Hamiltonian formalism of cosmological perturbations and higher derivative theories
• Constraining Inflationary Scenarios with Braneworld Models and Second Order Cosmological Perturbations
• 'Constraint consistency' at all orders in Cosmological perturbation theory
• Curvaton mechanism after multi-field inflation
• Study of primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ with the cross-correlations between the scalar-induced gravitational waves and the cosmic microwave background
• Modulated Inflation (@SUSY08)
• The shape of high order correlation functions in CMB anisotropy maps
• Revisiting the angular momentum growth of protostructures evolved from non-Gaussian initial conditions
• Non-Gaussianity after many-field reheating
• Inflation in a scalar-vector gravity theory
• Dual axion-like field inflation
• Computing Non- Gaussian Maps of the CMB