Primordial Non-Gaussianities of General Multiple Field Inflation

Abstract

We perform a general study of the primordial scalar non-Gaussianities in multi-field inflationary models in Einstein gravity. We consider models governed by a Lagrangian which is a general function of the scalar fields and their first spacetime derivatives. We use $\delta N$ formalism to relate scalar fields and curvature perturbations. We calculate the explicit cubic order perturbation action and the three-point function of curvature perturbation evaluated at horizon-crossing. Under reasonable assumptions, in the limit of small slow-varying parameters and a sound speed $c_s$ close to one, we find that the non-Gaussianity is completely determined by these slow-varying parameters and some other parameters determined by the structure of the inflationary models. Our work generalizes previous results, and would be useful to study non-Gaussianity in multi-field inflationary models that will be constructed in the future.

26 pages, no figure; v2, minor revision; v3 minor misprints corrected; v4 minor misprints corrected

References in corpus (90)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• k-Inflation
• Generating the curvature perturbation without an inflaton
• Non-Gaussianity from Inflation: Theory and Observations
• Perturbations in k-inflation
• DBI in the Sky
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Adiabatic CMB perturbations in pre-big bang string cosmology
• Effects of Cosmological Moduli Fields on Cosmic Microwave Background
• A general proof of the conservation of the curvature perturbation
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• The primordial density perturbation in the curvaton scenario
• Adiabatic and entropy perturbations from inflation
• Second-Order Cosmological Perturbations from Inflation
• Cosmic String Production Towards the End of Brane Inflation
• The inflationary prediction for primordial non-gaussianity
• Ghost Inflation
• The Three--Point Correlation Function of the Cosmic Microwave Background in Inflationary Models
• Super-Horizon Scale Dynamics of Multi-Scalar Inflation
• Primordial non-gaussianities in single field inflation
• Non-Gaussianity of the primordial perturbation in the curvaton model
• String Cosmology: A Review
• Primordial non-gaussianities from multiple-field inflation
• Scales and hierarchies in warped compactifications and brane worlds
• Non-Gaussianity in multi-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
• Perturbations in generalized multi-field inflation
• Primordial trispectrum from inflation
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• The Angular Dependence of the Three-Point Correlation Function of the Cosmic Microwave Background Radiation as Predicted by Inflationary Cosmologies
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• The inflationary trispectrum
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Inflationary models inducing non-Gaussian metric fluctuations
• Non-Gaussianities in Multi-field Inflation
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• Large non-Gaussianity in multiple-field inflation
• Non-gaussianity from the second-order cosmological perturbation
• Non-Gaussianity from Preheating
• On Inflation in String Theory
• Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation
• Non-linear perturbations in multiple-field inflation
• Non-gaussianity from the trispectrum in general single field inflation
• Non-Gaussianities from ekpyrotic collapse with multiple fields
• Non-gaussianity from the inflationary trispectrum
• Spinflation
• Primordial Non-Gaussianity in Multi-Scalar Slow-Roll Inflation
• Quantitative bispectra from multifield inflation
• Non-Gaussianity from Instant and Tachyonic Preheating
• Nongaussianity from Tachyonic Preheating in Hybrid Inflation
• Spectral Running and Non-Gaussianity from Slow-Roll Inflation in Generalised Two--Field Models
• Lectures on Cosmic Inflation and its Potential Stringy Realizations
• Multifield DBI Inflation and Non-Gaussianities
• Perturbative and non-perturbative aspects of pure N=1 super Yang-Mills theory from wrapped branes
• Cosmology from Rolling Massive Scalar Field on the anti-D3 Brane of de Sitter Vacua
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• A high-significance detection of non-Gaussianity in the WMAP 5-year data using directional spherical wavelets
• Very Large Primordial Non-Gaussianity from multi-field: Application to Massless Preheating
• Non-Gaussian perturbations from multi-field inflation
• Non-Gaussian perturbations in hybrid inflation
• Large Non-Gaussianity Implication for Curvaton Scenario
• Gauge-invariant perturbations at second order: multiple scalar fields on large scales
• Non-gaussianity of inflationary field perturbations from the field equation
• Seed perturbations for primordial magnetic fields from MSSM flat directions
• Non-linear inflationary perturbations
• Primordial non-Gaussianity from two curvaton decays
• Constraining Van der Waals quintessence by observations
• Brane Inflation : String Theory viewed from the Cosmos
• de Sitter limit of inflation and nonlinear perturbation theory
• Non-Gaussianities in N-flation
• General Single Field Inflation with Large Positive Non-Gaussianity
• Secular increase of the Astronomical Unit and perihelion precessions as tests of the Dvali-Gabadadze-Porrati multi-dimensional braneworld scenario
• Non-Gaussianity from Broken Symmetries
• Non-Gaussianity in braneworld and tachyon inflation
• Probing Inflation and Dark Energy with Current Cosmological Observations
• Cosmological constraints on string scale and coupling arising from tachyonic instability
• Second-Order Corrections to the Power Spectrum in the Slow-Roll Expansion with a Time-Dependent Sound Speed
• DBI N-flation
• Scale-invariant Perturbations from Chaotic Inflation
• Non-Gaussianity in three fluid curvaton model
• Non-Gaussianity and constraints for the variance of perturbations in the curvaton model
• Revisiting non-Gaussianity of multiple-field inflation from the field equation
• Non Gaussianity of General Multiple-Field Inflationary Models
• Reheating and Cosmic String Production

