Inflation, Cosmic Perturbations and Non-Gaussianities

Abstract

We review the theory of inflationary perturbations. Perturbations at both linear and nonlinear orders are reviewed. We also review a variety of inflation models, emphasizing their signatures on cosmic perturbations.

84 pages, 36 figures. Based on lectures given at the 7th Asian Winter School on Strings, Particles and Cosmology. v2: observational aspects updated, references added, typos corrected. v3: references added, typos corrected, version to appear on Commun. Theor. Phys. Comments are welcome

References in corpus (56)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• The Effective Field Theory of Inflation
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Monodromy in the CMB: Gravity Waves and String Inflation
• The Effective Field Theory of Cosmological Large Scale Structures
• The Anthropic Landscape of String Theory
• Primordial Non-Gaussianities from Inflation Models
• Reheating in Inflationary Cosmology: Theory and Applications
• Effective Field Theory for Inflation
• G-inflation: inflation driven by the Galileon field
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• The Atacama Cosmology Telescope: Cosmological parameters from three seasons of data
• Generation and Characterization of Large Non-Gaussianities in Single Field Inflation
• The Atacama Cosmology Telescope: Temperature and Gravitational Lensing Power Spectrum Measurements from Three Seasons of Data
• Constraints on Cosmology from the Cosmic Microwave Background Power Spectrum of the 2500 ${\mathrm{deg}}^2$ SPT-SZ Survey
• Non-Gaussianity in the modulated reheating scenario
• Perturbations in generalized multi-field inflation
• The Measure Problem in Cosmology
• The Atacama Cosmology Telescope: likelihood for small-scale CMB data
• Conformal Symmetries of Adiabatic Modes in Cosmology
• The Inflationary Trispectrum for Models with Large Non-Gaussianities
• Probing String Theory with Modulated Cosmological Fluctuations
• A Measure of de Sitter Entropy and Eternal Inflation
• Mass hierarchies and non-decoupling in multi-scalar field dynamics
• A Single Field Inflation Model with Large Local Non-Gaussianity
• Multi-brid inflation and non-Gaussianity
• Multiple field inflation
• Strongly Coupled Perturbations in Two-Field Inflationary Models
• Curvature Perturbation Spectrum in Two-field Inflation with a Turning Trajectory
• Folded Resonant Non-Gaussianity in General Single Field Inflation
• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• Non-Gaussianity in a Matter Bounce
• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections
• Primordial non-Gaussianity from G-inflation
• Effects of particle production during inflation
• Large Nongaussianity from Nonlocal Inflation
• Universal upper limit on inflation energy scale from cosmic magnetic field
• On Features and Nongaussianity from Inflationary Particle Production
• 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
• TASI Lectures on Inflation
• Predictions for Nongaussianity from Nonlocal Inflation
• Inflationary perturbation theory is geometrical optics in phase space
• The Pursuit of Non-Gaussian Fluctuations in the Cosmic Microwave Background
• Multi-field Inflation with a Random Potential
• Consistency Relations for Non-Gaussianity
• A New View of the Cosmic Landscape
• Large Nonlocal Non-Gaussianity from a Curvaton Brane
• Resonant Tunneling in Scalar Quantum Field Theory
• The scalar bi-spectrum during preheating in single field inflationary models
• Primordial Features as Evidence for Inflation
• Eternal Chaotic Inflation is Prohibited by Weak Gravity Conjecture
• Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
• Anomalous High Energy Dependence in Inflationary Density Perturbations

Cited by in corpus (101)

