Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
arXiv:gr-qc/0509039
Abstract
This bibliography attempts to give a comprehensive overview of all the literature related to what is known as the Ashtekar-Sen connection and the Rovelli-Smolin loop variables, from which the program currently known as Loop Quantum Gravity emerged. The original version was compiled by Peter Huebner in 1989, and it has been subsequently updated by Gabriela Gonzalez, Bernd Bruegmann, Monica Pierri, Troy Schilling, Christopher Beetle, Alejandro Corichi and Alberto Hauser. The criteria for inclusion in this list are the following: A paper in the classical theory is included if it deals with connection variables for gravity. If the paper is in the quantum domain, it is included when it is related directly with gravity using connection/loop variables, with mathematical aspects of connections, or when it introduces techniques that might be useful for the construction of the (loop) quantum theory of gravity. Information about additional literature, new preprints, and especially corrections are always welcome.
46 pages
References in corpus (284)
- Background Independent Quantum Gravity: A Status Report
- Nonstandard optics from quantum spacetime
- Absence of Singularity in Loop Quantum Cosmology
- Quantum Spin Dynamics (QSD)
- Black hole entropy in Loop Quantum Gravity
- Spin Foam Models for Quantum Gravity
- Quantum gravity corrections to neutrino propagation
- Quantum geometry and the Schwarzschild singularity
- Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
- Partial observables
- Loop quantum gravity and light propagation
- Black hole evaporation: A paradigm
- Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
- Fundamental Structure of Loop Quantum Gravity
- Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
- Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
- Quantum symmetry, the cosmological constant and Planck scale phenomenology
- An emergent universe from a loop
- Inflation from Quantum Geometry
- Disappearance of Black Hole Singularity in Quantum Gravity
- Spacetime as a Feynman diagram: the connection formulation
- Quantum Gravity, Torsion, Parity Violation and all that
- Gauge Field Theory Coherent States (GCS) : II. Peakedness Properties
- Physical effects of the Immirzi parameter
- 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
- so(4) Plebanski Action and Relativistic Spin Foam Model
- The Immirzi parameter in quantum general relativity
- A "general boundary" formulation for quantum mechanics and quantum gravity
- Quantum Symmetry Reduction for Diffeomorphism Invariant Theories of Connections
- The Area Operator in the Spherically Symmetric Sector of Loop Quantum Gravity
- Spherically Symmetric Quantum Geometry: States and Basic Operators
- Diffeomorphisms and spin foam models
- Deformed Special Relativity as an effective flat limit of quantum gravity
- Closed formula for the matrix elements of the volume operator in canonical quantum gravity
- SU(2) Loop Quantum Gravity seen from Covariant Theory
- Loop quantum gravity effects on inflation and the CMB
- Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction
- An invitation to loop quantum gravity
- Quantum evaporation of a naked singularity
- Gauge Field Theory Coherent States (GCS) : IV. Infinite Tensor Product and Thermodynamical Limit
- A black hole mass threshold from non-singular quantum gravitational collapse
- Loop Quantum Cosmology IV: Discrete Time Evolution
- Dynamical Initial Conditions in Quantum Cosmology
- Loop Quantum Cosmology I: Kinematics
- The Semiclassical Limit of Loop Quantum Cosmology
- New Observational Bounds to Quantum Gravity Signals
- On the Hamiltonian Constraint of Loop Quantum Cosmology
- Asymptotics of Relativistic Spin Networks
- Simplification of the Spectral Analysis of the Volume Operator in Loop Quantum Gravity
- A spin foam model without bubble divergences
- Quantum gravity and spin 1/2 particles effective dynamics
- Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
- Testing the Master Constraint Programme for Loop Quantum Gravity I. General Framework
- Homogeneous Loop Quantum Cosmology: The Role of the Spin Connection
- Observational Limits on Quantum Geometry Effects
- Spectral Analysis of the Volume Operator in Loop Quantum Gravity
- Quantum gravity in terms of topological observables
