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We provide the Barrett-Crane spin foam model for quantum gravity with a discrete action principle, consisting in the usual BF term with discretized simplicity constraints which in the continuum turn topological BF theory into gravity.
1915
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G.Ponzano and T.Regge, Semiclassical limit of Racah coefficients
1968
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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 quantum gravity model in the loop representation basis
1993
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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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J.W. Barrett and L. Crane, Relativistic Spin Networks and 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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J.C. Baez and J.W. Barrett, The quantum tetrahedron in three-dimensions and four-dimensions
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, An introduction to spin foam models of quantum gravity and BF theory
2000
Cited alongside, same era.
R. De Pietri, L. Freidel, K. Krasnov, and C. Rovelli, Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space
2000
Cited alongside, same era.
A. Perez and C. Rovelli, A spin foam model without bubble divergences
2001
E. Alesci and C. Rovelli, The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
2006
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E.R. Livine and S. Speziale, Group Integral Techniques for the Spinfoam Graviton Propagator
2006
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J. Engle, R. Pereira and C. Rovelli, The loop-quantum-gravity vertex-amplitude
2007
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E.R. Livine and S. Speziale, A new spinfoam vertex for quantum gravity
2007
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S. Alexandrov, Spin foam model from canonical quantization
2008
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D. Oriti, Boundary terms in the Barrett-Crane spin foam model and consistent gluing
2002
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K. Noui and A. Perez, Three dimensional loop quantum gravity: Physical scalar product and spin foam models
2005
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M. Reisenberger, Worldsheet formulations of gauge theories and gravity
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L. Freidel and K. Krasnov, A New Spin Foam Model for 4d Gravity
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R. Pereira, Lorentzian LQG vertex amplitude
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J. Engle, E. Livine, R. Pereira and C. Rovelli, LQG vertex with finite Immirzi parameter
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