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We revise imposition of various constraints in spin foam models of 4-dimensional general relativity.
1915
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J.W. Barrett and L. Crane, “Relativistic spin networks and quantum gravity,” J. Math. Phys. 39
1998
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R. De Pietri and L. Freidel, “so(4) Plebanski Action and Relativistic Spin Foam Model,” Class. Quant. Grav. 16
1999
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S. Alexandrov, “SO(4,C)-covariant Ashtekar–Barbero gravity and the Immirzi parameter,” Class. Quantum Grav. 17
2000
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E. Buffenoir, M. Henneaux, K. Noui and Ph. Roche, “Hamiltonian analysis of Plebanski theory,” Class. Quant. Grav. 21
2004
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K. Noui and A. Perez, “Three dimensional loop quantum gravity: Physical scalar product and spin foam models,” Class. Quant. Grav. 22
2005
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S. Alexandrov and Z. Kadar, “Timelike surfaces in Lorentz covariant loop gravity and spin foam models,” Class. Quant. Grav. 22
2005
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S. Alexandrov, “Reality conditions for Ashtekar gravity from Lorentz-covariant formulation,” Class. Quant. Grav. 23
2006
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E. R. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” Phys. Rev. D 76
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2001
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S. Alexandrov and D. Vassilevich, “Area spectrum in Lorentz covariant loop gravity,” Phys. Rev. D 64
2001
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S. Alexandrov, “On choice of connection in loop quantum gravity,” Phys. Rev. D 65
2002
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E.R. Livine, “Projected Spin Networks for Lorentz connection: Linking Spin Foams and Loop Gravity,” Class. Quantum Grav. 19
2002
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A. Perez, “Spin foam models for quantum gravity,” 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
2003
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Cited in the paper.
2007
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E. R. Livine and D. Oriti, “Coupling of spacetime atoms and spin foam renormalisation from group field theory,” JHEP 0702
2007
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S. Alexandrov, “Spin foam model from canonical quantization,” Phys. Rev. D 77
2008
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2008
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