Spin-foam models and the physical scalar product

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 78, Issue 10, 2008, Pages

  Alesci, Emanuele ^a,b,e   Noui, Karim ^c   Sardelli, Francesco ^c,d  

^a UNIVERSITÉ DE LYON   (France)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

^c Parc de Grammont ^*

^d UNIVERSITY OF PISA   (Italy)

^e Aix Marseille University   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 56349156281     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.78.104009     Document Type: Article

References (60)

1. C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, 2004);
2. T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge University Press, Cambridge, UK, 2007);
3. A. Ashtekar and J. Lewandowski, Classical Quantum Gravity CQGRDG 0264-9381 21, R53 (2004). 10.1088/0264-9381/21/15/R01
4. C. Rovelli and L. Smolin, Phys. Rev. Lett. 61, 1155 (1988); PRLTAO 0031-9007 10.1103/PhysRevLett.61.1155
5. C. Rovelli L. Smolin Nucl. Phys. NUPBBO 0550-3213 B331, 80 (1990); 10.1016/0550-3213(90)90019-A
6. A. Ashtekar, C. Rovelli, and L. Smolin, Phys. Rev. Lett. 69, 237 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.69.237
7. C. Rovelli and L. Smolin, Nucl. Phys. NUPBBO 0550-3213 B442, 593 (1995); 10.1016/0550-3213(95)00150-Q
8. C. Rovelli L. Smolin Nucl. Phys. NUPBBO 0550-3213 B456, 734(E) (1995);
9. A. Ashtekar and J. Lewandowski, Classical Quantum Gravity CQGRDG 0264-9381 14, A55 (1997); 10.1088/0264-9381/14/1A/006
10. A. Ashtekar J. Lewandowski Adv. Theor. Math. Phys. 1095-0761 1, 388 (1998).
11. T. Thiemann, Phys. Lett. B 380, 257 (1996); PYLBAJ 0370-2693 10.1016/0370-2693(96)00532-1
12. T. Thiemann Classical Quantum Gravity CQGRDG 0264-9381 15, 839 (1998); 10.1088/0264-9381/15/4/011
13. T. Thiemann Classical Quantum Gravity CQGRDG 0264-9381 15, 875 (1998); 10.1088/0264-9381/15/4/012
14. T. Thiemann Classical Quantum Gravity CQGRDG 0264-9381 15, 1207 (1998). 10.1088/0264-9381/15/5/010
15. T. Thiemann, Classical Quantum Gravity CQGRDG 0264-9381 23, 2211 (2006); 10.1088/0264-9381/23/7/002
16. B. Dittrich and T. Thiemann, Classical Quantum Gravity CQGRDG 0264-9381 23, 1025 (2006); 10.1088/0264-9381/23/4/001
17. T. Thiemann, Classical Quantum Gravity CQGRDG 0264-9381 23, 2249 (2006). 10.1088/0264-9381/23/7/003
18. M.P. Reisenberger and C. Rovelli, Phys. Rev. D 56, 3490 (1997); PRVDAQ 0556-2821 10.1103/PhysRevD.56.3490
19. C. Rovelli, Phys. Rev. D 59, 104015 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.104015
20. J.C. Baez, Classical Quantum Gravity CQGRDG 0264-9381 15, 1827 (1998); 10.1088/0264-9381/15/7/004
21. A. Perez, Classical Quantum Gravity CQGRDG 0264-9381 20, R43 (2003); 10.1088/0264-9381/20/6/202
22. D. Oriti, Rep. Prog. Phys. RPPHAG 0034-4885 64, 1703 (2001). 10.1088/0034-4885/64/12/203
23. K. Noui and A. Perez, Classical Quantum Gravity CQGRDG 0264-9381 22, 1739 (2005). 10.1088/0264-9381/22/9/017
24. J.F. Plebanski, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 18, 2511 (1977). 10.1063/1.523215
25. J.W. Barrett and L. Crane, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 39, 3296 (1998); 10.1063/1.532254
26. R. De Pietri, L. Freidel, K. Krasnov, and C. Rovelli, Nucl. Phys. NUPBBO 0550-3213 B574, 785 (2000); 10.1016/S0550-3213(00)00005-5
27. D. Oriti and R.M. Williams, Phys. Rev. D 63, 024022 (2000); PRVDAQ 0556-2821 10.1103/PhysRevD.63.024022
28. A. Perez and C. Rovelli, Nucl. Phys. NUPBBO 0550-3213 B599, 255 (2001). 10.1016/S0550-3213(01)00030-X