- On the regularization ambiguities in loop quantum gravity
- Spin foam model for Lorentzian General Relativity
- Loop Quantum Cosmology, Boundary Proposals, and Inflation
- Falsifiable predictions from semiclassical quantum gravity
- Relation between polymer and Fock excitations
- Quantum Black Holes: Entropy and Entanglement on the Horizon
- The projector on physical states in loop quantum gravity
- A relational solution to the problem of time in quantum mechanics and quantum gravity induces a fundamental mechanism for quantum decoherence
- Reconstructing Quantum Geometry from Quantum Information: Spin Networks as Harmonic Oscillators
- Particle scattering in loop quantum gravity
- Quantum geometry with intrinsic local causality
- On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
- Loop Quantum Cosmology: Recent Progress
- On Singularity Resolution in Quantum Gravity
- On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
- Loop Quantum Gravity and Ultra High Energy Cosmic Rays
- Loop Quantum Gravity and the Cyclic Universe
- Non-perturbative summation over 3D discrete topologies
- On choice of connection in loop quantum gravity
- Introduction to Loop Quantum Gravity and Spin Foams
- Quantum resolution of black hole singularities
- Asymptotics of 10j symbols
- Quantum Gravity and Lorentz invariance violation in the Standard Model
- Spacetime states and covariant quantum theory
- The Bianchi IX model in Loop Quantum Cosmology
- Inflationary Cosmology and Quantization Ambiguities in Semi-Classical Loop Quantum Gravity
- Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity II
- Quantum suppression of the generic chaotic behavior close to cosmological singularities
- Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity I
- Fock representations from U(1) holonomy algebras
- Cosmological Deformation of Lorentzian Spin Foam Models
- Canonical quantization of general relativity in discrete space-times
- On (Cosmological) Singularity Avoidance in Loop Quantum Gravity
- Nonsingular Black Holes and Degrees of Freedom in Quantum Gravity
- Testing the Master Constraint Programme for Loop Quantum Gravity II. Finite Dimensional Systems
- Photons from quantized electric flux representations
- Operators for quantized directions
- Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
- Semiclassical States for Constrained Systems
- A holographic formulation of quantum general relativity
- Geometrical measurements in three-dimensional quantum gravity
- Testing the Master Constraint Programme for Loop Quantum Gravity IV. Free Field Theories
- Ponzano-Regge model revisited II: Equivalence with Chern-Simons
- Observables in the Turaev-Viro and Crane-Yetter models
- Diffeomorphism covariant representations of the holonomy-flux star-algebra
- Gluing 4-simplices: a derivation of the Barrett-Crane spin foam model for Euclidean quantum gravity
- Integrability for Relativistic Spin Networks
- 3+1 spinfoam model of quantum gravity with spacelike and timelike components
- Inflation: A graceful entrance from Loop Quantum Cosmology
- Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories
- Gravitons from a loop representation of linearised gravity
- A spin foam model for pure gauge theory coupled to quantum gravity
- Loop quantum gravity and quanta of space: a primer
- Area spectrum and quasinormal modes of black holes
- The LQG -- String: Loop Quantum Gravity Quantization of String Theory I. Flat Target Space
- Background independence in a nutshell
- Minkowski vacuum in background independent quantum gravity
- Barrett-Crane spin foam model from generalized BF-type action for gravity
- Isotropic Loop Quantum Cosmology with Matter
- A dialog on quantum gravity
- A Spin Network Primer
- Loop Quantum Gravity Corrections and Cosmic Ray Decays
- On the Physical Hilbert Space of Loop Quantum Cosmology
- Consistency Conditions for Fundamentally Discrete Theories
- Hilbert space structure of covariant loop quantum gravity
- Spin foams as Feynman diagrams
- General relativity with a topological phase: an action principle
- Difficulties with Recollapsing models in Closed Isotropic Loop Quantum Cosmology
- The basis of the physical Hilbert space of lattice gauge theories
- Spin Foam Diagrammatics and Topological Invariance
- Discrete Space-Time Volume for 3-Dimensional BF Theory and Quantum Gravity
- Quasinormal modes prefer supersymmetry ?
