Integrable 2D Lorentzian gravity and random walks

Nuclear Physics B

Volumn 567, Issue 3, 2000, Pages 515-553

  Di Francesco, P ^a   Guitter, E ^a   Kristjansen, C ^b  

^a CEA SACLAY   (France)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Integrable models; Lorentzian triangulations; Quantum gravity; Random walks

Indexed keywords

EID: 0034695770     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00661-6     Document Type: Article

References (25)

1. H. Kawai, N. Kawamoto, T. Mogami, Y. Watabiki, Phys. Lett. B 306 (1993) 19. hep-th/9302133.
2. Y. Watabiki, Nucl. Phys. B 441 (1995) 119. hep-th/9401096.
3. J. Ambjørn, Y. Watabiki, Nucl. Phys. B 445 (1995) 129. hep-th/9501049.
4. J. Ambjørn, J. Jurkiewicz, Y. Watabiki, Nucl. Phys. B 454 (1995) 313. hep-th/9507014.
5. J. Ambjørn, K.N. Anagnostopoulos, U. Magnea, G. Thorleifsson, Phys. Lett. B 388 (1996) 713. hep-lat/9606012.
6. J. Ambjørn, A.N. Anagnostopoulos, Nucl. Phys. B 497 (1997) 445. hep-lat/9701006.
7. J. Ambjørn, P. Bialas, J. Jurkiewicz, J. High Energy Phys. 9902 (1999) 005. hep-lat/9812015.
8. N. Ishibashi, H. Kawai, Phys. Lett. B 322 (1994) 67. hep-th/9312047.
9. N. Ishibashi, H. Kawai, Phys. Lett. Phys. Lett. B 352 (1995) 75. hep-th/9503134.
10. J. Ambjørn, C. Kristjansen, Y. Watabiki, Nucl. Phys. B 504 (1997) 555. hep-th/9705202.
11. J. Ambjørn, K.N. Anagnostopoulos, J. Jurkiewicz, C. Kristjansen, J. High Energy Phys. 9804 (1998) 016. hep-th/9802020.
12. S. Gubser, I. Klebanov, Nucl. Phys. B 416 (1994) 827. hep-th/9310098.
13. J. Ambjørn, R. Loll, Nucl. Phys. B 536 (1998) 407. hep-th/9805108.
14. J. Ambjørn, J. Nielsen, J. Rolf, R. Loll, Chaos Solitons Fractals 10 (1999) 177.
15. R. Nakayama, Phys. Lett. B 325 (1994) 347. hep-th/9312158.
16. J. Ambjørn, K.N. Anagnostopoulos, R. Loll, hep-th/9904012.
17. J. Ambjørn, private communication.
18. S. Weinberg, Ultraviolet divergences in quantum gravity, in: General Relativity, an Einstein Centenary Survey ed. S.W. Hawking, W. Israel (Cambridge Univ. Press, Cambridge, 1979).
19. V.A. Kazakov, M. Staudacher, T. Wynter, Commun. Math. Phys. 179 (1996) 235. hep-th/9506174.
20. V.A. Kazakov, M. Staudacher, T. Wynter, Nucl. Phys. B 471 (1996) 309. hep-th/9601069.
21. M. Staudacher, Nucl. Phys. B 336 (1990) 349.
22. Ya.G. Sinai, Theor. Prob. Appl. 27 (1982) 256.
23. A.O. Golosov, Sov. Math. Dokl. 28 (1983) 18.
24. P. Le Doussal, C. Monthus, D.S. Fisher, Phys. Rev. E 59 (1999) 4795, cond-mat/9811300.
25. J. Chave, E. Guitter, J. Phys. A: Math. Gen. 32 (1999) 445, cond-mat/980908 7.