Inflation and the Theory of Cosmological Perturbations

Abstract

These lectures provide a pedagogical introduction to inflation and the theory of cosmological perturbations generated during inflation which are thought to be the origin of structure in the universe.

77 pages, 9 figures. Lectures delivered at the "ICTP Summer School on Astroparticle Physics and Cosmology", Trieste, 17 June - 5 July 2002. Many typos corrected, short sections added on non-Gaussianity and symmetries of dS, references added

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• Reheating predictions in single field inflation
• Inflation, Cosmic Perturbations and Non-Gaussianities
• The Curvaton as a Pseudo-Nambu-Goldstone Boson
• Relativistic Quantum Gravity at a Lifshitz Point
• Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation
• A note on Inflation and the Swampland
• The art of simulating the early Universe -- Part I
• BINGO: A code for the efficient computation of the scalar bi-spectrum
• Refining inflation using non-canonical scalars
• On Features and Nongaussianity from Inflationary Particle Production
• Extended matter bounce scenario in ghost free $f(R,\mathcal{G})$ gravity compatible with GW170817
• Non-Gaussian perturbations in hybrid inflation
• Enhancement of Non-Gaussianity after Inflation
• The scalar bi-spectrum in the Starobinsky model: The equilateral case
• Inflationary Infrared Divergences: Geometry of the Reheating Surface vs. delta N Formalism
• Lorentz invariant dark-spinor and inflation
• Cosmological constraints on slow-roll inflation: an update
• Gravitational Waves and Scalar Perturbations from Spectator Fields
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• On the scalar consistency relation away from slow roll
• Nongaussianity from Particle Production During Inflation
• Impact of dynamical collapse models on inflationary cosmology
• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• Tachyon constant-roll inflation
• Minimal Theoretical Uncertainties in Inflationary Predictions
• Super-inflation and generation of first order vector perturbations in ELKO
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• Brane Constant-roll Inflation
• Probing Dynamics of Boson Stars by Fast Radio Bursts and Gravitational Wave Detection
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking
• Tsallis holographic dark energy for inflation
• Cosmological Perturbations from the Standard Model Higgs
• BBN constraints on universally-coupled ultralight scalar dark matter
• Emergence of classical behavior in the early universe
• Numerically modeling stochastic inflation in slow-roll and beyond
• Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
• Tensor to scalar ratio and large scale power suppression from pre-slow roll initial conditions
• Non-Gaussianities from the Standard Model Higgs
• Light of Planck-2015 on Non-Canonical Inflation
• Consistency relation in power law G-inflation
• Probing the inflationary background of gravitational waves from large to small scales
• Primordial features from ekpyrotic bounces
• Electroweak Vacuum Instability and Renormalized Higgs Field Vacuum Fluctuations in the Inflationary Universe
• Angular correlation as a novel probe of supermassive primordial black holes
• On the Amount of Gravitational Waves from Inflation
• Radion induced inflation on non-flat brane and modulus stabilization
• Slow-Roll Inflation in Scalar-Tensor Models
• Reconciling low multipole anomalies and reheating in single field inflationary models
• Sharp inflaton potentials and bi-spectra: Effects of smoothening the discontinuity
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Probing the reheating phase through primordial magnetic field and CMB
• Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism
• Scale-dependent slowly rotating black holes with flat horizon structure
• Standard model Higgs field and hidden sector cosmology
• Dynamical properties of Bianchi-I spacetimes in $f(R)$ gravity
• Thermal fluctuations in viscous cosmology
• Degenerate Fermion Dark Matter from a Broken $U(1{)}_{\mathrm{B}-\mathrm{L}}$ Gauge Symmetry
• Heavy Particles from Inflation
• CMB imprints of non-canonical anisotropic inflation
• Thermal non-Gaussianity in holographic cosmology
• Stochastic inflation from quantum field theory and the parametric dependence of the effective noise amplitude
• Axionic Inflation from Large Volume Flux Compactifications
• Correlation functions of sourced gravitational waves in inflationary scalar vector models. A symmetry based approach
• On the fate of coupled flat directions during inflation
• Lagrangian formulation for an extended cosmological equation-of-state
• A falsely fat curvaton with an observable running of the spectral tilt
• Holographic warm inflation
• Vacuum polarization instead of "dark matter" in a galaxy
• Observational Status of Tachyon Natural Inflation and Reheating
• Perturbations in Bouncing and Cyclic Models, a General Study
• Non-minimal Higgs inflation within holographic cosmology
• The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects
• Non-Gaussianity in DHOST inflation
• Non-minimally coupled hybrid inflation
• Tachyon Mimetic Inflation as an Instabilities-Free Model
• Evidence for a Cosmological Phase Transition From the Dark Energy Scale
• Cosmological Perturbations During Radion Stabilization
• Physical Hamiltonian for mimetic gravity
• Braneworld Cosmological Perturbations in Teleparallel Gravity
• Signature of short distance physics on inflation power spectrum and CMB anisotropy
• Can dark matter drive electroweak symmetry breaking?
• Slow-Roll Inflation in the Presence of a Dark Energy Coupling
• Gravitational Wave From Axion-like Particle Inflation
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• A maximal-entropy initial state of the Universe as a microscopic description of inflation
• Lectures on Naturalness, String Landscape and Multiverse
• A Model of Large Quintessence Isocurvature Fluctuations and Low CMB Quadrupole
• Consistency Relation and Non-Gaussianity in a Galileon Inflation
• Time crystals in primordial perturbations
• PPN expansion and FRW scalar perturbations in n-DBI gravity
• Kination cosmology from scalar fields and gravitational-wave signatures
• Dark Energy Induced Anisotropy in Cosmic Expansion
• Scale-dependence in DHOST inflation
• Theoretical and observational aspects of cosmological inflation