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In the first article of this series, we pointed out a difficulty in the attempt to derive the low-energy behavior of the graviton two-point function, from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex amplitude.
1915
Earlier work this paper cites.
T. Regge, “General relativity without coordinates”, Nuovo Cim. 19 (1961) 558
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1971
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C. Rovelli, L. Smolin, “Knot theory and quantum gravity” Phys. Rev. Lett 61 (1988) 1155-1158. C. Rovelli, L. Smolin, “Loop space representation for quantum general relativity”, Nucl. Phys. B331 (1990) 80-152.A. Ashtekar, C. Rovelli, L. Smolin, “Weaving a classical geometry with quantum threads”, Phys. Rev. Lett 69, 237 (1992). J. Iwasaki, C. Rovelli, “Gravitons as embroidery on the weave,” Int. J. Mod. Phys. D1ññ (1993) 533. C. Rovelli, L. Smolin, “Discreteness of Area and Volume in Quantum Gravity”, Nucl. Phys. B442 (1995) 593-619; Nucl. Phys. B456, 734 (1995).C. Rovelli, Helv. Phys. Acta 69, 582 (1996) gr-qc/9608032
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A. Barbieri, “Quantum tetrahedra and simplicial spin networks”, Nucl. Phys. B518 (1998) 714-728. J. C. Baez, J. W. Barrett, “The quantum tetrahedron in 3 and 4 dimensions”, Adv. Theor. Math. Phys. 3 (1999) 815–850. A. Ashtekar, A. Corichi, J. A. Zapata, “Quantum theory of geometry. III: Non-commutativity of Riemannian structures”, Class. Quant. Grav. 15 (1998) 2955–2972. S. A. Major, “Operators for quantized directions”, Class. Quant. Grav. 16 (1999) 3859–3877
1999
Earlier work this paper cites.
J. W. Barrett, L. Crane, “Relativistic spin networks and quantum gravity”, J. Math. Phys. 39 (1998) 3296–3302. R. De Pietri, L. Freidel, K. Krasnov, C. Rovelli, “Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space”, Nucl. Phys. B 574 (2000) 785. hep-th/9907154. D. Oriti, R. M. Williams, “Gluing 4-simplices: a derivation of the Barrett-Crane spinfoam model for Euclidean quantum gravity”, Phys. Rev. D 63(2001) 024022. A. Perez, C. Rovelli, “Finite SO(4)-state sum model of Euclidean GR”, 9th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 9), Rome, Italy, 2-9 July 2000. A. Perez, C. Rovelli, “A spin foam model without bubble divergences”, Nucl. Phys. B 599 (2001) 255. A. Perez, C. Rovelli, “Spin foam model for Lorentzian general relativity”, Phys. Rev. D 63 (2001) 041501. L. Crane, A. Perez, C. Rovelli, “A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity”, arXiv:gr-qc/0104057
2001
Earlier work this paper cites.
2001
Earlier work this paper cites.
T. Thiemann, “Modern canonical quantum general relativity”, (Cambridge University Press, Cambridge, UK, 2007). A. Ashtekar, J. Lewandowski, “Background independent quantum gravity: A status report”, Class. Quant. Grav. 21 (2004) R53. A. Perez, “Spin foam models for quantum gravity”, Class. Quant. Grav. 20 (2003) R43,
2003
Earlier work this paper cites.
J. W. Barrett, R. M. Williams, “The asymptotics of an amplitude for the 4-simplex”, Adv. Theor. Math. Phys. 3 (1999) 209–215. J. C. Baez, J. D. Christensen, G. Egan, “Asymptotics of 10j symbols”, Class. Quant. Grav. 19 (2002) 6489. J. W. Barrett, C. M. Steele, “Asymptotics of relativistic spin networks”, Class. Quant. Grav. 20 (2003) 1341–1362. L. Freidel, D. Louapre, “Asymptotics of 6j and 10j symbols”, Class. Quant. Grav. 20 (2003) 1267–1294
2003
Cited alongside, same era.
C. Rovelli, Quantum Gravity, (Cambridge University Press, Cambridge, 2004)
2004
Cited alongside, same era.
L. Modesto, C. Rovelli, “Particle scattering in loop quantum gravity”, Phys. Rev. Lett. 95 (2005), 191301
2005
Cited alongside, same era.
R. DePietri, L. Freidel, K Krasnov, C. Rovelli: “Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space”, Nucl Phys B574 (2000) 785-806 L. Freidel, “Group Field Theory: an overview”; Int Journ Theor Phys 44 (2005) 1769-1783 D. Oriti, “The group field theory approach to quantum gravity,” arXiv:gr-qc/0607032
E. Alesci, C. Rovelli, “The complete LQG graviton propagator: I. Difficulties with the Barrett-Crane vertex”, Phys.Rev.D76:104012,2007, arXiv:07080883
2007
Later among the works it cites.
2007
Later among the works it cites.
2008
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J. W. Barrett, W. Fairbairn “Asymptotic analysis of the new vertex”, talk given at the Marseille relativity lunch , reporting joint work with Richard Dowdall, Henrique Gomes and Frank Hellmann, november 19th, 2008
2008
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2005
Cited alongside, same era.
C. Rovelli, “Graviton propagator from background–independent quantum gravity”, Phys. Rev. Lett. 97 (2006), 151301
2006
Cited alongside, same era.
E. Bianchi, L. Modesto, C. Rovelli, S. Speziale, “Graviton propagator in loop quantum gravity”, Class. Quant. Grav. 23 (2006), 6989-7028
2006
Cited alongside, same era.
C. Rovelli S. Speziale, “A Semiclassical tetrahedron”, Class. Quant. Grav. 23 (2006) 5861-5870
2006
Cited alongside, same era.
R Pereira, “Lorentzian LQG vertex amplitude”, arXiv:0710.5043
Cited in the paper.
Cited in the paper.
E. Livine, S. Speziale, “A New spinfoam vertex for quantum gravity”, arXiv:0705.0674
Cited in the paper.
E. Bianchi, to appear
Cited in the paper.
Cited in the paper.
2008
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2008
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2051
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