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The amplitude for the 4-simplex in a spin foam model for quantum gravity is defined using a graphical calculus for the unitary representations of the Lorentz group.
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2002
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Cambridge University Press, 2004
C. Rovelli, Quantum Gravity · 2004
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W. J. Cherrington, “Finiteness and dual variables for Lorentzian spin foam models,” Class. Quant. Grav. 23
2006
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J. D. Christensen, “Finiteness of Lorentzian 10j symbols and partition functions,” Class. Quant. Grav. 23
2006
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E. Alesci and C. Rovelli, “The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex,” Phys. Rev
2007
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J. Engle, R. Pereira, and C. Rovelli, “The loop-quantum-gravity vertex-amplitude,” Physical Review Letters
2007
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E. R. Livine and D. Oriti, “Coupling of spacetime atoms and spin foam renormalisation from group field theory,” JHEP
2007
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2008
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F. Conrady and L. Freidel, “On the semiclassical limit of 4d spin foam models,” Phys. Rev
2008
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S. Alexandrov, “Spin foam model from canonical quantization,” Phys. Rev
2008
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J. W. Barrett, R. J. Dowdall, W. J. Fairbairn, H. Gomes, and F. Hellmann, “Asymptotic analysis of the EPRL four-simplex amplitude,” J. Math. Phys
2009
Closest in time.
E. Bianchi, E. Magliaro, and C. Perini, “LQG propagator from the new spin foams,” Nucl. Phys
2009
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J. W. Barrett and I. Naish-Guzman, “The Ponzano-Regge model,” Class. Quant. Grav
2009
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J. Engle and R. Pereira, “Regularization and finiteness of the Lorentzian LQG vertices,” Phys. Rev
2009
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J. W. Barrett, W. J. Fairbairn, and F. Hellmann, “Quantum gravity asymptotics from the su(2) 15j symbol,” International Journal of Modern Physics A
2010
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R. J. Dowdall, H. Gomes, and F. Hellmann, “Asymptotic analysis of the Ponzano-Regge model for handlebodies,” J. Phys
2027
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