Primordial Non-Gaussianities from Inflation Models

Abstract

This is a pedagogical review on primordial non-Gaussianities from inflation models. We introduce formalisms and techniques that are used to compute such quantities. We review different mechanisms which can generate observable large non-Gaussianities during inflation, and distinctive signatures they leave on the non-Gaussian profiles. They are potentially powerful probes to the dynamics of inflation. We also provide a non-technical and qualitative summary of the main results and underlying physics.

84 pages, invited review for special issue of Advances in Astronomy on "Testing the Gaussianity and Statistical Isotropy of the Universe"; v3, various improvement and corrections, especially in Sec.6.4, 8.1 & 9.2

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• General CMB bispectrum analysis using wavelets and separable modes
• Origin of structure: Statistical characterization of the primordial density fluctuations and the collapse of the wave function
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics
• Searching for primordial non-Gaussianity in Planck CMB maps using a combined estimator
• Sharp inflaton potentials and bi-spectra: Effects of smoothening the discontinuity
• Nonminimal coupling inflation with constant slow roll
• Reconstructing the Local Potential of Inflation with BICEP2 data
• On the initial condition of inflationary fluctuations
• Universality in generalized models of inflation
• Production of non-gaussianities in a bouncing phase
• Non-Gaussianity of a single scalar field in general covariant Hořava-Lifshitz gravity
• Effects of local features of the inflaton potential on the spectrum and bispectrum of primordial perturbations
• Non-Bunch-Davies Anisotropy
• A Modal Approach to the Numerical Calculation of Primordial non-Gaussianities
• High-resolution CMB bispectrum estimator with flexible modal basis
• Primordial black holes: constraints, potential evidence and prospects
• Probing primordial non-Gaussianity with 21 cm fluctuations from minihalos
• KLT-Like Behaviour of Inflationary Graviton Correlators
• CMB bounds on tensor-scalar-scalar inflationary correlations
• On the equation-of-motion versus in-in approach in cosmological perturbation theory
• CMB-S4 forecast on the primordial non-Gaussianity parameter of feature models
• Measuring the Energy Scale of Inflation with Large Scale Structures
• An analytic approach to perturbations from an initially anisotropic universe
• Influence of Reheating on the Trispectrum and its Scale Dependence
• Non-Gaussianities in a two-field generalization of Natural Inflation
• MSSM-inspired multifield inflation
• Primordial tensor bispectra in $\mu$-CMB cross-correlations
• Fingerprints of a Non-Inflationary Universe from Massive Fields
• Effect of damped oscillations in the inflationary potential
• Non-Gaussianity from $X,Y$ gauge bosons in Cosmological Collider Physics
• Non-Gaussian features from the inverse volume corrections in loop quantum cosmology
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Adiabatic regularisation of power spectra in $k$-inflation
• Non-Gaussian Shape Recognition
• Differentiating G-inflation from String Gas Cosmology using the Effective Field Theory Approach
• Nonlinear reconstruction of features in the primordial power spectrum from large-scale structure
• The generalized $sl(2,R)$ and $su(1,1)$ in non-minimal constant-roll inflation
• Multi-variate joint PDF for non-Gaussianities: exact formulation and generic approximations
• Mixed non-Gaussianity in multiple-DBI inflation
• Quadratic Isocurvature Cross-Correlation, Ward Identity, and Dark Matter
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• The 21cm Power Spectrum and the Shapes of Non-Gaussianity
• Biases to primordial non-Gaussianity measurements from CMB secondary anisotropies
• Constraints on primordial non-Gaussianity from the cross-correlation of DESI Luminous Red Galaxies and $Planck$ CMB lensing
• Cosmological Perturbations of a Quartet of Scalar Fields with a Spatially Constant Gradient
