A new spin foam model for 4D gravity

Classical and Quantum Gravity

Volumn 25, Issue 12, 2008, Pages

  Freidel, Laurent ^a   Krasnov, Kirill ^b  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46649118636     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/25/12/125018     Document Type: Article

References (38)

1. Ponzano G and Regge T 1968 Spectroscopy and Group Theoretical Methods in Physics ed F Block (Amsterdam: North-Holland)
2. Reisenberger M P 1994 World sheet formulations of gauge theories and gravity Preprint gr-qc/9412035
3. Reisenberger M P and Rovelli C 1997 'Sum over surfaces' form of loop quantum gravity Phys. Rev. D 56 3490 (Preprint gr-qc/9612035)
4. Barbieri A 1998 Quantum tetrahedra and simplicial spin networks Nucl. Phys. B 518 714 (Preprint gr-qc/9707010)
5. Barrett J W and Crane L 1998 Relativistic spin networks and quantum gravity J. Math. Phys. 39 3296 (Preprint gr-qc/9709028)
6. Reisenberger M P 1998 Classical Euclidean general relativity from 'left-handed area = right-handed area' Preprint gr-qc/9804061
7. De Pietri R and Freidel L 1999 So(4) Plebanski action and relativistic spin foam model Class. Quantum Grav. 16 2187 (Preprint gr-qc/9804071)
8. Freidel L and Krasnov K 1999 Spin foam models and the classical action principle Adv. Theor. Math. Phys. 2 1183 (Preprint hep-th/9807092)
9. Freidel L, Krasnov K and Puzio R 1999 BF description of higher-dimensional gravity theories Adv. Theor. Math. Phys. 3 1289 (Preprint hep-th/9901069)
10. Barrett J W and Crane L 2000 A Lorentzian signature model for quantum general relativity Class. Quantum Grav. 17 3101 (Preprint gr-qc/9904025)
11. De Pietri R, Freidel L, Krasnov K and Rovelli C 2000 Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space Nucl. Phys. B 574 785 (Preprint hep-th/9907154)
12. Boulatov D V 1992 A model of three-dimensional lattice gravity Mod. Phys. Lett. A 7 1629 (Preprint hep-th/9202074)
13. Freidel L 2005 Group field theory: an overview Int. J. Theor. Phys. 44 1769 (Preprint hep-th/0505016)
14. Baez J C, Christensen J D and Egan G 2002 Asymptotics of 10j symbols Class. Quantum Grav. 19 6489 (Preprint gr-qc/0208010)
15. Freidel L and Louapre D 2003 Asymptotics of 6j and 10j symbols Class. Quantum Grav. 20 1267 (Preprint hep-th/0209134)
16. Barrett J W and Steele C M 2003 Asymptotics of relativistic spin networks Class. Quantum Grav. 20 1341 (Preprint gr-qc/0209023)
17. Livine E R and Speziale S 2007 A new spinfoam vertex for quantum gravity Phys. Rev. D 76 084028 (Preprint 0705.0674)
18. Engle J, Pereira R and Rovelli C 2007 The loop quantum gravity vertex amplitude Phys. Rev. Lett. 99 161301 (Preprint 0705.2388)
19. Alexandrov S 2008 Spin foam model from canonical quantization Phys. Rev. D 77 024009 (Preprint 0705.3892)
20. Engle J, Pereira R and Rovelli C 2007 Flipped spinfoam vertex and loop gravity Preprint 0708.1236
21. Baez J C and Barrett J W 1999 The quantum tetrahedron in 3 and 4 dimensions Adv. Theor. Math. Phys. 3 815 (Preprint gr-qc/9903060)
22. Livine E R and Speziale S 2007 Consistently solving the simplicity constraints for spinfoam quantum gravity Preprint 0708.1915
23. Engle J, Livine E, Pereira R and Rovelli C 2007 LQG vertex with finite Immirzi parameter Preprint 0711.0146
24. Plebanski J F 1977 On the separation of Einsteinian substructures J. Math. Phys. 12 2511
25. Capovilla R, Jacobson T and Dell J 1991 A pure spin connection formulation of gravity Class. Quantum Grav. 8 59
26. Buffenoir E, Henneaux M, Noui K and Roche Ph 2004 Hamiltonian analysis of Plebanski theory Class. Quantum Grav. 21 5203 (Preprint gr-qc/0404041)
27. Alexandrov S 2008 Simplicity and closure constraints in spin foam models of gravity Preprint 0802.3389
28. Ooguri H 1992 Topological lattice models in four-dimensions Mod. Phys. Lett. A 7 2799 (Preprint hep-th/9205090)
29. Ashtekar A and Lewandowski J 2004 Background independent quantum gravity: A status report Class. Quantum Grav. 21 R53 (Preprint gr-qc/0404018)
30. Holst S 1996 Barbero's Hamiltonian derived from a generalized Hilbert-Palatini action Phys. Rev. D 53 5966 (Preprint gr-qc/9511026)
31. Livine R E and Oriti D 2002 Barrett-Crane spin foam model from generalized BF-type action for gravity Phys. Rev. D 65 044025 (Preprint gr-qc/0104043)
32. Alexandrov S and Livine E R 2003 SU(2) loop quantum gravity seen from covariant theory Phys. Rev. D 67 044009 (Preprint gr-qc/0209105)
33. Baratin A and Freidel L 2007 Hidden quantum gravity in 3d Feynman diagrams Class. Quantum Grav. 24 1993 (Preprint gr-qc/0604016)
34. Gelfand I M, Graev M I and Vilenkin N Ya 1966 Generalized functions Integral Geometry and Representation Theory vol 5 (New York: Academic)
35. Perelomov A 1986 Generalized Coherent States and Their Applications (Berlin: Springer)
36. 3 space-time and coherent states for the Lorentz group Mod. Phys. Lett. A 14 2119 (Preprint hep-th/9904108)
37. Perez A and Rovelli C 2001 3+1 spinfoam model of quantum gravity with spacelike and timelike components Phys. Rev. D 64 064002 (Preprint gr-qc/0011037)
38. Alesci E and Rovelli C 2007 The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex Phys. Rev. D 76 104012 (Preprint 0708.0883)