Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models

Abstract

We investigate the primordial non-Gaussianities from the trispectra in multi-field inflation models, which can be seen as generalization of multi-field $k$-inflation and multi-DBI inflation. We derive the full fourth-order perturbation action for the inflaton fields and evaluate the four-point correlation functions for the perturbations in the limit $\ca \ll 1$ and $\ce \ll1$. There are three types of momentum-dependent shape functions which arise from three types of four-point interaction vertices. The final trispectrum of the curvature perturbation can be expressed in terms of the deformations and permutations of these three shape functions, and is determined by $\ca$, $\ce$, $\lambda$, $\Pi$ which depend on the non-linear structure of the model and also the transfer function $T_{\Rc\Sc}$. We also discuss the parameter space for the trispectrum and plot the shape diagrams for the trispectrum both for visualization and for distinguishing different shapes from each other.

arXiv comment36 pages, 8 eps figures; v2 more general two-field model considered, JCAP version

References in corpus (104)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• 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
• Non-Gaussianity from Inflation: Theory and Observations
• Perturbations in k-inflation
• The Effective Field Theory of Inflation
• Inflation Dynamics and Reheating
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• A general proof of the conservation of the curvature perturbation
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• 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
• A new mechanism for generating density perturbations from inflation
• The shape of non-Gaussianities
• Primordial non-gaussianities in single field inflation
• Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data
• Non-Gaussianity of the primordial perturbation in the curvaton model
• Large Non-Gaussianities in Single Field Inflation
• Primordial non-gaussianities from multiple-field inflation
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• Non-Gaussianity in multi-field inflation
• Enhanced Non-Gaussianity from Excited Initial States
• On non-gaussianities in single-field inflation
• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation
• Non-Gaussianity from Inflation
• An Observational Test of Two-field Inflation
• Running Non-Gaussianities in DBI Inflation
• Signatures of Initial State Modifications on Bispectrum Statistics
• Perturbations in generalized multi-field inflation
• Primordial trispectrum from inflation
• Generating the curvature perturbation at the end of inflation
• Detecting a small perturbation through its non-Gaussianity
• Optimal limits on f_{NL}^{local} from WMAP 5-year data
• Inflation from Warped Space
• Curvature and isocurvature perturbations in two-field inflation
• Multi-Throat Brane Inflation
• 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
• Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
• Inflationary models inducing non-Gaussian metric fluctuations
• Multi-brid inflation and non-Gaussianity
• Curvature and isocurvature perturbations from two-field inflation in a slow-roll expansion
• Non-linear isocurvature perturbations and non-Gaussianities
• Conditions for large non-Gaussianity in two-field slow-roll inflation
• Constraining Running Non-Gaussianity
• Evolution of non-linear cosmological perturbations
• A numerical study of non-gaussianity in the curvaton scenario
• Conserved non-linear quantities in cosmology
• Non-linear perturbations in multiple-field inflation
• Non-gaussianity from the trispectrum in general single field inflation
• Non-Gaussianity beyond slow roll in multi-field inflation
• Cosmological Perturbations in Hořava-Lifshitz Gravity
• Phenomenology of D-Brane Inflation with General Speed of Sound
• Non-gaussianity from the inflationary trispectrum
• Spinflation
• Large non-Gaussianity from multi-brid inflation
• Non-gaussianity from the bispectrum in general multiple field inflation
• Inflation with multiple sound speeds: a model of multiple DBI type actions and non-Gaussianities
• Comparing Brane Inflation to WMAP
• Large non-Gaussianity from two-component hybrid inflation
• On the full trispectrum in single field DBI-inflation
• Primordial Non-Gaussianities of General Multiple Field 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
• Non-Gaussianity from isocurvature perturbations
• Multifield DBI Inflation and Non-Gaussianities
• Nonlinear perturbations of cosmological scalar fields
• DBI Inflation in the Tip Region of a Warped Throat
• 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
• Large Non-Gaussianity Implication for Curvaton Scenario
• Curvature perturbation from symmetry breaking the end of inflation
• Multifield Cosmological Perturbations at Third Order and the Ekpyrotic Trispectrum
• Multi-field DBI inflation: introducing bulk forms and revisiting the gravitational wave constraints
• Lorentz boost and non-Gaussianity in multi-field DBI-inflation
• CMB anisotropies at second order III: bispectrum from products of the first-order perturbations
• Primordial Non-Gaussianity and Gravitational Waves: Observational Tests of Brane Inflation in String Theory
• Primordial Trispectrum from Entropy Perturbations in Multifield DBI Model
• N-flation from multiple DBI type actions
• One-loop graviton corrections to the curvature perturbation from inflation
• Non-gaussianity for a Two Component Hybrid Model of Inflation
• DBI-Curvaton
• Nonlinear perturbations of cosmological scalar fields with non-standard kinetic terms
• Primordial perturbations and non-Gaussianities in Hořava-Lifshitz gravity
• Constraints on Wrapped DBI Inflation in a Warped Throat
• Non-Gaussianity from Symmetry
• Improved constraints on primordial non-Gaussianity for the Wilkinson Microwave Anisotropy Probe 5-yr data
• The Trispectrum in the Multi-brid Inflation
• Non-Gaussianity from Baryon Asymmetry
• Constraints on generating the primordial curvature perturbation and non-Gaussianity from instant preheating
• N-vaton
• Non-Gaussianity from Isocurvature Perturbations : Analysis of Trispectrum
• Non-Gaussian Signatures in the five-year WMAP data as identified with isotropic scaling indices
• Loop Corrections to Cosmological Perturbations in Multi-field Inflationary Models
• Curvature and Entropy Perturbations in Generalized Gravity
• Can Relic Superhorizon Inhomogeneities be Responsible for Large-Scale CMB Anomalies?
• Curvatons in Warped Throats
• 1/R Correction to Gravity in the Early Universe
• Reheating and Cosmic String Production