• Next Generation Cosmology: Constraints from the Euclid Galaxy Cluster Survey
• Schwinger-Keldysh Diagrammatics for Primordial Perturbations
• Revisiting non-Gaussianity from non-attractor inflation models
• Prospects for Cosmological Collider Physics
• Loop Corrections to Standard Model Fields in Inflation
• Standard Model Mass Spectrum in Inflationary Universe
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• Axion inflation with gauge field production and primordial black holes
• Neutrino Signatures in Primordial Non-Gaussianities
• Primordial fluctuations and non-Gaussianities in sidetracked inflation
• The Scalar Chemical Potential in Cosmological Collider Physics
• A Cosmological Higgs Collider
• Primordial Black Holes from Cosmic Domain Walls
• Evolution of cosmological perturbations and the production of non-Gaussianities through a nonsingular bounce: Indications for a no-go theorem in single field matter bounce cosmologies
• Higher Spin Supersymmetry at the Cosmological Collider: Sculpting SUSY Rilles in the CMB
• Hyper non-Gaussianities in inflation with strongly non-geodesic motion
• Multi-field inflation and cosmological perturbations
• Helical Inflation Correlators: Partial Mellin-Barnes and Bootstrap Equations
• A manifestly covariant theory of multifield stochastic inflation in phase space: solving the discretisation ambiguity in stochastic inflation
• Precision Calculation of Inflation Correlators at One Loop
• Revisiting non-Gaussianity in multifield inflation with curved field space
• Gravitational Production of Superheavy Dark Matter and Associated Cosmological Signatures
• Cosmological Signatures of Superheavy Dark Matter
• Classical Cosmological Collider Physics and Primordial Features
• Features from the non-attractor beginning of inflation
• Landscape tomography through primordial non-Gaussianity
• Flattened non-Gaussianities from the effective field theory of inflation with imaginary speed of sound
• On the scalar consistency relation away from slow roll
• Matter bounce cosmology with a generalized single field: non-Gaussianity and an extended no-go theorem
• Primordial non-Gaussianities after Planck 2015: an introductory review
• Disentangling mass spectra of multiple fields in cosmological collider
• Quantum Primordial Standard Clocks
• Heavy Spinning Particles from Signs of Primordial Non-Gaussianities: Beyond the Positivity Bounds
• Warm Quasi-Single Field Inflation
• Quantum Standard Clocks in the Primordial Trispectrum
• CMB Scale Dependent Non-Gaussianity from Massive Gravity during Inflation
• Higgs as heavy-lifted physics during inflation
• Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation
• Inflationary power asymmetry from primordial domain walls
• Clustering Fossils in Solid Inflation
• Primordial Statistical Anisotropies: The Effective Field Theory Approach
• Reconstructing the Inflationary Landscape with Cosmological Data
• The TT, TB, EB and BB correlations in anisotropic inflation
• DBI inflation with a non-minimally coupled Gauss-Bonnet term
• No time to derive: unraveling total time derivatives in in-in perturbation theory
• Collapse threshold for a cosmological Klein Gordon field
• Pre-inflation and Trans-Planckian Censorship
• Examining the consistency relations describing the three-point functions involving tensors
• Primordial non-Gaussianity and power asymmetry with quantum gravitational effects in loop quantum cosmology
• Continuous Spectrum on Cosmological Collider
• Two-field axion inflation and the swampland constraint in the flux-scaling scenario
• Statistical Anisotropies in Gravitational Waves in Solid Inflation
• Lensing anomaly and oscillations in the primordial power spectrum
• Effective Field Theory of non-Attractor Inflation
• Cosmic Decoherence: Massive Fields
• Hybrid Quasi-Single Field Inflation
• On the Decoherence of Primordial Gravitons
• Inflation with Massive Vector Fields
• TASI Lectures on Primordial Cosmology
• Analytic Formulae for Inflationary Correlators with Dynamical Mass
• Mimicking alternatives to inflation with interacting spectator fields
• Scalar induced gravitational waves from Chern-Simons gravity during inflation era
• Reconstructing the Local Potential of Inflation with BICEP2 data
• On the initial condition of inflationary fluctuations
• Position Space CMB Anomalies from Multi-Stream Inflation
• KLT-Like Behaviour of Inflationary Graviton Correlators
• Irregular universe in the Nieh-Yan modified teleparallel gravity
• Decoherence of Cosmological Perturbations from Boundary Terms and the Non-Classicality of Gravity
• On the equation-of-motion versus in-in approach in cosmological perturbation theory
• Non-Gaussian CMB and LSS statistics beyond polyspectra
• Fingerprints of a Non-Inflationary Universe from Massive Fields
• Cosmological Bell Tests with Decoherence Effects
• Fingerprints of Anomalous Primordial Universe on the Abundance of Large Scale Structures
• On Quantum Simulation Of Cosmic Inflation
• Consistency relation and inflaton field redefinition in the delta N formalism
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Numerical prescriptions of early-time divergences of the in-in formalism
• Schwinger-Keldysh mechanism in extended quasi single field inflation
• Non-Standard Primordial Clocks from Dynamical Mass in Alternative to Inflation Scenarios
• Isocurvature modes: joint analysis of the CMB power spectrum and bispectrum
• Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries
• Impact of trans-Planckian quantum noise on the Primordial Gravitational Wave spectrum
• No slow-roll inflation à la Generalized Chaplygin Gas in General Relativity
• Imprints of Schwinger Effect on Primordial Spectra
• In-in correlators and scattering amplitudes on a causal set
• One spectrum to rule them all?
• Connections between Minkowski and Cosmological Correlation Functions
• Loops in inflation with strongly non-geodesic motion
• More on the Non-Gaussianity of Perturbations in a Non-Minimal Inflationary Model
• Non-minimal Unimodular Inflation
• Higgs Inflation in Unimodular Gravity
• Constraints on primordial non-Gaussianity from Planck PR4 data
• Numerical evaluation of the tensor bispectrum in two field inflation
• The Effect of Primordial Non-Gaussianities on the Seeds of Super-Massive Black Holes
• The scalar-scalar-tensor inflationary three-point function in the axion monodromy model
• Operator Method and Recursion Relations for Inflationary Correlator
• Inflationary cross-correlations of a non-minimal spectator and their soft limits
• $\delta N$ formalism with gradient interactions
• Manifestly Unitary Cosmological Perturbation Theory
• Inflation and Dark Matter from The Low Entropy Hypothesis and Modeling Mechanism of Modified Gravity
• Weakly Broken Galileon Symmetry in Cosmology