Quantum Spin Dynamics (QSD)

Abstract

An anomaly-free operator corresponding to the Wheeler-DeWitt constraint of Lorentzian, four-dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum. This operator is entirely free of factor ordering singularities and can be defined in symmetric and non-symmetric form. We work in the real connection representation and obtain a well-defined quantum theory. We compute the complete solution to the Quantum Einstein Equations for the non-symmetric version of the operator and a physical inner product thereon. The action of the Wheeler-DeWitt constraint on spin-network states is by annihilating, creating and rerouting the quanta of angular momentum associated with the edges of the underlying graph while the ADM-energy is essentially diagonalized by the spin-network states. We argue that the spin-network representation is the ``non-linear Fock representation" of quantum gravity, thus justifying the term ``Quantum Spin Dynamics (QSD)".

33 pages, Latex, followed by companion paper after this one

References in corpus (22)

• Discreteness of area and volume in quantum gravity
• Quantum Theory of Gravity I: Area Operators
• Real Ashtekar Variables for Lorentzian Signature Space-times
• Spin Networks and Quantum Gravity
• QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
• Projective Techniques and Functional Integration
• Representations of the holonomy algebras of gravity and non-Abelian gauge theories
• Differential Geometry on the Space of Connections via Graphs and Projective Limits
• Spin Network States in Gauge Theory
• Quantum Spin Dynamics (QSD) II
• The physical hamiltonian in nonperturbative quantum gravity
• QSD III : Quantum Constraint Algebra and Physical Scalar Product in Quantum General Relativity
• On the support of the Ashtekar-Lewandowski measure
• Generalized Measures in Gauge Theory
• Representation Theory of Analytic Holonomy C* Algebras
• QSD IV : 2+1 Euclidean Quantum Gravity as a model to test 3+1 Lorentzian Quantum Gravity
• Volume and Quantizations
• Reality conditions inducing transforms for quantum gauge field theory and quantum gravity
• QSD VI : Quantum Poincaré Algebra and a Quantum Positivity of Energy Theorem for Canonical Quantum Gravity
• Almost Ideal Clocks in Quantum Cosmology: A Brief Derivation of Time
• The constraint algebra of quantum gravity in the loop representation
• Perturbation study on the spin and charge susceptibilities of the two-dimensional Hubbard model

Cited by in corpus (532)

• Background Independent Quantum Gravity: A Status Report
• Loop Quantum Cosmology: A Status Report
• Quantum Nature of the Big Bang: Improved dynamics
• Absence of Singularity in Loop Quantum Cosmology
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Loop Quantum Cosmology
• Quantum gravity corrections to neutrino propagation
• Robustness of key features of loop quantum cosmology
• Quantum Gravity: a Progress Report
• Quantum geometry and the Schwarzschild singularity
• QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
• Loop quantum gravity and light propagation
• Loop quantum cosmology of k=1 FRW models
• The loop-quantum-gravity vertex-amplitude
• A Short Review of Loop Quantum Gravity
• Group Field Theory: An overview
• Partial and Complete Observables for Canonical General Relativity
• Fundamental Structure of Loop Quantum Gravity
• Quantum gravity, shadow states, and quantum mechanics
• Loop quantum black hole
• Isotropic Loop Quantum Cosmology
• The Phoenix Project: Master Constraint Programme for Loop Quantum Gravity
• Flipped spinfoam vertex and loop gravity
• Quantum Spin Dynamics (QSD) II
• Loop quantization of the Schwarzschild black hole
• Polyhedra in loop quantum gravity
• Inflation from Quantum Geometry
• Disappearance of Black Hole Singularity in Quantum Gravity
• Gauge Field Theory Coherent States (GCS) : I. General Properties
• Gauge Field Theory Coherent States (GCS) : II. Peakedness Properties
• The Inverse Scale Factor in Isotropic Quantum Geometry
• Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories
• Three dimensional loop quantum gravity: physical scalar product and spin foam models
• Loop quantum cosmology of Bianchi type IX models
• Loop quantum gravity: an outside view
• Quantum cosmology: a review
