Introduction to Loop Quantum Cosmology

Abstract

This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.

References in corpus (146)

• The Dynamics of General Relativity
• Background Independent Quantum Gravity: A Status Report
• Discreteness of area and volume in quantum gravity
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Geometry and Black Hole Entropy
• A new approach to the evolution of cosmological perturbations on large scales
• Quantum Theory of Gravity I: Area Operators
• Quantum Nature of the Big Bang
• Absence of Singularity in Loop Quantum Cosmology
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Quantum Spin Dynamics (QSD)
• Black hole entropy in Loop Quantum Gravity
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Robustness of key features of loop quantum cosmology
• QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
• Real and complex connections for canonical gravity
• Projective Techniques and Functional Integration
• Partial observables
• Loop quantum cosmology of k=1 FRW models
• Representations of the holonomy algebras of gravity and non-Abelian gauge theories
• Partial and Complete Observables for Hamiltonian Constrained Systems
• Loop quantum cosmology of Bianchi I models
• Partial and Complete Observables for Canonical General Relativity
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
• Fundamental Structure of Loop Quantum Gravity
• Quantum Gravity and Regge Calculus
• Isotropic Loop Quantum Cosmology
• The physical hamiltonian in nonperturbative quantum gravity
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Anomaly-free scalar perturbations with holonomy corrections in loop quantum cosmology
• The Inverse Scale Factor in Isotropic Quantum Geometry
• Loop quantum cosmology of Bianchi type IX models
• Homogeneous Loop Quantum Cosmology
• Loop quantum cosmology and the k = - 1 RW model
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Anomaly freedom in perturbative loop quantum gravity
• Towards Spinfoam Cosmology
• Quantum Observables and Recollapsing Dynamics
• Closed FRW model in Loop Quantum Cosmology
• Generalized Measures in Gauge Theory
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Anti-deSitter universe dynamics in LQC
• Quantization Ambiguities in Isotropic Quantum Geometry
• Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
• Loop quantum cosmology of Bianchi type II models
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Loop quantum gravity corrections to gravitational wave dispersion
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations
• Is loop quantization in cosmology unique?
• Loop quantum gravity effects on inflation and the CMB
• Big Crunch Avoidance in k = 1 Semi-Classical Loop Quantum Cosmology
• Loop Quantum Cosmology IV: Discrete Time Evolution
• Loop Quantum Cosmology I: Kinematics
• Observational constraints on loop quantum cosmology
• Loop quantum cosmology and inhomogeneities
• Large scale effective theory for cosmological bounces
• Loop Quantization of Vacuum Bianchi I Cosmology
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Oscillatory Universes in Loop Quantum Cosmology and Initial Conditions for Inflation
• Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• Physical evolution in Loop Quantum Cosmology: The example of vacuum Bianchi I
• Loop quantization of spherically symmetric midi-superspaces
• Quantum bounce and cosmic recall
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Loop Quantum Cosmology, Boundary Proposals, and Inflation
• Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology
• Inflation in loop quantum cosmology: Dynamics and spectrum of gravitational waves
• Exotic singularities and spatially curved Loop Quantum Cosmology
• Inhomogeneous Loop Quantum Cosmology: Hybrid Quantization of the Gowdy Model
• Loop Quantum Cosmology: Recent Progress
• Casting Loop Quantum Cosmology in the Spin Foam Paradigm
• Loop Quantum Cosmology III: Wheeler-DeWitt Operators
• The LQC evolution operator of FRW universe with positive cosmological constant
• Cosmic recall and the scattering picture of Loop Quantum Cosmology
• Cosmological footprints of loop quantum gravity