- Physics of Deformed Special Relativity
- Black Hole Thermodynamics and Riemann Surfaces
- Consistent canonical quantization of general relativity in the space of Vassiliev knot invariants
- The Volume Operator in Spherically Symmetric Quantum Geometry
- Holographic Formulation of Quantum Supergravity
- Generalized Lattice Gauge Theory, Spin Foams and State Sum Invariants
- The Feynman propagator for spin foam quantum gravity
- Schroedinger's cat and the clock: Lessons for quantum gravity
- Inflationary Cosmology and Oscillating Universes in Loop Quantum Cosmology
- Discrete quantum gravity: a mechanism for selecting the value of fundamental constants
- Consistent discretization and loop quantum geometry
- The future of spin networks
- Spin Foam Models of Matter Coupled to Gravity
- Absence of the Kasner singularity in the effective dynamics from loop quantum cosmology
- Elements of Loop Quantum Cosmology
- Loop Quantum Gravity on Non-Compact Spaces
- The Fuzzy Sphere Star-Product and Spin Networks
- Physical Properties of Quantum Field Theory Measures
- Symmetry and entropy of black hole horizons
- Quantum Gravity induced Lorentz invariance violation in the Standard Model:hadrons
- States on timelike hypersurfaces in quantum field theory
- A Quantum Gravitational Relaxation of The Cosmological Constant
- Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism invariant context
- Positivity of Spin Foam Amplitudes
- Refined Algebraic Quantization in the oscillator representation of SL(2,R)
- An efficient algorithm for the Riemannian 10j symbols
- From 3-geometry transition amplitudes to graviton states
- Statistical geometry of random weave states
- Eleven dimensional supergravity as a constrained topological field theory
- Lorentz Invariance and the semiclassical approximation of loop quantum gravity
- Discrete quantum gravity: applications to cosmology
- Symmetric hyperbolic system in the Ashtekar formulation
- Causal sites as quantum geometry
- Gravitational Statistical Mechanics: A model
- Early Universe Dynamics in Semi-Classical Loop Quantum Cosmology
- Continuum spin foam model for 3d gravity
- Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
- Background independent quantizations: the scalar field II
- Spherically Symmetric Quantum Horizons
- Nonperturbative dynamics for abstract (p,q) string networks
- Dual Description of Supergravity MacDowell-Mansouri Theory
- Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
- Wilson loops in the light of spin networks
- Towards an Ashtekar formalism in eight dimensions
- Hyphs and the Ashtekar-Lewandowski Measure
- A group field theory for 3d quantum gravity coupled to a scalar field
- Consistent and mimetic discretizations in general relativity
- Matter-Antimatter Asymmetry Generated by Loop Quantum Gravity
- A proposal for analyzing the classical limit of kinematic loop gravity
- On alternative approaches to Lorentz violation in loop quantum gravity inspired models
- On the structure of the space of generalized connections
- Quasinormal modes, quantized black holes, and correspondence principle
- Apparent horizons, black hole entropy and loop quantum gravity
- A Note on Parity Violation and the Immirzi Parameter
- Quantum Gravity Vacuum and Invariants of Embedded Spin Networks
- Generalized Lagrangian of N = 1 supergravity and its canonical constraints with the real Ashtekar variable
- Quantum Gravity and Inflation
- The graviton vacuum as a distributional state in kinematic Loop Quantum Gravity
- A candidate for a background independent formulation of M theory
- The Early Universe in Loop Quantum Cosmology
- On the fate of Lorentz symmetry in loop quantum gravity and noncommutative spacetimes
- Feynman loops and three-dimensional quantum gravity
- Quantum gravity corrections to particle interactions
- Origin of the Immirzi Parameter
- On the perturbative expansion of a quantum field theory around a topological sector
- Interface of General Relativity, Quantum Physics and Statistical Mechanics: Some Recent Developments
- Causal Loop Quantum Gravity and Cosmological Solutions
- Isotropic Loop Quantum Cosmology with Matter II: The Lorentzian Constraint
- String quantization: Fock vs. LQG Representations
- Asymptotic Properties of Difference Equations for Isotropic Loop Quantum Cosmology
- Free vacuum for loop quantum gravity
- Making classical and quantum canonical general relativity computable through a power series expansion in the inverse cosmological constant
- Propagating spin modes in canonical quantum gravity
- Observables in 3-dimensional quantum gravity and topological invariants
- Cerenkov's Effect and Neutrino Oscillations in Loop Quantum Gravity
- Quantum Gravity with Matter via Group Field Theory
- Abelian BF-Theory and Spherically Symmetric Electromagnetism
- Extent of the Immirzi Ambiguity in Quantum General Relativity
- Coherent States for 3d Deformed Special Relativity: semi-classical points in a quantum flat spacetime
