Random surfaces and lattice gravity

Nuclear Physics B - Proceedings Supplements

Volumn 63, Issue 1-3, 1998, Pages 77-88

  Bowick, Mark ^a  

^a SYRACUSE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032044236     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(97)00699-3     Document Type: Article

References (75)

1. 1. F. David, Nucl. Phys. B487 (1997) 633 (hep-th/9610037).
2. 2. G. Thorleifsson and B. Petersson, Beyond the c=1 Barrier in Two-Dimensional Quantum Gravity, to appear in these Proceedings (hep-lat/9709072).
3. 3. For a review see P. Ginsparg, Applied Conformal Field Theory, in Fields, Strings and Critical Phenomena, Les Houches 1988, Session XLIX, Eds. E. Brézin and J. Zinn-Justin (North Holland, 1990).
4. 4. V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett. A3 (1988) 819.
5. 5. D. Weingarten, Nucl. Phys. B210 [FS6] (1982) 229; F. David, Nucl. Phys. B257 (1985) 45; V. A. Kazakov, Phys. Lett. B150 (1985) 28; J. Ambjørn. B. Durhuus and J. Frohlich, Nucl. Phys. B257 (1985) 433; For a review see Quantum Geometry: A Statistical Field Theory Approach, J. Ambjørn, B. Durhuus and T. Jonsson (Cambridge University Press, Cambridge, 1997).
6. 5. D. Weingarten, Nucl. Phys. B210 [FS6] (1982) 229; F. David, Nucl. Phys. B257 (1985) 45; V. A. Kazakov, Phys. Lett. B150 (1985) 28; J. Ambjørn. B. Durhuus and J. Frohlich, Nucl. Phys. B257 (1985) 433; For a review see Quantum Geometry: A Statistical Field Theory Approach, J. Ambjørn, B. Durhuus and T. Jonsson (Cambridge University Press, Cambridge, 1997).
7. 5. D. Weingarten, Nucl. Phys. B210 [FS6] (1982) 229; F. David, Nucl. Phys. B257 (1985) 45; V. A. Kazakov, Phys. Lett. B150 (1985) 28; J. Ambjørn. B. Durhuus and J. Frohlich, Nucl. Phys. B257 (1985) 433; For a review see Quantum Geometry: A Statistical Field Theory Approach, J. Ambjørn, B. Durhuus and T. Jonsson (Cambridge University Press, Cambridge, 1997).
8. 5. D. Weingarten, Nucl. Phys. B210 [FS6] (1982) 229; F. David, Nucl. Phys. B257 (1985) 45; V. A. Kazakov, Phys. Lett. B150 (1985) 28; J. Ambjørn. B. Durhuus and J. Frohlich, Nucl. Phys. B257 (1985) 433; For a review see Quantum Geometry: A Statistical Field Theory Approach, J. Ambjørn, B. Durhuus and T. Jonsson (Cambridge University Press, Cambridge, 1997).
9. 5. D. Weingarten, Nucl. Phys. B210 [FS6] (1982) 229; F. David, Nucl. Phys. B257 (1985) 45; V. A. Kazakov, Phys. Lett. B150 (1985) 28; J. Ambjørn. B. Durhuus and J. Frohlich, Nucl. Phys. B257 (1985) 433; For a review see Quantum Geometry: A Statistical Field Theory Approach, J. Ambjørn, B. Durhuus and T. Jonsson (Cambridge University Press, Cambridge, 1997).
10. 6. M. Douglas and S. Shenker, Nucl. Phys. B335 (1990) 635; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B340 (1990) 333; E. Brézin and V. A. Kazakov, Phys. Lett. B236 (1990) 144.
11. 6. M. Douglas and S. Shenker, Nucl. Phys. B335 (1990) 635; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B340 (1990) 333; E. Brézin and V. A. Kazakov, Phys. Lett. B236 (1990) 144.
12. 6. M. Douglas and S. Shenker, Nucl. Phys. B335 (1990) 635; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B340 (1990) 333; E. Brézin and V. A. Kazakov, Phys. Lett. B236 (1990) 144.