• Effective Dynamics, Big Bounces and Scaling Symmetry in Bianchi Type I Loop Quantum Cosmology
• Loop Quantum Cosmology and Spin Foams
• Hybrid Quantization: From Bianchi I to the Gowdy Model
• Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
• Almost Ideal Clocks in Quantum Cosmology: A Brief Derivation of Time
• Quantum nature of cosmological bounces
• Super-inflation in Loop Quantum Cosmology
• Gravitational waves from the Big Bounce
• Cosmological vector modes and quantum gravity effects
• Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Open FRW model in Loop Quantum Cosmology
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Cosmological constant in spinfoam cosmology
• Prescriptions in Loop Quantum Cosmology: A comparative analysis
• Hybrid Quantum Cosmology: Combining Loop and Fock Quantizations
• Observables and a Hilbert Space for Bianchi IX
• Uniqueness of the Fock quantization of the Gowdy $T^3$ model
• Quantum Gowdy $T^3$ model: A uniqueness result
• Effective Scenario of Loop Quantum Cosmology
• Loop Quantum Cosmology of Diagonal Bianchi Type I model: simplifications and scaling problems
• A Brief Introduction to Loop Quantum Cosmology
• Inflationary observables in loop quantum cosmology
• Quantum Gowdy $T^3$ model: A unitary description
• The Quantum Configuration Space of Loop Quantum Cosmology
• Canonical Quantization of the Gowdy Model
• Anomaly-free vector perturbations with holonomy corrections in loop quantum cosmology
• Quantization of Midisuperspace Models
• Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters
• Effective equations for isotropic quantum cosmology including matter
• Primordial Density Perturbation in Effective Loop Quantum Cosmology
• Physical time and other conceptual issues of QG on the example of LQC
• Matter in inhomogeneous loop quantum cosmology: the Gowdy $T^3$ model
• Unitary evolution in Gowdy cosmology
• Quantum Dynamics of the Polarized Gowdy Model
• Effective constraints of loop quantum gravity
• Many-nodes/many-links spinfoam: the homogeneous and isotropic case
• Lattice Refining LQC and the Matter Hamiltonian
• Feasibility of a Unitary Quantum Dynamics in the Gowdy $T^3$ Cosmological Model
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Inflationary scalar spectrum in loop quantum cosmology
• Classical Setting and Effective Dynamics for Spinfoam Cosmology
• Unique determination of an inner product by adjointness relations in the algebra of quantum observables
• Local spinfoam expansion in loop quantum cosmology
• Fock quantization of a scalar field with time dependent mass on the three-sphere: unitarity and uniqueness
• Observational constraints of a power spectrum from super-inflation in Loop Quantum Cosmology
• Uniqueness of the Fock quantization of fields with unitary dynamics in nonstationary spacetimes
• Gauge invariance in Loop Quantum Cosmology : Hamilton-Jacobi and Mukhanov-Sasaki equations for scalar perturbations
• Effective dynamics of the hybrid quantization of the Gowdy T^3 universe
• Recollapsing quantum cosmologies and the question of entropy
• Spinfoam Cosmology: quantum cosmology from the full theory
• Quantization of pure gravitational plane waves
• A unique Fock quantization for fields in non-stationary spacetimes
• On the Expansions in Spin Foam Cosmology
• Loop Quantization of Polarized Gowdy Model on $T^3$: Kinematical States and Constraint Operators
• Two-point functions in (loop) quantum cosmology
• Towards Loop Quantization of Plane Gravitational Waves
• Loop Quantization of Polarized Gowdy Model on $T^3$: Classical Theory
• Discrete and continuum third quantization of Gravity
• Non-Perturbative Canonical Quantization of Minisuperspace Models: Bianchi Types I and II
• Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
• Diffeomorphism invariance in spherically symmetric loop quantum gravity
• Path Integral and Effective Hamiltonian in Loop Quantum Cosmology
• Adjointness Relations as a Criterion for Choosing an Inner Product
• On plane gravitational waves in real connection variables
• First-order quantum-gravitational correction to Friedmannian cosmology from covariant, holomorphic spinfoam cosmology
• Alternative quantization of the Hamiltonian in isotropic loop quantum cosmology

