On the full trispectrum in single field DBI-inflation
arXiv:0905.3641 · doi:10.1103/PhysRevD.80.043527
Abstract
We compute the tree-level connected four-point function of the primordial curvature perturbation for a fairly general minimally coupled single field inflationary model, where the inflaton's Lagrangian is a general function of the scalar field and its first derivatives. This model includes K-inflation and DBI-inflation as particular cases. We show that, at the leading order in the slow-roll expansion and in the small sound speed limit, there are two important tree-level diagrams for the trispectrum. One is a diagram where a scalar mode is exchanged and the other is a diagram where the interaction occurs at a point, i.e. a contact interaction diagram. The scalar exchange contribution is comparable to the contact interaction contribution. For the DBI-inflation model, in the so-called equilateral configuration, the scalar exchange trispectrum is maximized when the angles between the four momentum vectors are equal and in this case the amplitude of the trispectrum from the scalar exchange is one order of magnitude higher than the contact interaction trispectrum.
16 pages, 6 figures
References in corpus (35)
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Observational Signatures and Non-Gaussianities of General 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
- On the consistency relation of the 3-point function in single field inflation
- Non-Gaussianity in the modulated reheating scenario
- Primordial trispectrum from inflation
- A Microscopic Limit on Gravitational Waves from D-brane Inflation
- Angular Trispectrum of CMB Temperature Anisotropy from Primordial Non-Gaussianity with the Full Radiation Transfer Function
- The Inflationary Trispectrum for Models with Large Non-Gaussianities
- Primordial fluctuations and non-Gaussianities in multi-field DBI inflation
- Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
- Multi-brid inflation and non-Gaussianity
- Non-Gaussianity from Preheating
- A numerical study of non-gaussianity in the curvaton scenario
- Non-gaussianity from the trispectrum in general single field inflation
- Phenomenology of D-Brane Inflation with General Speed of Sound
- Large non-Gaussianity from multi-brid inflation
- Inflation with multiple sound speeds: a model of multiple DBI type actions and non-Gaussianities
- Comparing Infrared Dirac-Born-Infeld Brane Inflation to Observations
- 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
- DBI Inflation in the Tip Region of a Warped Throat
- Brane inflation and the WMAP data: a Bayesian analysis
- A geometric description of the non-Gaussianity generated at the end of multi-field inflation
- Gravitational Wave Constraints on DBI Inflation
- Curvature perturbation from symmetry breaking the end of inflation
- Primordial Non-Gaussianity and Gravitational Waves: Observational Tests of Brane Inflation in String Theory
- Non-gaussianity for a Two Component Hybrid Model of Inflation
- DBI-Curvaton
- Non-Gaussianity from Symmetry
- The Trispectrum in the Multi-brid Inflation
- DBI Inflation using a One-Parameter Family of Throat Geometries
- Tachyon Mediated Non-Gaussianity
- Brane Inflation and the Overshoot Problem
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- Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
- Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
- Conformal consistency relations for single-field inflation
- Review of local non-Gaussianity from multi-field inflation
- Planck 2018 results. IX. Constraints on primordial non-Gaussianity
- The Cosmological Optical Theorem
- Inflation, Cosmic Perturbations and Non-Gaussianities
- Primordial non-Gaussianity from the DBI Galileons
- Non-Gaussianity beyond slow roll in multi-field inflation
- General CMB and Primordial Trispectrum Estimation
- Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
- Large slow-roll corrections to the bispectrum of noncanonical inflation
- Effects and Detectability of Quasi-Single Field Inflation in the Large-Scale Structure and Cosmic Microwave Background
- On Classification of Models of Large Local-Type Non-Gaussianity
- Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum
- A Note on Calm Excited States of Inflation
- Primordial Non-Gaussianity in the Cosmic Microwave Background
- A Naturally Large Four-Point Function in Single Field Inflation
- DBI Realizations of the Pseudo-Conformal Universe and Galilean Genesis Scenarios
- A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
- Non-Gaussianity of quantum fields during inflation
- A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
- Consistency condition for inflation from (broken) conformal symmetry
- On the full quantum trispectrum in multi-field DBI inflation
- 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
- A new method for calculating the primordial bispectrum in the squeezed limit
- Anisotropic Trispectrum of Curvature Perturbations Induced by Primordial Non-Abelian Vector Fields
- Primordial non-Gaussianities after Planck 2015: an introductory review
- Consistency Relations for the Conformal Mechanism
- Primordial Non-Gaussianities from the Trispectra in Multiple Field Inflationary Models
- Non-Gaussianity from resonant curvaton decay
- Non-Gaussianity of scalar perturbations generated by conformal mechanisms
- Strong scale dependent bispectrum in the Starobinsky model of inflation
- Quantum Standard Clocks in the Primordial Trispectrum
- Cosmological Dynamics of a Dirac-Born-Infeld field
- Trispectrum from Ghost Inflation
- On Non-Gaussianities in Multi-Field Inflation (N fields): Bi- and Tri-spectra beyond Slow-Roll
- Multiple Soft Limits of Cosmological Correlation Functions
- Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
- Large Nonlocal Non-Gaussianity from a Curvaton Brane
- One-loop corrections to the power spectrum in general single-field inflation
- Non-Gaussianities in Collider Energy Flux
- Probing the initial state of inflation: analytical structure of cosmological correlators
- G-Curvaton
- The trispectrum in ghost inflation
- Trispectrum estimation in various models of equilateral type non-Gaussianity
- Non-Gaussianity from Lifshitz Scalar
- Enhanced Inflation in the Dirac-Born-Infeld framework
- DBI Galileon in the Effective Field Theory of Inflation: Orthogonal non-Gaussianities and constraints from the Trispectrum
- Tilt and Running of Cosmological Observables in Generalized Single-Field Inflation
- Cosmological Angular Trispectra and Non-Gaussian Covariance
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- The probability distribution for non-Gaussianity estimators constructed from the CMB trispectrum
- Constraining the WMAP9 bispectrum and trispectrum with needlets
- Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
- Scale-dependent hemispherical asymmetry from general initial state during inflation
- On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
- The Trispectrum in the Effective Theory of Inflation with Galilean symmetry
- Inflation with exotic kinetic terms in Einstein-Chern-Simons gravity
- The Trispectrum as a Diagnostic of Primordial Orthogonal non-Gaussianities
- Schwinger-Keldysh mechanism in extended quasi single field inflation
- Halo/Galaxy Bispectrum with Equilateral-type Primordial Trispectrum
- Constraining equilateral-type primordial non-Gaussianities from imaging surveys
- Connections between Minkowski and Cosmological Correlation Functions
- The Halo Mass Function from Excursion Set Theory with a Non-Gaussian Trispectrum
- Derivative Interactions during Inflation: A Systematic Approach
- The double-soft limit in cosmological correlation functions and graviton exchange effects
- Cosmological correlation functions in scalar and vector inflationary models
- Measuring CMB non-Gaussianity as a probe of Inflation and Cosmic Strings