13. 6. M. Douglas and S. Shenker, Nucl. Phys. B335 (1990) 635; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B340 (1990) 333; E. Brézin and V. A. Kazakov, Phys. Lett. B236 (1990) 144.
14. 7. I. Klebanov, String Theory in two dimensions, in Proc. Trieste Spring School on String theory and Quantum Gravity 1991 (hep-th/9108019); M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B419 [FS] (1994) 665.
15. 7. I. Klebanov, String Theory in two dimensions, in Proc. Trieste Spring School on String theory and Quantum Gravity 1991 (hep-th/9108019); M. Bowick, M. Falcioni, G. Harris and E. Marinari, Nucl. Phys. B419 [FS] (1994) 665.
16. 8. E. Brézin and J. Zinn-Justin, Phys. Lett. B288 (1992) 54.
17. 9. S.R. Das, A. Dhar, A.M. Sengupta and S.R. Wadia, Mod. Phys. Lett. A5 (1990) 1041.
18. 10. H. Kawai, N. Kawamoto, T. Mogami and Y. Watabiki, Phys. Lett. B306 (1993) 19.
19. 11. J. Ambjørn and Y. Watabiki, Nucl. Phys. B445 (1995) 129.
20. 12. N. Ishibashi and H. Kawai, Phys. Lett. B314 (1993) 190.
21. 13. Y. Watabiki, Progress in Theoretical Physics, Suppl. No. 114 (1993) 1; N. Kawamoto, in Nishinomiya 1992, Proc. eds. K. Kikkawa and M. Ninomiya; in First Asia-Pacific Winter School for Theoretical Physics 1993, Proc. ed. Y.M. Cho.
22. 13. Y. Watabiki, Progress in Theoretical Physics, Suppl. No. 114 (1993) 1; N. Kawamoto, in Nishinomiya 1992, Proc. eds. K. Kikkawa and M. Ninomiya; in First Asia-Pacific Winter School for Theoretical Physics 1993, Proc. ed. Y.M. Cho.
23. 14. S. Catterall, G. Thorleifsson, M. Bowick and V. John, Phys. Lett. B354 (1995) 58; J. Ambjørn, J. Jurkiewicz and Y. Watabiki, Nucl. Phys. B454 (1995) 313; J. Ambjørn, K.N. Anagnostopoulos, U. Magnea and G. Thorleifsson, Phys. Lett. B388 (1996) 713; J. Ambjørn and K.N. Anagnostopoulos, Nucl. Phys. B497 (1997) 445.
24. 14. S. Catterall, G. Thorleifsson, M. Bowick and V. John, Phys. Lett. B354 (1995) 58; J. Ambjørn, J. Jurkiewicz and Y. Watabiki, Nucl. Phys. B454 (1995) 313; J. Ambjørn, K.N. Anagnostopoulos, U. Magnea and G. Thorleifsson, Phys. Lett. B388 (1996) 713; J. Ambjørn and K.N. Anagnostopoulos, Nucl. Phys. B497 (1997) 445.
25. 14. S. Catterall, G. Thorleifsson, M. Bowick and V. John, Phys. Lett. B354 (1995) 58; J. Ambjørn, J. Jurkiewicz and Y. Watabiki, Nucl. Phys. B454 (1995) 313; J. Ambjørn, K.N. Anagnostopoulos, U. Magnea and G. Thorleifsson, Phys. Lett. B388 (1996) 713; J. Ambjørn and K.N. Anagnostopoulos, Nucl. Phys. B497 (1997) 445.
26. 14. S. Catterall, G. Thorleifsson, M. Bowick and V. John, Phys. Lett. B354 (1995) 58; J. Ambjørn, J. Jurkiewicz and Y. Watabiki, Nucl. Phys. B454 (1995) 313; J. Ambjørn, K.N. Anagnostopoulos, U. Magnea and G. Thorleifsson, Phys. Lett. B388 (1996) 713; J. Ambjørn and K.N. Anagnostopoulos, Nucl. Phys. B497 (1997) 445.
