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Some components of the graviton two-point function have been recently computed in the context of loop quantum gravity, using the spinfoam Barrett-Crane vertex.
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S.Speziale “Towards the graviton from spinfoams: the 3d toy model”, JHEP 0605 (2006) 039, [arXiv:gr-qc/0512102]
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E. R. Livine, S. Speziale, “Group Integral Techniques for the Spinfoam Graviton Propagator”, JHEP
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C. Rovelli, Quantum Gravity
2004
Cited alongside, same era.
L. Modesto, C. Rovelli, “Particle scattering in loop quantum gravity”, Phys. Rev. Lett
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Cited alongside, same era.
Cited in the paper.
E. Alesci, C. Rovelli, “The complete LQG propagator: II. Asymptotics of the vertex” to appear
Cited in the paper.
M. P. Reisenberger, “A lattice worldsheet sum for 4-d Euclidean general relativity,” [arXiv:gr-qc/9711052]
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J. Engle, R. Pereira, C. Rovelli “The loop-quantum-gravity vertex-amplitude”, [arXiv:0705.2388]
Cited in the paper.
E. R. Livine and S. Speziale, “A new spinfoam vertex for quantum gravity,” [arXiv:0705.0674, gr-qc]
Cited in the paper.
S. Speziale, C. Rovelli, “A semiclassical tetrahedron”, Class.Quant.Grav
2006
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E. Livine, S. Speziale, J. Willis, “Towards the graviton from spinfoams: higher order corrections in the 3d toy model”, Phys Rev D
2007
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