• Homogeneous Loop Quantum Cosmology
• Loop quantum cosmology and the k = - 1 RW model
• QSD III : Quantum Constraint Algebra and Physical Scalar Product in Quantum General Relativity
• Black Holes in Loop Quantum Gravity
• Algebraic Quantum Gravity (AQG) I. Conceptual Setup
• The Area Operator in the Spherically Symmetric Sector of Loop Quantum Gravity
• Quantum Symmetry Reduction for Diffeomorphism Invariant Theories of Connections
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Anomaly freedom in perturbative loop quantum gravity
• A length operator for canonical quantum gravity
• Coherent States for Canonical Quantum General Relativity and the Infinite Tensor Product Extension
• Algebraic Quantum Gravity (AQG) IV. Reduced Phase Space Quantisation of Loop Quantum Gravity
• Introduction to Loop Quantum Cosmology
• Gravity quantized
• Closed formula for the matrix elements of the volume operator in canonical quantum gravity
• Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
• Anti-deSitter universe dynamics in LQC
• Alternative quantization of the Hamiltonian in loop quantum cosmology II: Including the Lorentz term
• Quantization Ambiguities in Isotropic Quantum Geometry
• Loop Quantum Gravity: An Inside View
• Scalar Material Reference Systems and Loop Quantum Gravity
• Loop quantum cosmology of Bianchi type II models
• Loop quantum gravity corrections to gravitational wave dispersion
• Reduced Phase Space Quantization and Dirac Observables
• An invitation to loop quantum gravity
• Gauge Field Theory Coherent States (GCS) : III. Ehrenfest Theorems
• Gauge Field Theory Coherent States (GCS) : IV. Infinite Tensor Product and Thermodynamical Limit
• Quantum gravity with a positive cosmological constant
• Deformed General Relativity and Effective Actions from Loop Quantum Gravity
• Loop Quantum Cosmology IV: Discrete Time Evolution
• Quantum black holes in Loop Quantum Gravity
• QSD IV : 2+1 Euclidean Quantum Gravity as a model to test 3+1 Lorentzian Quantum Gravity
• Loop Quantum Cosmology I: Kinematics
• Dynamical Initial Conditions in Quantum Cosmology
• The Semiclassical Limit of Loop Quantum Cosmology
• Observational constraints on loop quantum cosmology
• Effective line elements and black-hole models in canonical (loop) quantum gravity
• On the Hamiltonian Constraint of Loop Quantum Cosmology
• Cosmological Effective Hamiltonian from full Loop Quantum Gravity Dynamics
• Loop quantum cosmology and inhomogeneities
• Complexifier Coherent States for Quantum General Relativity
• Quantum gravity and spin 1/2 particles effective dynamics
• Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
• Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework
• Towards Cosmological Dynamics from Loop Quantum Gravity
• Spectral Analysis of the Volume Operator in Loop Quantum Gravity
• Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity
• On the regularization ambiguities in loop quantum gravity
• Quantum Spin Dynamics (QSD) : VII. Symplectic Structures and Continuum Lattice Formulations of Gauge Field Theories
• The length operator in Loop Quantum Gravity
• Shadow and stability of quantum-corrected black holes
• Loop Quantum Cosmology in Bianchi Type I Models: Analytical Investigation
• Polymer and Fock representations for a Scalar field
• Loop Quantum Cosmology, Boundary Proposals, and Inflation
• 4-dimensional Spin-foam Model with Quantum Lorentz Group
• Quantum Spin Dynamics VIII. The Master Constraint
• Spherically symmetric loop quantum gravity: analysis of improved dynamics
• Quantum Gravity and Higher Curvature Actions
• The projector on physical states in loop quantum gravity
• Geometric quantization and the generalized Segal-Bargmann transform for Lie groups of compact type
• Are the spectra of geometrical operators in Loop Quantum Gravity really discrete?
• From the discrete to the continuous - towards a cylindrically consistent dynamics
• Quantum geometry with intrinsic local causality
• Loop quantum gravity: the first twenty five years
• Non-marginal LTB-like models with inverse triad corrections from loop quantum gravity
• Loop Quantum Cosmology: Recent Progress
• Observational issues in loop quantum cosmology
• How far are we from the quantum theory of gravity?