Cited by in corpus (112)

• The Trinity of Relational Quantum Dynamics
• The Matter Bounce Scenario in Loop Quantum Cosmology
• Homogeneous cosmologies as group field theory condensates
• Consistency of holonomy-corrected scalar, vector and tensor perturbations in Loop Quantum Cosmology
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Emergent Friedmann dynamics with a quantum bounce from quantum gravity condensates
• Gauge-Invariant Perturbations in Hybrid Quantum Cosmology
• The universe as a quantum gravity condensate
• Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra
• Entanglement in curved spacetimes and cosmology
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• Observational issues in loop quantum cosmology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
• Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology
• Cosmological perturbations in Hybrid Loop Quantum Cosmology: Mukhanov-Sasaki variables
• Hybrid Quantization: From Bianchi I to the Gowdy Model
• Equivalence of approaches to relational quantum dynamics in relativistic settings
• Hybrid quantization of an inflationary model: The flat case
• A $\Lambda$CDM bounce scenario
• Generalized uncertainty principles and localization in discrete space
• Primordial power spectra for scalar perturbations in loop quantum cosmology
• Effective Spin Foam Models for Lorentzian Quantum Gravity
• Hybrid loop quantum cosmology and predictions for the cosmic microwave background
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Effective relational dynamics of a nonintegrable cosmological model
• Testing loop quantum cosmology
• Quantum gravity and gravitational-wave astronomy
• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
• Emergence of a low spin phase in group field theory condensates
• Observational Exclusion of a Consistent Quantum Cosmology Scenario
• Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• The loop quantum cosmology bounce as a Kasner transition
• Group field theory for quantum gravity minimally coupled to a scalar field
• A relational Hamiltonian for group field theory
• Time-dependent mass of cosmological perturbations in the hybrid and dressed metric approaches to loop quantum cosmology
• Non-Gaussianity in Loop Quantum Cosmology
• Quantum corrections to the Mukhanov-Sasaki equations
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• Timelike information broadcasting in cosmology
• Effective dynamics of scalar perturbations in a flat Friedmann-Robertson-Walker spacetime in Loop Quantum Cosmology
• Impact of nonlinear effective interactions on GFT quantum gravity condensates
• Loop Quantum Cosmology: A brief review
• Loop quantum cosmology from group field theory
• Ekpyrotic loop quantum cosmology
• Relational evolution of effectively interacting GFT quantum gravity condensates
• Inhomogeneous universe from group field theory condensate
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• States of Low Energy in bouncing inflationary scenarios in Loop Quantum Cosmology
• Emergent Cosmology from Quantum Gravity in the Lorentzian Barrett-Crane Tensorial Group Field Theory Model
• Dynamics of anisotropies close to a cosmological bounce in quantum gravity
• Identifying cosmological perturbations in group field theory condensates
• Perturbing a quantum gravity condensate
• Loop quantization of the Gowdy model with local rotational symmetry
• Loop quantum cosmology with self-dual variables
• Observational consequences of Bianchi I spacetimes in loop quantum cosmology
• Singularity avoidance in the hybrid quantization of the Gowdy model
• Loop quantum cosmology of the Bianchi I model: complete quantization
• Higher-dimensional quantum Oppenheimer-Snyder model
• Deformed symmetries in noncommutative and multifractional spacetimes
• Loop Quantum Cosmology
• Power spectrum of primordial perturbations for an emergent universe in quantum reduced loop gravity
• Singularity resolution from polymer quantum matter
• Uniqueness of the Fock quantization of scalar fields in a Bianchi I cosmology with unitary dynamics
• Fermions in Hybrid Loop Quantum Cosmology
• Loop quantum cosmology and singularities
• Frozen formalism and canonical quantization in group field theory
• Anisotropic loop quantum cosmology with self-dual variables
• Modified FRW cosmologies arising from states of the hybrid quantum Gowdy model
• Diffeomorphism invariant cosmological sector in loop quantum gravity
• A quantum gravity extension to the Mixmaster dynamics
• Alleviation of anomalies from the non-oscillatory vacuum in loop quantum cosmology
• Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology
• Backreaction of fermionic perturbations in the Hamiltonian of hybrid loop quantum cosmology
• Our Universe from the cosmological constant
• Approximation methods in Loop Quantum Cosmology: From Gowdy cosmologies to inhomogeneous models in Friedmann-Robertson-Walker geometries
• Lorentzian quantum cosmology from effective spin foams
• Unitary evolution and uniqueness of the Fock representation of Dirac fields in cosmological spacetimes
• Could Planck Star Remnants be Dark Matter?
• Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
• Towards anisotropic cosmology in group field theory
• Modeling effective FRW cosmologies with perfect fluids from states of the hybrid quantum Gowdy model
• Effective $f(R)$ actions for modified Loop Quantum Cosmologies via order reduction
• Pre-big bang geometric extensions of inflationary cosmologies
• Aspects of Quantum Gravity in Cosmology
• The energy spectrum of gravitational waves in a loop quantum cosmological model
• Next step in gravity and cosmology: fundamental theory or data-driven models?
• Solvable Loop Quantum Cosmology: domain of the volume observable and semiclassical states
• Estimation of imprints of the bounce in loop quantum cosmology on the bispectra of cosmic microwave background
• Loop quantum cosmology in 2+1 dimension
• Geometric phases and cyclic isotropic cosmologies
• Gauge-invariant perturbations at a quantum gravity bounce
• Thermodynamics in new model of loop quantum cosmology
• Low-curvature quantum corrections from unitary evolution of de Sitter space
• The Quantum Echo of the Early Universe
• Aspects of quantum gravity
• Local Properties of Measures in Quantum Field Theory and Cosmology
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• An Interesting property of the Friedman Universes
• Inhomogenous loop quantum cosmology with matter
• Time Asymmetry of Cosmic Background Evolution in Loop Quantum Cosmology
• Inclusion of matter in inhomogeneous loop quantum cosmology
• Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom
• (2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality
• Cosmological dynamics in spin-foam loop quantum cosmology: challenges and prospects
• Spacetime Quanta? : The Discrete Spectrum of a Quantum Spacetime Four-Volume Operator in Unimodular Loop Quantum Cosmology
• The Effect of a positive cosmological constant on the bounce of Loop Quantum Cosmology
• Introdução à Cosmologia Quântica
• Effective dynamics of Janis-Newman-Winicour spacetime
• The status of geometry and matter in re-interpreted WdW equation
• Thermal Time and Kepler's Second Law