Cited by in corpus (79)

• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• Signatures of Initial State Modifications on Bispectrum Statistics
• Constraining Running Non-Gaussianity
• Strongly Coupled Perturbations in Two-Field Inflationary Models
• Dominance of gauge artifact in the consistency relation for the primordial bispectrum
• Primordial non-Gaussianities in general modified gravitational models of inflation
• Curvaton with Polynomial Potential
• A generalized local ansatz and its effect on halo bias
• On the full trispectrum in single field DBI-inflation
• 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
• On Classification of Models of Large Local-Type Non-Gaussianity
• Cosmological Bootstrap in Slow Motion
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• 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
• Shapes of primordial non-Gaussianities in the Horndeski's most general scalar-tensor theories
• Non-Gaussianity of quantum fields during inflation
• Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum
• Moment transport equations for non-Gaussianity
• On the full quantum trispectrum in multi-field DBI inflation
• The Curvature Perturbation in the Axion-type Curvaton Model
• Lorentz boost and non-Gaussianity in multi-field DBI-inflation
• Large and strong scale dependent bispectrum in single field inflation from a sharp feature in the mass
• Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
• Combined local and equilateral non-Gaussianities from multifield DBI inflation
• Large Primordial Trispectra in General Single Field Inflation
• Primordial perturbations and non-Gaussianities in Hořava-Lifshitz gravity
• Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms
• On the squeezed limit of the bispectrum in general single field inflation
• Constraints on Kinetically Modified Inflation from WMAP5
• Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
• Non-Gaussianities in Multifield Inflation: Superhorizon Evolution, Adiabaticity, and the Fate of fnl
• Non-Gaussianities and tensor-to-scalar ratio in non-local $R^2$-like inflation
• $\alpha$-vacuum and inflationary bispectrum
• The Trispectrum in the Multi-brid Inflation
• Strong scale dependent bispectrum in the Starobinsky model of inflation
• N-vaton
• Multi-field Inflation with a Random Potential
• Constraints on generating the primordial curvature perturbation and non-Gaussianity from instant preheating
• Multi-Stream Inflation
• On Non-Gaussianities in Multi-Field Inflation (N fields): Bi- and Tri-spectra beyond Slow-Roll
• Trispectrum from Ghost Inflation
• A geometrical approach to nonlinear perturbations in relativistic cosmology
• Multiple kinetic k-essence, phantom barrier crossing and stability
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Non-Gaussianity, Isocurvature Perturbation, Gravitational Waves and a No-Go Theorem for Isocurvaton
• Large trispectrum in two-field slow-roll inflation
• Anisotropic singularities in modified gravity models
• Spectral Index in Curvaton Scenario
• Adiabaticity and the Fate of Non-Gaussianities: The Trispectrum and Beyond
• Inflation on an Open Racetrack
• The trispectrum in ghost inflation
• On Cross-correlations between Curvature and Isocurvature Perturbations during Inflation
• Two-field mimetic gravity revisited and Hamiltonian analysis
• Non-Gaussianity from Lifshitz Scalar
• The Separate Universe Approach to Soft Limits
• Feynman-like Rules for Calculating n-Point Correlators of the Primordial Curvature Perturbation
• The scalar bi-spectrum during preheating in single field inflationary models
• Non-Gaussianity in multiple three-form field inflation
• Loop Corrections to Cosmological Perturbations in Multi-field Inflationary Models
• Gauge-invariant perturbations at second order in two-field inflation
• Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
• Thermal fluctuations in viscous cosmology
• Dark Matter from Entropy Perturbations in Curved Field Space
• Viability of nonminimally coupled f (R) gravity
• Non-Gaussianity from false vacuum inflation: Old curvaton scenario
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
• Dynamics of Cosmological Perturbations in Multi-Speed Inflation
• 1/R Correction to Gravity in the Early Universe
• Covariant second-order perturbations in generalized two-field inflation
• Non-Gaussianities in generalized non-local $R^2$-like inflation
• The Physical Content of Long Tensor Modes in Cosmology
• Reconstruction of the isocurvaton scenario
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• Towards a unitary formulation of quantum field theory in curved spacetime: the case of de Sitter spacetime
• Observable predictions of generalised inflationary scenarios
• On the four-dimensional effective theories in brane-worlds
• Non-Gaussianity in Cosmology: from Inflation to the CMB