• Quantum-Reduced Loop Gravity: Cosmology
• QSD VI : Quantum Poincaré Algebra and a Quantum Positivity of Energy Theorem for Canonical Quantum Gravity
• On Singularity Resolution in Quantum Gravity
• Emergent de Sitter epoch of the quantum Cosmos
• Critical evaluation of common claims in loop quantum cosmology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Towards the QFT on Curved Spacetime Limit of QGR. I: A General Scheme
• Disordered locality in loop quantum gravity states
• Dynamical coherent states and physical solutions of quantum cosmological bounces
• Loop Quantum Cosmology II: Volume Operators
• Quantum gravity predictions for black hole interior geometry
• New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis
• Loop Quantum Cosmology III: Wheeler-DeWitt Operators
• Anomaly-free perturbations with inverse-volume and holonomy corrections in Loop Quantum Cosmology
• Spin Foams and Canonical Quantization
• Cosmic recall and the scattering picture of Loop Quantum Cosmology
• A new vacuum for Loop Quantum Gravity
• Observational test of inflation in loop quantum cosmology
• Quantization ambiguities and bounds on geometric scalars in anisotropic loop quantum cosmology
• Algebraic Quantum Gravity (AQG) II. Semiclassical Analysis
• Consistent Loop Quantum Cosmology
• Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
• Generalized uncertainty principles and localization in discrete space
• Quantum nature of cosmological bounces
• Super-inflation in Loop Quantum Cosmology
• Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity II
• Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity I
• Hamiltonian cosmological perturbation theory with loop quantum gravity corrections
• Formation and Evolution of Structure in Loop Cosmology
• On (Cosmological) Singularity Avoidance in Loop Quantum Gravity
• Canonical quantization of general relativity in discrete space-times
• Cosmological vector modes and quantum gravity effects
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Qualitative dynamics and inflationary attractors in loop cosmology
• Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
• A lattice worldsheet sum for 4-d Euclidean general relativity
• Towards an Anomaly-Free Quantum Dynamics for a Weak Coupling Limit of Euclidean Gravity
• From covariant to canonical formulations of discrete gravity
• Testing the Master Constraint Programme for Loop Quantum Gravity II. Finite Dimensional Systems
• Photons from quantized electric flux representations
• New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory
• Strings, loops and others: a critical survey of the present approaches to quantum gravity
• Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Lorentzian Theory
• New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis
• Area spectrum in Lorentz covariant loop gravity
• Canonical Gravity with Fermions
• New length operator for loop quantum gravity
• The gravitational wave background from super-inflation in Loop Quantum Cosmology
• Gauge-invariant coherent states for Loop Quantum Gravity I: Abelian gauge groups
• Algebraic Quantum Gravity (AQG) III. Semiclassical Perturbation Theory
• Time evolution as refining, coarse graining and entangling
• Coherent states on spheres
• Comparison of primordial tensor power spectra from the deformed algebra and dressed metric approaches in loop quantum cosmology
• Hypersurface-deformation algebroids and effective space-time models
• A new perspective on cosmology in Loop Quantum Gravity
• Spin Networks for Non-Compact Groups
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• Prescriptions in Loop Quantum Cosmology: A comparative analysis
• Linking covariant and canonical LQG: new solutions to the Euclidean Scalar Constraint
• Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories
• Diffeomorphism covariant representations of the holonomy-flux star-algebra
• Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Euclidean Theory
• Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
• Holonomy Corrections in the Effective Equations for Scalar Mode Perturbations in Loop Quantum Cosmology
• New scalar constraint operator for loop quantum gravity
• A generalized Hamiltonian Constraint Operator in Loop Quantum Gravity and its simplest Euclidean Matrix Elements
• Effective Dynamics from Coherent State Path Integral of Full Loop Quantum Gravity
• Quantum Cosmology: Effective Theory
• Properties of the Volume Operator in Loop Quantum Gravity I: Results
• Hamiltonian operator for loop quantum gravity coupled to a scalar field
• Relating loop quantum cosmology to loop quantum gravity: Symmetric sectors and embeddings