29. E. Alesci and C. Rovelli, Phys. Rev. D 76, 104012 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.76.104012
30. E. Alesci and C. Rovelli, Phys. Rev. D 77, 044024 (2008); PRVDAQ 0556-2821 10.1103/PhysRevD.77.044024
31. E. Alesci, Int. J. Mod. Phys. A 23, 1209 (2008). IMPAEF 0217-751X 10.1142/S0217751X0804007X
32. L. Modesto and C. Rovelli, Phys. Rev. Lett. 95, 191301 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.191301
33. C. Rovelli, Phys. Rev. Lett. 97, 151301 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.151301
34. E. Bianchi, L. Modesto, C. Rovelli, and S. Speziale, Classical Quantum Gravity CQGRDG 0264-9381 23, 6989 (2006). 10.1088/0264-9381/23/23/024
35. J. Engle, R. Pereira, and C. Rovelli, Phys. Rev. Lett. 99, 161301 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.161301
36. J. Engle R. Pereira C. Rovelli Nucl. Phys. NUPBBO 0550-3213 B798, 251 (2008). 10.1016/j.nuclphysb.2008.02.002
37. J. Engle, E. Livine, R. Pereira, and C. Rovelli, Nucl. Phys. NUPBBO 0550-3213 B799, 136 (2008). 10.1016/j.nuclphysb.2008.02.018
38. R. Pereira, Classical Quantum Gravity CQGRDG 0264-9381 25, 085013 (2008). 10.1088/0264-9381/25/8/085013
39. L. Freidel and K. Krasnov, Classical Quantum Gravity CQGRDG 0264-9381 25, 125018 (2008). 10.1088/0264-9381/25/12/125018
40. E. Livine and S. Speziale, Phys. Rev. D 76, 084028 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.76.084028
41. E. Livine S. Speziale Europhys. Lett. 81, 50004 (2008). EULEEJ 0295-5075 10.1209/0295-5075/81/50004
42. F. Conrady and L. Freidel, arXiv:0806.4640.
43. E. Magliaro, C. Perini, and C. Rovelli, Classical Quantum Gravity CQGRDG 0264-9381 25, 095009 (2008); 10.1088/0264-9381/25/9/095009
44. E. Alesci, E. Bianchi, E. Magliaro, and C. Perini, " Intertwiner Dynamics in LQG Flipped Vertex " (unpublished).
45. S. Alexandrov and E. Livine, Phys. Rev. D 67, 044009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.044009
46. A.R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1957).
47. J.C. Baez and J.D. Christensen, Classical Quantum Gravity CQGRDG 0264-9381 19, 2291 (2002); 10.1088/0264-9381/19/8/316
48. J.D. Christensen and G. Egan, Classical Quantum Gravity CQGRDG 0264-9381 19, 1185 (2002); 10.1088/0264-9381/19/6/310
49. J.D. Christensen, Classical Quantum Gravity CQGRDG 0264-9381 23, 1679 (2006); 10.1088/0264-9381/23/5/013
50. I. Khavkine and J.D. Christensen, Classical Quantum Gravity CQGRDG 0264-9381 24, 3271 (2007). 10.1088/0264-9381/24/13/009
51. M.P. Reisenberger, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 40, 2046 (1999). 10.1063/1.532850
52. J.W. Barrett and R.M. Williams, Adv. Theor. Math. Phys. 3, 209 (1999); 1095-0761
53. J.C. Baez, J.D. Christensen, and G. Egan, Classical Quantum Gravity CQGRDG 0264-9381 19, 6489 (2002); 10.1088/0264-9381/19/24/315
54. J.W. Barrett and C.M. Steele, Classical Quantum Gravity CQGRDG 0264-9381 20, 1341 (2003); 10.1088/0264-9381/20/7/307
55. L. Freidel and D. Louapre, Classical Quantum Gravity CQGRDG 0264-9381 20, 1267 (2003). 10.1088/0264-9381/20/7/303
56. L. Freidel, K. Noui, and P. Roche, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 48, 113512 (2007). 10.1063/1.2803507
57. E. Bianchi and L. Modesto, Nucl. Phys. NUPBBO 0550-3213 B796, 581 (2008). 10.1016/j.nuclphysb.2007.12.011
58. J.D. Christensen, E. Livine, and S. Speziale, arXiv:0710.0617.
59. S. Alexandrov, Phys. Rev. D 78, 044033 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.78.044033
60. A. Ashtekar and J. Lewandowski, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 36, 2170 (1995). 10.1063/1.531037