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This is my Th\`ese d'Habilitation (HDR) on the topic of spinfoam models for quantum gravity, which I presented in l'Ecole Normale Sup\'erieure de Lyon on december 16 2010.
1915
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C. Rovelli, Simple model for quantum general relativity from loop quantum gravity
1939
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G. Ponzano and T. Regge, Semiclassical limit of Racah coefficients
1968
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1971
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H. Ooguri, Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge
1992
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D. Boulatov, A Model of Three-Dimensional Lattice Gravity
1992
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H. Ooguri, Topological Lattice Models in Four Dimensions
1992
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C. Rovelli, The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis
1993
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A. Ashtekar and J. Lewandowski, Projective Techniques and Functional Integration
1995
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S. Holst, Barbero’s Hamiltonian derived from a generalized Hilbert-Palatini action
1996
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M. Reisenberger and C. Rovelli, “Sum over Surfaces” form of Loop Quantum Gravity
1997
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M.P. Reisenberger, A left-handed simplicial action for Euclidean general relativity
1997
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J.C. Baez, Spin Foam Models
1998
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J.W. Barrett and L. Crane, Relativistic spin networks and quantum gravity
1998
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C. Rovelli and T. Thiemann, The Immirzi parameter in quantum general relativity
1998
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T. Thiemann, Quantum Spin Dynamics (QSD)
1998
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K. Krasnov, The Area Spectrum in Quantum Gravity
1998
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A. Barbieri, Quantum tetrahedra and simplicial spin networks
1998
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R. De Pietri and L.Freidel, so(4) Plebanski Action and Relativistic Spin Foam Model
1999
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L. Freidel and K. Krasnov, Spin Foam Models and the Classical Action Principle
1999
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J.C. Baez and J.W. Barrett, The Quantum Tetrahedron in 3 and 4 Dimensions
1999
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L. Freidel, K. Krasnov and R. Puzio, BF Description of Higher-Dimensional Gravity Theories
1999
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C. Rovelli, Notes for a brief history of quantum gravity
2000
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J.W. Barrett and L. Crane, A Lorentzian Signature Model for Quantum General Relativity
2000
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R. De Pietri, L. Freidel, K. Krasnov and C. Rovelli, Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
2000
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M.P. Reisenberger and C. Rovelli, Spacetime as a Feynman diagram: the connection formulation
2001
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N. Barros e Sa, Hamiltonian analysis of General relativity with the Immirzi parameter
2001
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R. Capovilla, M. Montesinos, V.A. Prieto and E. Rojas, BF gravity and the Immirzi parameter
2001
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A. Perez and C. Rovelli, Spin foam model for Lorentzian General Relativity
2001
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A. Perez and C. Rovelli, A spin foam model without bubble divergences
2001
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E.R. Livine, Projected Spin Networks for Lorentz connection: Linking Spin Foams and Loop Gravity
2002
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E.R. Livine and D. Oriti, Barrett-Crane spin foam model from generalized BF-type action for gravity
2002
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L. Freidel and E.R. Livine, Spin Networks for Non-Compact Groups
2003
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E.R. Livine, A. Perez and C. Rovelli, 2d manifold-independent spinfoam theory
2003
Cited alongside, same era.
J.W. Barrett and R. Williams, The asymptotics of an amplitude for the 4-simplex
2003
Cited alongside, same era.
C. Rovelli, Quantum Gravity
2004
Cited alongside, same era.
J. Lewandowski, A. Okolow, H. Sahlmann and T. Thiemann, Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
2004
Cited alongside, same era.
W. Fairbairn and C. Rovelli, Separable Hilbert space in Loop Quantum Gravity
2004
Cited alongside, same era.
L. Freidel and D. Louapre, Ponzano-Regge model revisited I: Gauge fixing, observables and interacting spinning particles
2004
Cited alongside, same era.
F. Conrady and L. Freidel, On the semiclassical limit of 4d spin foam models
2008
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L. Freidel and S. Majid, Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity
2008
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2008
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V. Bonzom and E.R. Livine, A Lagrangian approach to the Barrett-Crane spin foam model
2009
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M. Bojowald, Loop Quantum Cosmology
2009
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L. Freidel, Group Field Theory: An overview
2005
Cited alongside, same era.
A. Perez and C. Rovelli, Physical effects of the Immirzi parameter
2006
Cited alongside, same era.
K. Giesel and T. Thiemann, Consistency Check on Volume and Triad Operator Quantisation in Loop Quantum Gravity I
2006
Cited alongside, same era.
T. Thiemann, The Phoenix Project: Master Constraint Programme for Loop Quantum Gravity
2006
Cited alongside, same era.
C. Rovelli, Graviton propagator from background-independent quantum gravity
2006
Cited alongside, same era.
E. Bianchi, L. Modesto, C. Rovelli and S. Speziale, Graviton propagator in loop quantum gravity
2006
Cited alongside, same era.
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S. Alexandrov and D. Vassilevich, Area spectrum in Lorentz covariant loop gravity
2009
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L. Crane, A New Approach to the Geometrization of Matter
2009
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E.R. Livine and J.P. Ryan, A Note on B-observables in Ponzano-Regge 3d Quantum Gravity
2009
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E.R. Livine, Matrix Models as Non-commutative Field Theories on ℝ 3 \mathbb{R}^{3}
2009
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D. Louapre and L. Freidel, Non-perturbative summation over 3D discrete topologies
2009
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2009
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E. Alesci and C. Rovelli, LQG propagator: III. The new vertex
2009
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2009
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E. Bianchi, E. Magliaro and C. Perini, LQG propagator from the new spin foams
2009
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R. Gurau, The Ponzano-Regge asymptotic of the 6j symbol: an elementary proof
2009
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2009
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E. Joung, J. Mourad and K. Noui, Three Dimensional Quantum Geometry and Deformed Poincaré Symmetry
2009
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E. Bianchi, E. Magliaroa and C. Perini, Coherent spin-networks
2010
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L. Freidel, K. Krasnov and E.R. Livine, Holomorphic Factorization for a Quantum Tetrahedron
2010
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2010
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M. Dupuis and E.R. Livine, Lifting SU(2) Spin Networks to Projected Spin Networks
2010
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S. Gielen and D. Oriti, Classical general relativity as BF-Plebanski theory with linear constraints
2010
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2010
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M. Dupuis and E.R. Livine, The 6j-symbol: Recursion, Correlations and Asymptotics
2010
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V. Bonzom, E.R. Livine and S. Speziale, Recurrence relations for spin foam vertices
2010
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F. Girelli, E.R. Livine and D. Oriti, 4d Deformed Special Relativity from Group Field Theories
2010
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E. Bianchi and L.Modesto, The perturbative Regge-calculus regime of Loop Quantum Gravity
2051
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M. Reisenberger, On relativistic spin network vertices
2054
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A. Baratin and L. Freidel, Hidden Quantum Gravity in 3d Feynman diagrams
2060
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L. Freidel and E.R. Livine, Ponzano-Regge model revisited III: Feynman diagrams and Effective field theory
2062
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T. Thiemann, Complexifier Coherent States for Quantum General Relativity
2063
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