• Inflationary observables in loop quantum cosmology
• On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories
• Emergent de Sitter epoch of the Loop Quantum Cosmos: a detailed analysis
• Uniform discretizations: a new approach for the quantization of totally constrained systems
• Quantum Reduced Loop Gravity: Semiclassical limit
• Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories
• Dynamics for a 2-vertex Quantum Gravity Model
• Supersymmetric Spin Networks and Quantum Supergravity
• Testing the Master Constraint Programme for Loop Quantum Gravity III. SL(2,R) Models
• Constraint algebra in LQG reloaded : Toy model of a U(1)^{3} Gauge Theory I
• Gravitons from a loop representation of linearised gravity
• Primordial black holes in loop quantum cosmology: The effect on the threshold
• The covariant entropy bound and loop quantum cosmology
• Genericness of pre-inflationary dynamics and probability of the desired slow-roll inflation in modified loop quantum cosmologies
• Spherically symmetric Einstein-Maxwell theory and loop quantum gravity corrections
• Quantum Gravity: A Brief History of Ideas and Some Prospects
• Isotropic Loop Quantum Cosmology with Matter
• Lattice loop quantum cosmology: scalar perturbations
• Absence of pre-classical solutions in Bianchi I loop quantum cosmology
• Inhomogeneities, loop quantum gravity corrections, constraint algebra and general covariance
• Master Constraint Operator in Loop Quantum Gravity
• Effective constraints of loop quantum gravity
• Critical Overview of Loops and Foams
• Quantum evolution of black hole initial data sets: Foundations
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Consistency Conditions for Fundamentally Discrete Theories
• Loop Quantum Gravity Vacuum with Nondegenerate Geometry
• Hilbert space structure of covariant loop quantum gravity
• Bounce Loop Quantum Cosmology Corrected Gauss-Bonnet Gravity
• Dynamical Singularity Resolution in Spherically Symmetric Black Hole Formation
• Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
• Quantum Reduced Loop Gravity and the foundation of Loop Quantum Cosmology
• Discreteness corrections and higher spatial derivatives in effective canonical quantum gravity
• A regularization of the hamiltonian constraint compatible with the spinfoam dynamics
• Cosmological Coherent State Expectation Values in LQG I. Isotropic Kinematics
• Constraint algebra in LQG reloaded : Toy model of an Abelian gauge theory - II Spatial Diffeomorphisms
• The Dark Side of a Patchwork Universe
• Polymer quantization of the free scalar field and its classical limit
• Quantum gravity and the Coulomb potential
• Polymer quantization, singularity resolution and the 1/r^2 potential
• A curvature operator for LQG
• Hamiltonian Renormalisation I: Derivation from Osterwalder-Schrader Reconstruction
• The century of the incomplete revolution: searching for general relativistic quantum field theory
• Loop Quantum Gravity
• The Thiemann Complexifier and the CVH algebra for Classical and Quantum FLRW Cosmology
• Loop quantum cosmology of a radiation-dominated flat FLRW universe
• Information loss, made worse by quantum gravity?
• Consistent canonical quantization of general relativity in the space of Vassiliev knot invariants
• A symmetric scalar constraint for loop quantum gravity
• Quantum Reduced Loop Gravity: a realistic Universe
• Coordinate time dependence in Quantum Gravity
• An Overview on the Nature of the Bounce in LQC and PQM
• A quantum reduction to Bianchi I models in loop quantum gravity
• The Volume Operator in Spherically Symmetric Quantum Geometry
• Towards a reduced phase space quantization in loop quantum cosmology with an inflationary potential
• The Hamiltonian constraint in Polymer Parametrized Field Theory
• Mathematical Structure of Loop Quantum Cosmology: Homogeneous Models
• Linking covariant and canonical LQG II: Spin foam projector
• Dirac's discrete hypersurface deformation algebras
• Towards Loop Quantum Supergravity (LQSG)
• Flux formulation of loop quantum gravity: Classical framework
• New Hamiltonian constraint operator for loop quantum gravity
• Constraints on a scale invariant power spectrum from superinflation in LQC
• The Diffeomorphism Constraint Operator in Loop Quantum Gravity
• From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity
• Modified general relativity as a model for quantum gravitational collapse
• Properties of the Volume Operator in Loop Quantum Gravity II: Detailed Presentation
• The Fock Space of Loopy Spin Networks for Quantum Gravity
• Consistent discretization and loop quantum geometry
• Unboundedness of Triad -- Like Operators in Loop Quantum Gravity