• Alternative approach to the Starobinsky model for inflation scenarios
• Non-Gaussianity in multi-sound-speed disformally coupled inflation
• Cosmology in nonlocal gravity
• Observational constraints on warm quasi-exponential inflation
• Fingerprints of Anomalous Primordial Universe on the Abundance of Large Scale Structures
• A Universal Bound on Excitations of Heavy Fields during Inflation
• Introduction to the number of $e$-folds in slow-roll inflation
• Resonant non-Gaussianity with equilateral properties
• Adiabatic regularisation of power spectra in nonminimally coupled chaotic inflation
• Consistency relation and inflaton field redefinition in the delta N formalism
• Scale-dependent Bias from the Reconstruction of Non-Gaussian Distributions
• On Quantum Simulation Of Cosmic Inflation
• Scalar induced gravitational waves review
• Generalized Brans-Dicke inflation with a quartic potential
• Logarithmic divergences in the $k$-inflationary power spectra computed through the uniform approximation
• Stationary Phase Approximation and Instanton-like States for Cosmological In-In Path Integrals
• On the galaxy 3-point correlation function in Modified Gravity
• Constraining primordial non-Gaussianity with cosmological weak lensing: shear and flexion
• The effect of primordial non-Gaussianity on the skeleton of cosmic shear maps
• Modified initial power spectrum and too big to fail problem
• Non-Gaussianity from Entanglement During Inflation
• Covariant second-order perturbations in generalized two-field inflation
• Constraints on Non-Gaussianity from Sunyaev--Zeldovich Cluster Surveys
• Impact of Instrumental Systematics on the CMB Bispectrum
• Non-Gaussianity in DHOST inflation
• The cosmological collider in $R^2$ inflation
• The primordial information content of Rayleigh Anisotropies
• Strongly Coupled Inflaton
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Loop corrections to primordial fluctuations from inflationary phase transitions
• Gradient expansion of superhorizon perturbations in G-inflation
• Tachyon Mimetic Inflation as an Instabilities-Free Model
• Schwinger-Keldysh mechanism in extended quasi single field inflation
• Non-Gaussianities in generalized non-local $R^2$-like inflation
• Numerical prescriptions of early-time divergences of the in-in formalism
• Non-Standard Primordial Clocks from Dynamical Mass in Alternative to Inflation Scenarios
• Primordial non-Gaussianity -- the effects of relativistic and wide-angle corrections to the power spectrum
• $\Delta N$ Formalism and Conserved Currents in Cosmology
• Some Aspects of the Tachyon Inflation with Superpotential in Confrontation with Planck2018 Data
• Primordial Non-Gaussianities of inflationary step-like models
• The Trispectrum as a Diagnostic of Primordial Orthogonal non-Gaussianities
• Non-Gaussianity in the Cosmic Microwave Background Induced by Dipolar Dark Matter
• Non-Gaussian statistics of de Sitter spectators: A perturbative derivation of stochastic dynamics
• Constraining equilateral-type primordial non-Gaussianities from imaging surveys
• Investigating the Origin of CMB Large-Scale Features Using LiteBIRD and CMB-S4
• The spatial gauge-dependence of single-field inflationary bispectra
• Shapes and features of the primordial bispectrum
• Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries
• Entropic mechanisms with generalized scalar fields in the Ekpyrotic universe
• No slow-roll inflation à la Generalized Chaplygin Gas in General Relativity
• Dip and non-linearity in the curvature perturbation from inflation with a transient non-slow-roll stage
• In-in correlators and scattering amplitudes on a causal set
• Constraining $f_{NL}$ using the Large-Scale Modulation of Small-Scale Statistics
• The large-scale structure from non-Gaussian primordial perturbations
• Degeneracy in the spectrum and bispectrum among featured inflaton potentials
• Perspectives on fundamental cosmology from Low Earth Orbit and the Moon
• One spectrum to rule them all?
