Spin foam model for Lorcntzian general relativity

Physical Review D

Volumn 63, Issue 4, 2001, Pages

  Perez, Alejandro ^a,b   Rovelli, Carlo ^a,b  

^a CNRS   (France)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85037907353     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.041501     Document Type: Article

References (29)

1. M. Reisenberger, talk given at the 7th Marcel Grossmann Meeting Stanford, 1994, gr-qc/9412035.
2. J. Iwasaki, J. Math. Phys. 36, 6288 (1995).
3. J. Baez, Class. Quantum Grav. 15, 1827 (1998);
4. in Geometry and Quantum Physics, Lecture Notes in Physics, edited by Helmut Gausterer and Harald Grosse (Springer-Verlag, Berlin, 2000), pp. 25-93, gr-qc/9905087.
5. M. Reisenberger and C. Rovelli, Phys. Rev. D 56, 3490 (1997);
6. C. Rovelli, Nucl. Phys. B57, 28 (1997);
7. C. Rovelli, Phys. Rev. D 59, 104015 (1999).
8. R. De Pietri, in Proceedings of the XXIII SIGRAV Conference, Monopoli, Italy, 1998.
9. J. W. Barren and L. Crane, J. Math. Phys. 39, 3296 (1998).
10. C. Misner, Rev. Mod. Phys. 29, 497 (1957).
11. S. W. Hawking, in General Relativity: An Einstein Centenary Sun-ey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979).
12. M. Reisenberger, Class. Quantum Grav. 14, 1730 (1997);
13. "A lattice worldsheet sum for 4-d Euclidean general relativity," gr-qc/9711052.
14. J. Iwasaki, "A surface theoretic model of quantum gravity," gr-qc/9903112;
15. "A lattice quantum gravity model with surface-like excitations in 4-dimensional spacetime," gr-qc/0006088.
16. A. Ferez and C. Rovelli, "A spin foam model without bubble divergences," gr-qc/0006107.
17. J. W. Barren and L. Crane, Class. Quantum Grav. 17, 3101 (2000).
18. R. De Pietri, L. Freidel, K. Krasnov, and C. Rovelli, Nucl. Phys. B574, 785 (2000).
19. M. Reisenberger and C. Rovelli, "Spinfoam models as Feynman diagrams," gr-qc/0002083;
20. "Spacetime as a Feynman diagram: the connection formulation," gr-qc/0002095
21. [Class. Quantum Grav. (to be published)].
22. V. Turaev, Quantum Invariants of 3-Manifolds and a Glimpse of Shadow Topology in Quantum Groups, Springer Lecture Notes in Mathematics Vol. 1510 (Springer-Verlag, New York, 1992), pp. 363-366;
23. Quantum Invariants of Knots and 3-Manifolds (de Gruyter, New York, 1994).
24. H. Ooguri, Mod. Phys. Lett. A 7, 2799 (1992).
25. L. Crane and D. Yetter, in Quantum Topology, edited by L. Kaufmann and R. Baadhio (World Scientific, Singapore, 1993), hep-th/9301062.
26. L. Crane, L. Kauffman, and D. Yetter, J. Knot. Theor. Ramifications 6, 177 (1997).
27. I. M. Gel'fand, M. I. Graev, and N. Ya. Vilenkin, Generalized Functions, Integral Geometry and Representation Theory Vol. 5 (Academic, New York, 1966).
28. W. Ruhl, The Lorentz Group and Harmonic Analysis (Benjamin, New York, 1970).
29. A. Held, E. T. Newman, and R. Posadas, J. Math. Phys. 11, 3145 (1970).