• Background independent quantization and wave propagation
• Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter
• An elementary introduction to loop quantum gravity
• Elements of Loop Quantum Cosmology
• Generating function techniques for loop quantum cosmology
• Degenerate Configurations, Singularities and the Non-Abelian Nature of Loop Quantum Gravity
• Inverse volume corrections from loop quantum gravity and the primordial tensor power spectrum in slow-roll inflation
• Hawking radiation from a spherical loop quantum gravity black hole
• Protected $SL(2,\mathbb{R})$ Symmetry in Quantum Cosmology
• Gravitational collapse in loop quantum gravity
• Holonomy Operator and Quantization Ambiguities on Spinor Space
• Semiclassical analysis of the Loop Quantum Gravity volume operator: I. Flux Coherent States
• Quantum-Reduced Loop-Gravity: Relation with the Full Theory
• Improved ($\bar{\mu }$-Scheme) Effective Dynamics of Full Loop Quantum Gravity
• Physical Properties of Quantum Field Theory Measures
• The perturbative Regge-calculus regime of Loop Quantum Gravity
• Laplacians on discrete and quantum geometries
• Phenomenological implications of modified loop cosmologies: an overview
• The constraints of post-quantum classical gravity
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• Coherent states, constraint classes, and area operators in the new spin-foam models
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Diffeomorphism invariant Quantum Field Theories of Connections in terms of webs
• Loop quantization as a continuum limit
• Matrix Elements of Lorentzian Hamiltonian Constraint in LQG
• Eleven dimensional supergravity as a constrained topological field theory
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Towards an Anomaly-Free Quantum Dynamics for a Weak Coupling Limit of Euclidean Gravity: Diffeomorphism Covariance
• Bouncing evolution in a model of loop quantum gravity
• Time evolution in deparametrized models of loop quantum gravity
• Fermions in Loop Quantum Cosmology and the Role of Parity
• Recollapsing quantum cosmologies and the question of entropy
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Semiclassical states for quantum cosmology
• 4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic Block
• Minisuperspace models as infrared contributions
• Gravitational dynamics: A novel shift in the Hamiltonian paradigm
• Brief review on black hole loop quantization
• New Variables for Classical and Quantum Gravity in all Dimensions V. Isolated Horizon Boundary Degrees of Freedom
• Implications of the gauge-fixing in Loop Quantum Cosmology
• The Martin-Benito-Mena Marugan-Olmedo prescription for the Dapor-Liegener model of Loop Quantum Cosmology
• The constraint algebra in Smolins' $G\to 0$ limit of 4d Euclidean Gravity
• Background independent quantizations: the scalar field II
• Extended matter coupled to BF theory
• Quantization of systems with temporally varying discretization II: Local evolution moves
• Ising Spin Network States for Loop Quantum Gravity: a Toy Model for Phase Transitions
• An embedding of loop quantum cosmology in (b, v) variables into a full theory context
• Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector
• New volume and inverse volume operators for loop quantum gravity
• EPRL/FK Asymptotics and the Flatness Problem
• Spherically Symmetric Quantum Horizons
• Radiation from quantum weakly dynamical horizons in LQG
• First-Order Quantum Correction in Coherent State Expectation Value of Loop-Quantum-Gravity Hamiltonian
• Non-linear (loop) quantum cosmology
• Spin-Foam Models and the Physical Scalar Product
• Loop quantum gravity coupled to a scalar field
• Polymer quantization and the saddle point approximation of partition functions
• Towards Loop Quantum Supergravity (LQSG) II. p-Form Sector
• Quantization of systems with temporally varying discretization I: Evolving Hilbert spaces
• Consistent and mimetic discretizations in general relativity
• Lattice knot theory and quantum gravity in the loop representation
• Loop quantum cosmology with self-dual variables
• Twisted geometries, twistors and conformal transformations
• Canonical quantum gravity in the Vassiliev invariants arena: II. Constraints, habitats and consistency of the constraint algebra
• The high-density regime of kinetic-dominated loop quantum cosmology
• Discretisations, Constraints and Diffeomorphisms in Quantum Gravity
• New Loop Quantum Cosmology Modifications from Gauge-covariant Fluxes
• Quantization of diffeomorphism invariant theories of connections with a non-compact structure group - an example
• On alternative approaches to Lorentz violation in loop quantum gravity inspired models
