Holographic formulation of quantum general relativity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 8, 2000, Pages

  Smolin, Lee ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17144373389     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.084007     Document Type: Article

References (64)

1. G. ’t Hooft, “Dimensional reduction in quantum gravity,” gr-qc/9310026.
2. L. Susskind, J. Math. Phys. 36, 6377 (1995)
3. L. SusskindPhys. Rev. Lett. 71, 2367 (1993)
4. L. SusskindPhys. Rev. D 49, 6606 (1994)
5. Phys. Rev. DL. Susskind50, 2700 (1994)
6. L. Susskind and P. Griffin, “Partons and black holes,” hep-ph/9410306.
7. L. Crane, J. Math. Phys. 36, 6180 (1995).
8. L. Smolin, “The Bekenstein bound, topological quantum field theory and pluralistic quantum cosmology,” gr-qc/9508064.
9. L. Smolin, The Life of the Cosmos (Oxford and Wiedenfeld and Nicolson, London, 1997).
10. C. Rovelli, Int. J. Theor. Phys. 36, 1637 (1996).
11. L. Smolin, J. Math. Phys. 36, 6417 (1995).
12. L. Smolin, in Quantum Gravity and Cosmology, edited by J. Pérez-Mercader (World Scientific, Singapore, 1992).
13. C. Rovelli and L. Smolin, Nucl. Phys. B442, 593 (1995)
14. Nucl. Phys.C. RovelliL. SmolinB456, 734(E) (1995).
15. C. Rovelli and L. Smolin, Phys. Rev. D 52, 5743 (1995).
16. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourãu, and T. Thiemann, J. Math. Phys. 36, 6456 (1995)
17. A. Ashtekar and J. Lewandowski, Class. Quantum Grav. 14, A55 (1997)
18. Class. Quantum Grav.J. Lewandowski, 14, 71 (1997).
19. S. Major and L. Smolin, Nucl. Phys. B473, 267 (1996)
20. R. Borissov, S. Major, and L. Smolin, Class. Quantum Grav. 12, 3183 (1996).
21. J. D. Bekenstein, Lett. Nuovo Cimento 4, 737 (1972)
22. J. D. BekensteinPhys. Rev. D 7, 2333 (1973)
23. Phys. Rev. DJ. D. Bekenstein9, 3292 (1974).
24. H. Kodama, Prog. Theor. Phys. 80, 1024 (1988).
25. L. Smolin and C. Soo, Nucl. Phys. B449, 289 (1995).
26. T. Banks, W. Fishler, S. H. Shenker, and L. Susskind, Phys. Rev. D 55, 5112 (1997)
27. Lubos Motl, “Proposals on nonperturbative superstring interactions,” hep-th/9701025
28. Tom Banks and Nathan Seiberg, Nucl. Phys. B497, 41 (1997)
29. Nucl. Phys.R. Dijkgraaf, E. Verlinde, and H. Verlinde, B500, 43 (1997).
30. P. Horava, Phys. Rev. D 59, 046004 (1999).
31. Juan M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)
32. Juan M. MaldacenaPhys. Rev. Lett. 80, 4859 (1998).
33. E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998)
34. Adv. Theor. Math. Phys.E. Witten2, 505 (1998).
35. S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428, 105 (1998).
36. L. Smolin, “Holographic formulation of extended supergravity in terms of finite surfaces” (in preparation).
37. A. Ashtekar, Phys. Rev. Lett. 57, 2244 (1986)
38. A. AshtekarPhys. Rev. D 36, 1587 (1987).
39. T. Jacobson and L. Smolin, Phys. Lett. B 196, 39 (1987)
40. T. JacobsonL. SmolinClass. Quantum Grav. 5, 583 (1988).
41. Joseph Samuel, Pramana 28, L429 (1987).
42. J. F. Barbero, Int. J. Mod. Phys. D 3, 379 (1994).
43. J. F. Plebanski, J. Math. Phys. 12, 2511 (1977).
44. R. De Pietri and L. Freidel, Class. Quantum Grav. 16, 2187 (1999).
45. R. Capovilla, J. Dell, and T. Jacobson, Phys. Rev. Lett. 63, 2325 (1989)
46. R. CapovillaJ. DellT. JacobsonClass. Quantum Grav. 8, 59 (1991)
47. Class. Quantum Grav.R. Capovilla, J. Dell, T. Jacobson, and L. Mason, 8, 41 (1991).
48. S. Macdowell and F. Mansouri, Phys. Rev. Lett. 38, 739 (1977)
49. Phys. Rev. Lett.S. MacdowellF. Mansouri38, 1376(E) (1977).
50. T. Jacobson (unpublished).
51. D. Rayner, Class. Quantum Grav. 7, 111 (1990)
52. Class. Quantum Grav.D. Rayner7, 651 (1990).
53. T. Jacobson and L. Smolin (unpublished).
54. C. Rovelli and L. Smolin, Phys. Rev. Lett. 61, 1155 (1988)
55. C. RovelliL. SmolinNucl. Phys. B133, 80 (1990).
56. A. Ashtekar and C. J. Isham, Class. Quantum Grav. 9, 1069 (1992).
57. J. Barrett and L. Crane, J. Math. Phys. 39, 3296 (1998).
58. J. Baez, Class. Quantum Grav. 15, 1827 (1998).
59. Laurent Freidel and Kirill Krasnov, Class. Quantum Grav. 16, 351 (1999)
60. Laurent FreidelKirill KrasnovAdv. Theor. Math. Phys. 2, 1183 (1999).
61. Y. Ling and L. Smolin, “Holographic formulation of quantum supergravity” and “Holographic formulation of N=2 supergravity, ” reports (in preparation).
62. B. Bruegmann, R. Gambini, and J. Pullin, Phys. Rev. Lett. 68, 431 (1992)
63. R. Gambini and J. Pullin, Loops, Knots, Gauge Theories and Quantum Gravity (Cambridge University Press, Cambridge, England, 1996).
64. L. Kauffman and S. L. Lins, Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (Princeton University Press, Princeton, NJ, 1994).