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Starting from Plebanski formulation of gravity as a constrained BF theory we propose a new spin foam model for 4d Riemannian quantum gravity that generalises the well-known Barrett-Crane model and resolves the inherent to it ultra-locality problem.
1915
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R. De Pietri and L. Freidel, “so(4) Plebanski Action and Relativistic Spin Foam Model,” Class. Quant. Grav. 16
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L. Freidel and K. Krasnov, “Spin foam models and the classical action principle,” Adv. Theor. Math. Phys. 2
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L. Freidel, K. Krasnov and R. Puzio, “BF description of higher-dimensional gravity theories,” Adv. Theor. Math. Phys. 3
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J. C. Baez and J. W. Barrett, “The quantum tetrahedron in 3 and 4 dimensions,” Adv. Theor. Math. Phys. 3
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S. A. Pol’shin, “Massless fields over R**1 x H(3) space-time and coherent states for the Lorentz group,” Mod. Phys. Lett. A 14
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J. W. Barrett and C. M. Steele, “Asymptotics of relativistic spin networks,” Class. Quant. Grav. 20
2003
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S. Alexandrov and E. R. Livine, “SU(2) loop quantum gravity seen from covariant theory,” Phys. Rev. D 67
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E. Buffenoir, M. Henneaux, K. Noui and Ph. Roche, “Hamiltonian analysis of Plebanski theory,” Class. Quant. Grav. 21
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A. Ashtekar and J. Lewandowski, “Background independent quantum gravity: A status report,” Class. Quant. Grav. 21
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E. R. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” Phys. Rev. D76
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J. W. Barrett and L. Crane, “A Lorentzian signature model for quantum general relativity,” Class. Quant. Grav. 17
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,” Nucl. Phys. B 574
2000
Cited alongside, same era.
A. Perez and C. Rovelli, “3+1 spinfoam model of quantum gravity with spacelike and timelike components,” Phys. Rev. D 64
2001
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J. C. Baez, J. D. Christensen and G. Egan, “Asymptotics of 10j symbols,” Class. Quant. Grav. 19
2002
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R. E. Livine and D. Oriti, “Barrett-Crane spin foam model from generalized BF-type action for gravity,” Phys. Rev. D 65
2002
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L. Freidel and D. Louapre, “Asymptotics of 6j and 10j symbols,” Class. Quant. Grav. 20
2003
Cited alongside, same era.
M. P. Reisenberger, “World sheet formulations of gauge theories and gravity,” arXiv:gr-qc/9412035
Cited in the paper.
2007
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2007
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A. Baratin and L. Freidel, “Hidden quantum gravity in 3d Feynman diagrams,” Class. Quant. Grav. 24
2007
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2007
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