• Learning about Quantum Gravity with a Couple of Nodes
• Hamiltonian Renormalisation IV. Renormalisation Flow of D+1 dimensional free scalar fields and Rotation Invariance
• Dynamics of Scalar Field in Polymer-like Representation
• A proposal for analyzing the classical limit of kinematic loop gravity
• Loop Quantum Gravity on Dynamical Lattice and Improved Cosmological Effective Dynamics with Inflaton
• Coherent states, quantum gravity and the Born-Oppenheimer approximation, III: Applications to loop quantum gravity
• Towards the self-adjointness of a Hamiltonian operator in loop quantum gravity
• Shortcomings of the Big Bounce derivation in Loop Quantum Cosmology
• Diffeomorphism symmetry in quantum gravity models
• Dirac Fields in Loop Quantum Gravity and Big Bang Nucleosynthesis
• Anomaly freedom in perturbative models of Euclidean loop quantum gravity
• Dynamical evaporation of quantum horizons
• Coherent states for quantum gravity: towards collective variables
• Von Neumann stability of modified loop quantum cosmologies
• Classical and quantum general relativity: a new paradigm
• Holonomy Spin Foam Models: Boundary Hilbert spaces and Time Evolution Operators
• Spinning Particle Dynamics and ISCO in Covariant Loop Quantum Gravity
• Canonical quantum gravity in the Vassiliev invariants arena: I. Kinematical structure
• A no-singularity scenario in loop quantum gravity
• Generalized Lagrangian of N = 1 supergravity and its canonical constraints with the real Ashtekar variable
• Effective constraint algebras with structure functions
• Quantum geometry from higher gauge theory
• Polymer quantization of the Einstein-Rosen wormhole throat
• A quantum reduction to spherical symmetry in loop quantum gravity
• Separable Hilbert space for loop quantization
• A candidate for a background independent formulation of M theory
• The radiation equation of state and loop quantum gravity corrections
• The graviton vacuum as a distributional state in kinematic Loop Quantum Gravity
• Euclidean LQG Dynamics: An Electric Shift in Perspective
• Diffeomorphism invariant cosmological symmetry in full quantum gravity
• On the Relation between Rigging Inner Product and Master Constraint Direct Integral Decomposition
• Emergent Braided Matter of Quantum Geometry
• Challenges in recovering a consistent cosmology from the effective dynamics of loop quantum gravity
• Irreducibility of the Ashtekar-Isham-Lewandowski representation
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Projective Loop Quantum Gravity I. State Space
• A critical analysis of the cosmological implementation of Loop Quantum Gravity
• Loop quantum cosmology: relation between theory and observations
• The volume operator for spin networks with planar or cylindrical symmetry
• Discrete gravity as a topological field theory with light-like curvature defects
• Dilaton Gravity, Poisson Sigma Models and Loop Quantum Gravity
• The Wald entropy formula and loop quantum gravity
• Topspin Networks in Loop Quantum Gravity
• Boundary conditions in quantum mechanics on the discretized half-line
• Anisotropic loop quantum cosmology with self-dual variables
• Causality in Spin Foam Models
• Isotropic Loop Quantum Cosmology with Matter II: The Lorentzian Constraint
• A note on entanglement entropy and quantum geometry
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Spinfoam Fermions: PCT Symmetry, Dirac Determinant, and Correlation Functions
• Quasi-Local Energy in Loop Quantum Gravity
• Quantum Geometry and its Implications for Black Holes
• Primordial perturbations in the Dapor-Liegener model of hybrid loop quantum cosmology
• Scalar curvature operator for models of loop quantum gravity on a cubical graph
• Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant
• Diffeomorphism invariant cosmological sector in loop quantum gravity
• Propagating spin modes in canonical quantum gravity
• Canonical path integral measures for Holst and Plebanski gravity. I. Reduced Phase Space Derivation
• Long range correlations in quantum gravity
• Relating Covariant and Canonical Approaches to Triangulated Models of Quantum Gravity
• Loop quantum gravity and cosmological constant
• Deriving loop quantum cosmology dynamics from diffeomorphism invariance
• Black-hole horizons in modified space-time structures arising from canonical quantum gravity
• State refinements and coarse graining in a full theory embedding of loop quantum cosmology
• Loop quantum cosmology of Bianchi IX: Inclusion of inverse triad corrections
• Non-Gaussian features from the inverse volume corrections in loop quantum cosmology
• Surface state decoherence in loop quantum gravity, a first toy model