27. 15. J. Ambjørn, K.N. Anagnostopoulos and G. Thorleifsson, The Quantum Spacetime of c > 0 2d Gravity, to appear in these Proceedings (hep-lat/9709025).
28. 16. M. Bowick, V. John and G. Thorleifsson, Phys. Lett. B403 (1997) 197 (hep-th/9608030).
29. 17. J. Ambjørn, K. N. Anagnostopoulos, T. Ichihara, L. Jensen, N. Kawamoto, Y. Watabiki and K. Yotsuji, Phys. Lett. B397 (1997) 177 (hep-lat/9611032); The quantum space-time of c=-2 gravity (hep-lat/9706009) : to appear in Nucl. Phys. B; Intrinsic Geometric Structure of c=-2 Quantum Gravity (hep-lat/9709063):to appear in these Proceedings.
30. 17. J. Ambjørn, K. N. Anagnostopoulos, T. Ichihara, L. Jensen, N. Kawamoto, Y. Watabiki and K. Yotsuji, Phys. Lett. B397 (1997) 177 (hep-lat/9611032); The quantum space-time of c=-2 gravity (hep-lat/9706009) : to appear in Nucl. Phys. B; Intrinsic Geometric Structure of c=-2 Quantum Gravity (hep-lat/9709063):to appear in these Proceedings.
31. 17. J. Ambjørn, K. N. Anagnostopoulos, T. Ichihara, L. Jensen, N. Kawamoto, Y. Watabiki and K. Yotsuji, Phys. Lett. B397 (1997) 177 (hep-lat/9611032); The quantum space-time of c=-2 gravity (hep-lat/9706009) : to appear in Nucl. Phys. B; Intrinsic Geometric Structure of c=-2 Quantum Gravity (hep-lat/9709063):to appear in these Proceedings.
32. 18. T. Hotta, T. Izubuchi and J. Nishimura, Prog. Theor. Phys. 94 (1995) 263 (hep-lat/9709073); Nucl. Phys. B. (Proc. Suppl.) 47 (1996) 609.
33. 18. T. Hotta, T. Izubuchi and J. Nishimura, Prog. Theor. Phys. 94 (1995) 263 (hep-lat/9709073); Nucl. Phys. B. (Proc. Suppl.) 47 (1996) 609.
34. 19. S. Catterall, G. Thorleifsson, J. Kogut and R. Renken, Nucl. Phys. B468 (1996) 263.
35. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
36. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
37. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
38. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
39. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
40. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
41. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
42. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
43. 20. J. Ambjørn and S. Varsted, Phys. Lett. B226 (1991) 285; D. Boulatov and A. Krzywicki, Mod. Phys. Lett. A6 (1991) 3003; M. E. Agishtein and A. A. Migdal, Mod. Phys. Lett. A6 (1991) 1863; J. Ambjørn and S. Varsted, Nucl. Phys. B373 (1992) 557; J. Ambjørn, D. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B276 (1992) 432; R. L. Renken, S. M. Catterall and J. B. Kogut, Nucl. Phys. B389 (1993) 601; Nucl. Phys. B422 (1994) 677; J. Ambjørn, Z. Burda, J. Jurkiewicz and C. Kristjansen, Phys. Lett. B297 (1992) 253; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A9 (1994) 2527.
44. 21. P. Bialas, Z. Burda, A. Krzywicki and B. Petersson, Nucl. Phys. B472 (1996) 293 (hep-lat/9601024).
45. 22. B. de Bakker, Phys. Lett. B389 (1996) 238 (hep-lat/9603024).
46. 23. S. Catterall, R. Renken and J. Kogut, Singular Structure in 4D Simplicial Gravity (hep-lat/9709007).
47. 24. J. Ambjørn and J. Jurkiewicz, Nucl. Phys. B451 (1995) 643.
48. 25. P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B495 (1997) 463; P. Bialas and Z. Burda, Phys. Lett. B384 (1996) 75; P. Bialas, Z. Burda and D. Johnston, Nucl. Phys. B493 (1997) 505.
