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We consider an exact expression for the 6j-symbol for the isosceles tetrahedron, involving integrals over SU(2), and use it to write the two-point function of 3d gravity on a single tetrahedron as a group integral.
M. Rocek and R.M. Williams, Quantum Regge Calculus
2000
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L. Freidel and D. Louapre, Asymptotics of 6j and 10j symbols
2003
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L. Modesto and C. Rovelli, Particle scattering in loop quantum gravity
2005
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S. Speziale, Towards the graviton from spinfoams: the 3d toy model
2006
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E. Bianchi, L. Modesto, C. Rovelli and S. Speziale, Graviton propagator in loop quantum gravity
2006
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C. Rovelli, Graviton propagator from background-independent quantum gravity
2006
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E.R. Livine and S. Speziale, Group Integral Techniques for the Spinfoam Graviton Propagator
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E.R. Livine, S. Speziale and J.L. Willis, Towards the graviton from spinfoams: higher order corrections in the 3d toy model
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A. Ashtekar, C. Rovelli and L. Smolin, Weaving a classical geometry with quantum threads
2007
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B. Dittrich, L. Freidel and S. Speziale, Linearized dynamics from the 4-simplex Regge action
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B. Dittrich and S. Speziale, Area-angle variables for general relativity
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E.R. Livine and S. Speziale, Physical boundary state for the quantum tetrahedron
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E.R. Livine, C. Skordis and S. Speziale, The 3d spinfoam graviton: boundary states and two-point functions for non-trivial triangulations
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E. Alesci and C. Rovelli, The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
2007
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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
2008
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E. Bianchi and L. Modesto, The perturbative Regge-calculus regime of Loop Quantum Gravity
2051
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