• On the resolution of the big bang singularity in isotropic Loop Quantum Cosmology
• Loop Quantum Gravity's Boundary Maps
• Factor ordering and large-volume dynamics in quantum cosmology
• Loop Quantum Cosmology: Effective theories and oscillating universes
• Consistency check on the fundamental and alternative flux operators in loop quantum gravity
• Loop effective model for Schwarzschild black hole interior: a modified $\bar{\mu }$ dynamics
• Alternative dynamics in loop quantum Brans-Dicke cosmology
• From Euclidean to Lorentzian Loop Quantum Gravity via a Positive Complexifier
• Propagation in Polymer Parameterised Field Theory
• Lessons for Loop Quantum Gravity from Parametrised Field Theory
• Hamiltonian analysis of the double null 2+2 decomposition of Ashtekar variables
• On quantum propagation in Smolin's weak coupling limit of 4d Euclidean Gravity
• Reduced Phase Space Approach to the $U(1{)}^3$ model for Euclidean Quantum Gravity
• Exploring the diffeomorphism invariant Hilbert space of a scalar field
• Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
• Ashtekar-Barbero holonomy on the hyperboloid: Immirzi parameter as a Cut-off for Quantum Gravity
• On the relation between reduced quantisation and quantum reduction for spherical symmetry in loop quantum gravity
• Application of higher order holonomy corrections to perturbation theory of cosmology
• Oriented Matroids -- Combinatorial Structures Underlying Loop Quantum Gravity
• Continuous formulation of the Loop Quantum Gravity phase space
• Spinfoams: Foundations
• A finite spin-foam-based theory of three and four dimensional quantum gravity
• Lessons from Toy-Models for the Dynamics of Loop Quantum Gravity
• Covariant Origin of the $U(1{)}^3$ model for Euclidean Quantum Gravity
• The landscape of polymer quantum cosmology
• New 'phase' of quantum gravity
• The large cosmological constant approximation to classical and quantum gravity: model examples
• Loop Quantum Gravity and Cosmology: A dynamical introduction
• Gauge-invariant bounce from loop quantum gravity
• Canonical linearized Regge Calculus: counting lattice gravitons with Pachner moves
• Inequivalence of mimetic gravity with models of loop quantum gravity
• Piecewise linear loop quantum gravity
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Quantum reduced loop gravity: extension to scalar field
• Universal properties of the evolution of the Universe in modified loop quantum cosmology
• Classification of constraints and degrees of freedom for quadratic discrete actions
• Classical Geometry from a Physical State in Canonical Quantum Gravity
• Hilbert space built over connections with a non-compact structure group
• Towards the fundamental spectrum of the Quantum Yang-Mills Theory
• Path integral renormalisation in loop quantum cosmology
• Loop quantum cosmology and the Wheeler-De Witt equation
• Canonical ``Loop'' Quantum Gravity and Spin Foam Models
• Quasilocal Energy for Spin-net Gravity
• Universe scenarios from loop quantum cosmology
• Dapor-Liegener formalism of loop quantum cosmology for Bianchi I spacetimes
• Minisuperspace models of discrete systems
• Modifications to Gravitational Wave Equation from Canonical Quantum Gravity
• The theta parameter in loop quantum gravity: effects on quantum geometry and black hole entropy
• The status of Quantum Geometry in the dynamical sector of Loop Quantum Cosmology
• Properties of the Hamiltonian Renormalisation and its application to quantum mechanics on the circle
• Semiclassical cosmology with polymer matter
• On the polymer quantization of connection theories: graph coherent states
• Uniform discretizations: a quantization procedure for totally constrained systems including gravity
• Renormalisation with SU(1, 1) coherent states on the LQC Hilbert space
• Conformal loop quantum gravity coupled to the Standard Model
• Quantization of static space-times
• The volume operator for singly polarized gravity waves with planar or cylindrical symmetry
• A new realization of quantum geometry
• Real sector of the nonminimally coupled scalar field to self-dual gravity
• A diffeomorphism invariant family of metric-affine actions for loop cosmologies
• Loop quantum cosmology from an alternative Hamiltonian
• Algorithmic approach to Cosmological Coherent State Expectation Values in LQG
• $\mathcal{N}=1$ Supergravity with LQG methods and quantization of the SUSY constraint
• Fermion coupling to loop quantum gravity: canonical formulation
• Intertwiner Entanglement Excitation and Holonomy Operator
• Loop Quantum Cosmology: Physics of Singularity Resolution and its Implications
• Is the diagonal case a general picture for Loop Quantum Cosmology?
• Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory
• Graph coherent states for loop quantum gravity
• Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity
• The geometry and entanglement entropy of surfaces in loop quantum gravity
• Existence of Spinorial States in Pure Loop Quantum Gravity
• Structural aspects of loop quantum gravity and loop quantum cosmology from an algebraic perspective
• Some notes on the Kodama state, maximal symmetry, and the isolated horizon boundary condition
• Graphical method in loop quantum gravity: I. Derivation of the closed formula for the matrix element of the volume operator
• A note on quantum supergravity and AdS/CFT
• A Path-integral for the Master Constraint of Loop Quantum Gravity
• Approximating the physical inner product of Loop Quantum Cosmology
• String theory in a vertex operator representation: a simple model for testing loop quantum gravity
• Shape Dynamical Loop Gravity from a Conformal Immirzi Parameter
• Towards quantum gravity with neural networks: Solving quantum Hamilton constraints of 3d Euclidean gravity in the weak coupling limit
• Probing the Shape of Quantum Surfaces: the Quadrupole Moment Operator
• Loop quantum cosmology from an alternative Hamiltonian. II. Including the Lorentzian term
• Relating spin-foam to canonical loop quantum gravity by graphical calculus
• Dynamics in canonical models of loop quantum gravity
• The fermionic contribution to the spectrum of the area operator in nonperturbative quantum gravity
• Matter in Loop Quantum Gravity
• Scalar curvature operator for quantum-reduced loop gravity
• Quantum reduced loop gravity: extension to gauge vector field
• A review on Loop Quantum Gravity
• Positive energy in quantum gravity
• Including topology change in Loop Quantum Gravity with topspin network formalism with application to homogeneous and isotropic cosmology
• A quantum kinematics for asymptotically flat spacetimes
• Classical versus quantum evolution for a universe with a positive cosmological constant
• Covariant effective spacetimes of spherically symmetric electrovacuum with a cosmological constant
• Unified model of loop quantum gravity and matter
• Graphical method in loop quantum gravity: II. The Hamiltonian constraint and inverse volume operators
• Taming Thiemann's Hamiltonian constraint in canonical loop quantum gravity: reversibility, eigenstates and graph-change analysis
• Solution of the noncanonicity puzzle in General Relativity: a new Hamiltonian formulation
• Exploring the Tomlin-Varadarajan quantum constraints in $U(1{)}^3$ loop quantum gravity: solutions and the Minkowski theorem
• Alternative $k=-1$ loop quantum cosmology
• Kinematics of arbitrary spin matter fields in loop quantum gravity
• Symmetry restriction and its application to gravity
• Critical Insight into the Cosmological Sector of Loop Quantum Gravity
• Fermion Doubling in Loop Quantum Gravity
• Introduction to supersymmetric spin networks
• An overview of canonical quantum gravity
• The probability of inflation in Loop Quantum Cosmology
• Physical Diffeomorphisms in Loop Quantum Gravity
• Thiemann transform for gravity with matter fields
• New second derivative theories of gravity for spherically symmetric spacetimes
• Quantum isotropy and the reduction of dynamics in Bianchi I
• Regularized Hamiltonians and Spinfoams
• Geometrical Quantum Time in the $U(1{)}^3$ Model of Euclidean Quantum Gravity
• Remarks on experimental bounds on quantum gravity effects on fermions
• Quantum cosmology as a lattice in a box
• Loop Quantum Vector-Tensor Gravity and Its Spherically Symmetric Model
• Quantum gravity, space-time structure, and cosmology
• Quantum gravity in the very early universe
• Fiber bundle structure in Ashtekar-Barbero-Immirzi formulation of General Relativity
• A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications
• Effective LQC model for k=+1 isotropic cosmologies from spatial discretisations
• Light Propagation on Quantum Curved Spacetime and Back reaction effects
• Dynamically implementing the $\overline{\mu }$-scheme in cosmological and spherically symmetric models in an extended phase space model
• Midisuperspace quantization: possibilities for fractional and emergent spacetime dimensions
• Computing the graph-changing dynamics of loop quantum gravity
• Quantum Gravity and the Big Bang
• Loop quantum gravity - a short review
• Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom
• On the dynamics of single-vertex states in quantum-reduced loop gravity
• The Proca-field in Loop Quantum Gravity
• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
• The ADM papers and part of their modern legacy: loop quantum gravity
• The conformal factor in the parameter-free construction of spin-gauge variables for gravity
• On anomaly freedom in spherically symmetric lattice loop quantization
• A note on conformally compactified connection dynamics tailored for anti-de Sitter space
• Spontaneous symmetry breaking in Loop Quantum Gravity
• Commuting Simplicity and Closure Constraints for 4D Spin Foam Models
• Time Asymmetry of Cosmic Background Evolution in Loop Quantum Cosmology
• Synopsis of a Unified Theory for All Forces and Matter
• Discrete canonical analysis of three dimensional gravity with cosmological constant
• Asymptotically flat boundary conditions for the $U(1{)}^3$ model for Euclidean Quantum Gravity
• Hamiltonian Theory: generalizations to higher dimensions, supersymmetry and modified gravity
• Summary of GR15 Session D1(1), Quantum General Relativity
• The relation between Geometry and Matter in classical and quantum Gravity and Cosmology
• Black-hole models in loop quantum gravity
• Quantisation ambiguities and the effective dynamics of scalar-tensor theories in loop quantum cosmology
• Hermiticity of the Volume Operators in Loop Quantum Gravity
• Singularity resolution by lattice shifts in discretised quantum mechanics