49. 25. P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B495 (1997) 463; P. Bialas and Z. Burda, Phys. Lett. B384 (1996) 75; P. Bialas, Z. Burda and D. Johnston, Nucl. Phys. B493 (1997) 505.
50. 25. P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B495 (1997) 463; P. Bialas and Z. Burda, Phys. Lett. B384 (1996) 75; P. Bialas, Z. Burda and D. Johnston, Nucl. Phys. B493 (1997) 505.
51. 26. P. Bialas, Z. Burda and D. Johnston, Balls in Boxes and Quantum Gravity (hep-lat/9709056): to appear in these Proceedings.
52. 27. R. Sorkin, Forks in the Road to Quantum Gravity, to appear in Int. J. Mod. Phys. A (gr-qc/9706002).
53. 28. L. Smolin, The future of spin networks: gr-qc/9702030.
54. 29. B. Brugmann and E. Marinari, Phys. Rev. Lett. 70 (1993) 1908.
55. 30. T. Hotta, T. Izubuchi and J. Nishimura, A new phase structure in three-dimensional dynamical triangulation model (hep-lat/9710017): to appear in these Proceedings.
56. 31. Statistical Mechanics of Membranes and Surfaces, Vol. 5 of the Jerusalem Winter School for Theoretical Physics Proceedings, Eds. D. R. Nelson, T. Piran and S. Weinberg (World Scientific, Singapore, 1989); F. David, in Two Dimensional Quantum Gravity and Random Surfaces, Vol. 8 of the Jerusalem Winter School for Theoretical Physics Proceedings, Eds. D. J. Gross, T. Piran and S. Weinberg (World Scientific, Singapore, 1992); Fluctuating Geometries in Statistical Mechanics and Field Theory, Eds. F. David, P. Ginsparg and J. Zinn-Justin: Les Houches Session LXII (Elsevier Science, The Netherlands, 1996) (http://xxx.lanl.gov/lh94).
57. 31. Statistical Mechanics of Membranes and Surfaces, Vol. 5 of the Jerusalem Winter School for Theoretical Physics Proceedings, Eds. D. R. Nelson, T. Piran and S. Weinberg (World Scientific, Singapore, 1989); F. David, in Two Dimensional Quantum Gravity and Random Surfaces, Vol. 8 of the Jerusalem Winter School for Theoretical Physics Proceedings, Eds. D. J. Gross, T. Piran and S. Weinberg (World Scientific, Singapore, 1992); Fluctuating Geometries in Statistical Mechanics and Field Theory, Eds. F. David, P. Ginsparg and J. Zinn-Justin: Les Houches Session LXII (Elsevier Science, The Netherlands, 1996) (http://xxx.lanl.gov/lh94).
58. 31. Statistical Mechanics of Membranes and Surfaces, Vol. 5 of the Jerusalem Winter School for Theoretical Physics Proceedings, Eds. D. R. Nelson, T. Piran and S. Weinberg (World Scientific, Singapore, 1989); F. David, in Two Dimensional Quantum Gravity and Random Surfaces, Vol. 8 of the Jerusalem Winter School for Theoretical Physics Proceedings, Eds. D. J. Gross, T. Piran and S. Weinberg (World Scientific, Singapore, 1992); Fluctuating Geometries in Statistical Mechanics and Field Theory, Eds. F. David, P. Ginsparg and J. Zinn-Justin: Les Houches Session LXII (Elsevier Science, The Netherlands, 1996) (http://xxx.lanl.gov/lh94).
59. 32. M. Bowick, M. Falcioni and G. Thorleifsson, Phys. Rev. Lett. 79 (1997) 885 (cond-mat/9705059).
60. 33. L. Radzihovsky and J. Toner, Phys. Rev. Lett. 75 (1995) 4752 (cond-mat/9510172).
61. 34. G. Thorleifsson and M. Falcioni, Improved Algorithms for Simulating Crystalline Membranes: physics/9709026.
