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The aim of this dissertation is to review `Loop Quantum Gravity', explaining the main structure of the theory and indicating its main open issues.
Quantification of gravitational waves
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Linear transformations in hilbert space iii. operational methods and group theory
Marshall H Stone · 1930
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Erweiterung des unbestimmtheitsprinzips für die relativistische quantentheorie
Lev Landau and Rudolf Peierls · 1931
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Die eindeutigkeit der schrödingerschen operatoren
J v Neumann · 1931
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Det kongelige danske videnskabernes selskab
Niels Bohr and L Rosenfeld · 1933
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Quantentheorie schwacher gravitationsfelder
Matvei Petrovich Bronstein · 1936
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Consistency of the canonical reduction of general relativity
R. Arnowitt, S. Deser, and C. W. Misner · 1960
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General relativity without coordinates
Tullio Regge · 1961
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Quantum theory of gravity. i. the canonical theory
Bryce S DeWitt · 1967
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Superspace and the nature of quantum geometrodynamics
John A Wheeler · 1969
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Domain of dependence
Robert Geroch · 1970
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Black hole explosions?
S. W. Hawking · 1974
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Particle Creation by Black Holes
S. W. Hawking · 1975
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Geometrodynamics regained
Sergio A Hojman, Karel Kuchař, and Claudio Teitelboim · 1976
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Notes on black-hole evaporation
W. G. Unruh · 1976
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Quantum gravity at two loops
Marc H Goroff and Augusto Sagnotti · 1985
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The ultraviolet behavior of einstein gravity
Marc H Goroff and Augusto Sagnotti · 1986
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Recent developments in non-perturbative quantum gravity
Lee Smolin · 1992
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Two-loop quantum gravity
Anton EM van de Ven · 1992
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Discreteness of area and volume in quantum gravity
Carlo Rovelli and Lee Smolin · 1995
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Barbero’s hamiltonian derived from a generalized hilbert-palatini action
Sören Holst · 1996
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Anomaly-free formulation of non-perturbative, four-dimensional lorentzian quantum gravity
Thomas Thiemann · 1996
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Quantum theory of geometry: I. area operators
Abhay Ashtekar and Jerzy Lewandowski · 1997
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Quantum theory of geometry ii: Volume operators
Abhay Ashtekar and Jerzy Lewandowski · 1997
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’Sum over surfaces’ form of loop quantum gravity
Michael P Reisenberger and Carlo Rovelli · 1997
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A length operator for canonical quantum gravity
Thomas Thiemann · 1998
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Quantum spin dynamics (qsd)
Thomas Thiemann · 1998
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Quantum spin dynamics (qsd): Ii. the kernel of the wheeler-dewitt constraint operator
Thomas Thiemann · 1998
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Quantum spin dynamics (qsd): Iii. quantum constraint algebra and physical scalar product in quantum general relativity
Thomas Thiemann · 1998
Cited alongside, same era.
Quantum spin dynamics (qsd): Iv. euclidean quantum gravity as a model to test lorentzian quantum gravity
Thomas Thiemann · 1998
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Quantum spin dynamics (qsd): V. quantum gravity as the natural regulator of the hamiltonian constraint of matter quantum field theories
Thomas Thiemann · 1998
Cited alongside, same era.
Quantum spin dynamics (qsd): Vi. quantum poincaré algebra and a quantum positivity of energy theorem for canonical quantum gravity
Algebraic quantum gravity (aqg): Ii. semiclassical analysis
Kristina Giesel and Thomas Thiemann · 2007
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Algebraic quantum gravity (aqg): Iii. semiclassical perturbation theory
Kristina Giesel and Thomas Thiemann · 2007
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Modern canonical quantum general relativity
Thomas Thiemann · 2008
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Properties of the volume operator in loop quantum gravity: I. results
Johannes Brunnemann and David Rideout · 2008
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Properties of the volume operator in loop quantum gravity: Ii. detailed presentation
Johannes Brunnemann and David Rideout · 2008
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Flipped spinfoam vertex and loop gravity
Jonathan Engle, Roberto Pereira, and Carlo Rovelli · 2008
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Thomas Thiemann · 1998
Cited alongside, same era.
Projector on physical states in loop quantum gravity
Carlo Rovelli · 1999
Cited alongside, same era.
Discrete structures in gravity
Tullio Regge and Ruth M Williams · 2000
Cited alongside, same era.
A generalized hamiltonian constraint operator in loop quantum gravity and its simplest euclidean matrix elements
Marcus Gaul and Carlo Rovelli · 2001
Cited alongside, same era.
Introduction to modern canonical quantum general relativity
Thomas Thiemann · 2001
Cited alongside, same era.
Introduction to loop quantum gravity and spin foams
Alejandro Perez · 2004
Cited alongside, same era.
Background independent quantum gravity: A Status report
Abhay Ashtekar and Jerzy Lewandowski · 2004
Cited alongside, same era.
A New Spin Foam Model for 4d Gravity
Laurent Freidel and Kirill Krasnov · 2008
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Lorentzian loop quantum gravity vertex amplitude
Roberto Pereira · 2008
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LQG vertex with finite Immirzi parameter
Jonathan Engle, Etera Livine, Roberto Pereira, and Carlo Rovelli · 2008
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Representations of the weyl algebra in quantum geometry
Christian Fleischhack · 2009
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The length operator in loop quantum gravity
Eugenio Bianchi · 2009
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Oriented matroids—combinatorial structures underlying loop quantum gravity
Johannes Brunnemann and David Rideout · 2010
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New length operator for loop quantum gravity
Yongge Ma, Chopin Soo, and Jinsong Yang · 2010
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P. a. m. dirac and the discovery of quantum mechanics
Kurt Gottfried · 2011
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From Classical To Quantum Gravity: Introduction to Loop Quantum Gravity
Kristina Giesel and Hanno Sahlmann · 2011
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4-dimensional Spin-foam Model with Quantum Lorentz Group
Muxin Han · 2011
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Cosmological Constant in LQG Vertex Amplitude
Muxin Han · 2011
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From classical to quantum gravity: Introduction to loop quantum gravity
Kristina Giesel and Hanno Sahlmann · 2012
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Quantum deformation of two four-dimensional spin foam models
Winston J. Fairbairn and Catherine Meusburger · 2012
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Entropy of non-extremal black holes from loop gravity
Eugenio Bianchi · 2012
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Black hole entropy and isolated horizons thermodynamics
Amit Ghosh and Alejandro Perez · 2012
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Covariant Loop Quantum Gravity
Carlo Rovelli and Francesca Vidotto · 2014
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Planck stars
Carlo Rovelli and Francesca Vidotto · 2014
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SL(2,C) Chern–Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: Semiclassical geometry
Hal M. Haggard, Muxin Han, Wojciech Kamiński, and Aldo Riello · 2015
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Loop Quantum Gravity, the first 30 years
Jorge Pullin and Abby Ashtekar, editors · 2017
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