- Gauge invariance of complex general relativity
- Spin Flavor Conversion of Neutrinos in Loop Quantum Gravity
- Spectrum of quantized black hole, correspondence principle, and holographic bound
- On the counting of black hole states in loop quantum gravity
- A finite spin-foam-based theory of three and four dimensional quantum gravity
- Constructing hyperbolic systems in the Ashtekar formulation of general relativity
- Degenerate Sectors of the Ashtekar Gravity
- Self-dual gravity and self-dual Yang-Mills in the context of Macdowell-Mansouri formalism
- Loops and Knots as Topoi of Substance. Spinoza Revisited
- Errata to "Flat Spacetime Vacuum in Loop Quantum Gravity"
- Quantizing speeds with the cosmological constant
- The large cosmological constant approximation to classical and quantum gravity: model examples
- Quantum Gravitational Collapse
- Knot theory and a physical state of quantum gravity
- Topological Holography
- The Feynman propagator for quantum gravity: spin foams, proper time, orientation, causality and timeless-ordering
- Classical Geometry from a Physical State in Canonical Quantum Gravity
- Surface embedding, topology and dualization for spin networks
- A Generalization of the Kodama State for Arbitrary Values of the Immirzi Parameter
- On the Gribov Problem for Generalized Connections
- A More Sensitive Lorentzian State Sum
- Canonical formulation of N = 2 supergravity in terms of the Ashtekar variable
- Towards a loop representation of connection theories defined over a super Lie algebra
- Geometry of C-flat connections, coarse graining and the continuum limit
- Observability and Geometry in Three dimensional quantum gravity
- Bibliography of publications related to Classical and Quantum Gravity in terms of Connection and Loop Variables
- Approximating Connections in Loop Quantum Gravity
- BRST cohomology of Yang-Mills gauge fields in the presence of gravity in Ashtekar variables
- The Pauli Exclusion Principle and SU(2) vs. SO(3) in Loop Quantum Gravity
- On Non-Abelian Holonomies
- The Quantum Geometry of Supersymmetry and the Generalized Group Extension Problem
- Functorial Aspects of the Space of Generalized Connections
- Naked singularities and the Wilson loop
- Initial data for gravity coupled to scalar, electromagnetic and Yang-Mills fields
- On the Support of Physical Measures in Gauge Theories
- Large volume quantum correction in loop quantum cosmology: Graviton illusion?
- String theory in a vertex operator representation: a simple model for testing loop quantum gravity
- Comments on area spectra in Loop Quantum Gravity
- Calculation of Wilson loops in 2-dimensional Yang-Mills theories
- Cosmological "Ground State" Wave Functions in Gravity and Electromagnetism
- Angular Momentum in Loop Quantum Gravity
- Immirzi Ambiguity, Boosts and Conformal Frames for Black Holes
- Causal structure and degenerate phase boundaries
- Unified model of loop quantum gravity and matter
- Quantized black holes, correspondence principle, and holographic bound
- Mixmaster quantum cosmology in terms of physical dynamics
- Quantum Field Theory of Open Spin Networks and New Spin Foam Models
- Immirzi Ambiguity in the Kinematics of Quantum General Relativity
- Recent Conceptual Consequences of Loop Quantum Gravity. Part III: A Postscript On Time
- On the Structure of Physical Measures in Gauge Theories
- Relating Spin Foams and Canonical Quantum Gravity: A Discrete Step Evolution Formulation of Spin Foams
- New Operators for Spin Net Gravity: Definitions and Consequences
- Metric Versus Ashtekar Variables in Two Killing Field Reduced Gravity
- Counting the Apparent Horizon
- Equivalence between various versions of the self-dual action of the Ashtekar formalism
- Topological Symmetries of Twisted N=2 Chiral Supergravity in Ashtekar Formalism
- Ashtekar Formulation with Temporal Foliations
- Remarks on the black hole entropy and Hawking spectrum in Loop Quantum Gravity
- The expectation value of the metric operator with respect to Gaussian weave state in loop quantum gravity
- Recent Conceptual Consequences of Loop Quantum Gravity. Part I: Foundational Aspects
- A numerical study of spectral properties of the area operator in loop quantum gravity
- Induced Topology on the Hoop Group
- Mathematical Problems of Quantum Gravity
- Exact Solution of the Schwinger Model with Compact U(1)
- Flat space modified particle dynamics induced by Loop Quantum Gravity
- Ashtekar Variables and Matter Coupling
- New Hints from General Relativity
- Structure of Extended Loop Wave Function in Quantum Gravity and Operator Formalism
- Some properties of generalized connections in quantum gravity
- A Note in Cosmology and Loop Quantum Gravity
- Spin Foam Models of Gravity and BF Theory as evolution of Spin Networks
- Diffeomorphism invariant SU(N) gauge theories
- Quantum Gravity and the Big Bang
- Is Loop Quantum Gravity a QFT ?