• Recent Developments in Degenerate Higher Order Scalar Tensor Theories
• Connections between Minkowski and Cosmological Correlation Functions
• Lowering the self-coupling of the scalar field in a generalized Higgs inflation
• Imprints of Schwinger Effect on Primordial Spectra
• Strongly Coupled Sectors in Inflation: Gapless Theories and Unparticles
• CMB bispectrum constraints on DHOST inflation
• Cosmological consequences of statistical inhomogeneity
• Cosmological Non-Gaussianity from Neutrino Seesaw Mechanism
• Effects of boosting on extragalactic components: methods and statistical studies
• Tensor bispectrum mediated by an excited scalar field during inflation
• Nonminimal Couplings in the Early Universe: Multifield Models of Inflation and the Latest Observations
• Constraints on primordial non-Gaussianity from Planck PR4 data
• Linear Relativistic Corrections in the Spherical Fourier-Bessel Power Spectrum
• Constraints on ultra-slow-roll inflation with the NANOGrav 15-Year Dataset
• Higher order spectra from an initially anisotropic universe
• Loops in inflation with strongly non-geodesic motion
• Derivative Interactions during Inflation: A Systematic Approach
• Cosmological Signatures of Neutrino Seesaw Mechanism
• Supersymmetric Inflation from the Fifth Dimension
• The scalar-scalar-tensor inflationary three-point function in the axion monodromy model
• Observable predictions of generalised inflationary scenarios
• A Proposal for Constraining Initial Vacuum by CMB
• Numerical evaluation of the tensor bispectrum in two field inflation
• Effective Field Theory for Inflation
• Massive Fields as Systematics for Single Field Inflation
• Pair Counting without Binning -- A New Approach to Correlation Functions in Clustering Statistics
• The Lyman-alpha Forest as a tool for disentangling non-Gaussianities
• Modes of the Dark Ages 21cm field accessible to a lunar radio interferometer
• Constraining matter-bounce scenario from scalar-induced vector perturbations
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Strongly Coupled Sectors in Inflation: Gapped Theories of Unparticles
• Operator Method and Recursion Relations for Inflationary Correlator
• Nonminimal Couplings and the Forgotten Field of Axion Inflation
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• CMB spectroscopy at third-order in cosmological perturbations
• Viable Intermediate Inflation in the Mimetic DBI Model
• Measuring CMB non-Gaussianity as a probe of Inflation and Cosmic Strings
• Spectator fields and their imprints on the Cosmic Microwave Background
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• Testing a Two Field Inflation Beyond the Slow-Roll Approximation
• $\delta N$ formalism with gradient interactions
• Amplifying the Cosmological Collider with Ghost Spectators
• In-in formalism on tunneling background: multi-dimensional quantum mechanics
• Stochastic gravitational wave background anisotropies from inflation with non-Bunch-Davies states
• Inflation Story: slow-roll and beyond
• Probing Dark Matter Isocurvature with Primordial Non-Gaussianity
• Non-perpetual Eternal Inflation and the Emergent de Sitter Swampland Conjecture
• Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
• Rolling Through a Vacuum
• Cosmological Perturbations in Inflationary Models with Anisotropic Space-Time Scaling in Lifshitz Background
• Searching for Unparticles with the Cosmic Microwave Background
• Non-relativistic Cosmological Collider Signals
• Testing an Inflation Model with Nonminimal Derivative Coupling in the Light of PLANCK 2015 Data
• Revisiting the angular momentum growth of protostructures evolved from non-Gaussian initial conditions
• Bispectrum of induced gravitational waves in the poltergeist mechanism
• About One-point Statistics of the Ratio of Two Fourier-transformed Cosmic Fields and an Application
• Scale-dependence in DHOST inflation
• Non-Gaussianity in Cosmology: from Inflation to the CMB
• Weakly Broken Galileon Symmetry in Cosmology
• Recent results and perspectives on cosmology and fundamental physics from microwave surveys
• Manifestly Unitary Cosmological Perturbation Theory
• Quijote PNG: The information content of the halo power spectrum and bispectrum
• Aspects of inflation and the very early universe
• Sigmoidal Inflation
• Non-Gaussianity from explicit $U(1)$-breaking interactions
• Large-angle non-Gaussianity in simulated high-resolution CMB maps
• Enhancing Bispectrum Estimators for Galaxy Redshift Surveys with Velocities
• An Optimal In-Situ Multipole Algorithm for the Isotropic Three-Point Correlation Functions
• The Cosmic Rush Hour: Rapid Formation of Bright, Massive, Disky, Star-Forming Galaxies as Signatures of Early-Universe Physics
• Skew-spectra: a generalization to spin-$s$