Cited by in corpus (35)

• Primordial Non-Gaussianities from Inflation Models
• Quasi-Single Field Inflation and Non-Gaussianities
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• Primordial non-Gaussianity from the DBI Galileons
• Cosmological Bootstrap in Slow Motion
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation
• Cosmic-Ray Electron Excess from Pulsars is Spiky or Smooth?: Continuous and Multiple Electron/Positron injections
• Bispectrum signatures of a modified vacuum in single field inflation with a small speed of sound
• Resonant Trispectrum and a Dozen More Primordial N-point functions
• Large and strong scale dependent bispectrum in single field inflation from a sharp feature in the mass
• Combined local and equilateral non-Gaussianities from multifield DBI inflation
• Scale Dependent Local Non-Gaussianity from Loops
• Non-Gaussianity of scalar perturbations generated by conformal mechanisms
• Strong scale dependent bispectrum in the Starobinsky model of inflation
• Cosmological Dynamics of a Dirac-Born-Infeld field
• Trispectrum from Ghost Inflation
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Note on Non-Gaussianities in Two-field Inflation
• On Cross-correlations between Curvature and Isocurvature Perturbations during Inflation
• The trispectrum in ghost inflation
• Non-Gaussianity from Lifshitz Scalar
• Local non-Gaussianity from rapidly varying sound speeds
• Rotating a Curvaton Brane in a Warped Throat
• Production of non-gaussianities in a bouncing phase
• Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
• Thermal fluctuations in viscous cosmology
• Dark Matter from Entropy Perturbations in Curved Field Space
• Non-Gaussianity from false vacuum inflation: Old curvaton scenario
• Mixed non-Gaussianity in multiple-DBI inflation
• On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
• Extracting the size of the cosmic electron-positron anomaly
• Dynamics of Cosmological Perturbations in Multi-Speed Inflation
• Covariant second-order perturbations in generalized two-field inflation
• Scale dependences of local form non-Gaussianity parameters from a DBI isocurvature field