62. 35. M. Bowick and E. Guitter, Effects of Self-Avoidance on the Tubular Phase of Anisotropic Membranes, to appear in Phys. Rev. E. (1997) (cond-mat/9705045).
63. 36. L. Radzihovsky and J. Toner, Elasticity, Shape Fluctuations and Phase Transitions in the New Tubule Phase of Anisotropic Tethered Membranes: cond-mat/9708046.
64. 37. T. Lubensky, Solid State Comm. 102 (1997) 187 (cond-mat/9609215).
65. 38. B. de Bakker, Nucl. Phys. B (Proc. Suppl.) 42 (1995) 716 (hep-lat/9411032).
66. 39. M. Bowick, S. Catterall and G. Thorleifsson, Phys. Lett. B391 (1997) 305 (hep-lat/9605167); Nucl. Phys. B (Proc. Suppl.) 53 (1997) 753 (hep-lat/9608076).
67. 39. M. Bowick, S. Catterall and G. Thorleifsson, Phys. Lett. B391 (1997) 305 (hep-lat/9605167); Nucl. Phys. B (Proc. Suppl.) 53 (1997) 753 (hep-lat/9608076).
68. 40. J. Ambjørn, M. Carfora and A. Marzuoli, The Geometry of Dynamical Triangulations, to appear in Lecture Notes in Physics (hep-th/9612069).
69. 41. R. Renken, Phys. Rev. D50 (1994) 5130; R. Renken, S. Catterall and J. Kogut, Phys. Lett. B345 (1995) 422; D. Johnston, J. P. Kownacki and A. Krzywicki, Nucl.Phys. B (Proc.Suppl.) 42 (1995) 728; Z. Burda, J. P. Kownacki and A. Krzywicki, Phys. Lett. B356 (1995) 466; G. Thorleifsson and S. Catterall, Nucl. Phys. B461 (1996) 350;
70. 41. R. Renken, Phys. Rev. D50 (1994) 5130; R. Renken, S. Catterall and J. Kogut, Phys. Lett. B345 (1995) 422; D. Johnston, J. P. Kownacki and A. Krzywicki, Nucl.Phys. B (Proc.Suppl.) 42 (1995) 728; Z. Burda, J. P. Kownacki and A. Krzywicki, Phys. Lett. B356 (1995) 466; G. Thorleifsson and S. Catterall, Nucl. Phys. B461 (1996) 350;
71. 41. R. Renken, Phys. Rev. D50 (1994) 5130; R. Renken, S. Catterall and J. Kogut, Phys. Lett. B345 (1995) 422; D. Johnston, J. P. Kownacki and A. Krzywicki, Nucl.Phys. B (Proc.Suppl.) 42 (1995) 728; Z. Burda, J. P. Kownacki and A. Krzywicki, Phys. Lett. B356 (1995) 466; G. Thorleifsson and S. Catterall, Nucl. Phys. B461 (1996) 350;
72. 41. R. Renken, Phys. Rev. D50 (1994) 5130; R. Renken, S. Catterall and J. Kogut, Phys. Lett. B345 (1995) 422; D. Johnston, J. P. Kownacki and A. Krzywicki, Nucl.Phys. B (Proc.Suppl.) 42 (1995) 728; Z. Burda, J. P. Kownacki and A. Krzywicki, Phys. Lett. B356 (1995) 466; G. Thorleifsson and S. Catterall, Nucl. Phys. B461 (1996) 350;
73. 41. R. Renken, Phys. Rev. D50 (1994) 5130; R. Renken, S. Catterall and J. Kogut, Phys. Lett. B345 (1995) 422; D. Johnston, J. P. Kownacki and A. Krzywicki, Nucl.Phys. B (Proc.Suppl.) 42 (1995) 728; Z. Burda, J. P. Kownacki and A. Krzywicki, Phys. Lett. B356 (1995) 466; G. Thorleifsson and S. Catterall, Nucl. Phys. B461 (1996) 350;
74. R. Renken, Nucl. Phys. B (Proc. Suppl.) 53 (1997) 783;
75. R. Renken, Nucl. Phys. B485 (1997) 503.