Lattice gravity and random surfaces

Nuclear Physics B - Proceedings Supplements

Volumn 73, Issue 1-3, 1999, Pages 133-145

  Thorleifsson, Gudmar ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033095834     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0920-5632(99)85013-0     Document Type: Article

References (68)

1. C. Rovelli, Strings, Loops and Others: A Critical Survey of the Present Approaches to Quantum Gravity, (gr-qc/9803024).
2. Weinberg S. Hawking S.W., Israel W., General Relativity. An Einstein centenary survey. 1979;179 Cambridge University Press.
3. Kawai H., Ninomiya M. Nucl. Phys. B. 336:1990;115 Kawai H., Kitazawa Y., Ninomiya M. Nucl. Phys. B. 404:1994;684.
4. Kawai H., Ninomiya M. Nucl. Phys. B. 336:1990;115 Kawai H., Kitazawa Y., Ninomiya M. Nucl. Phys. B. 404:1994;684.
5. Regge T. Il Nouovo Cimento. 19:1961;558.
6. Rocek M., Williams R. Phys. Lett. B. 104:1981;31.
7. Weingarten D. Nucl. Phys. B. 210:1982;229.
8. Williams R.M. Nucl. Phys. B (Proc. Suppl.). 57:1997;73.
9. David F. Simplicial quantum gravity and random lattices. 1992;Les Houches, France. (hep-th/9303127), Lectures given at Les Houches Summer School, Session LVII.
10. Ambjørn J., Durhuus B., Jónsson T. Quantum Geometry: A statistical field theory approach. 1997;Cambridge Univ. Press.
11. Holm C., Janke W. Phys. Lett. B. 335:1994;143 Bock W., Vink J.C. Nucl. Phys. B. 438:1995;320.
12. Holm C., Janke W. Phys. Lett. B. 335:1994;143 Bock W., Vink J.C. Nucl. Phys. B. 438:1995;320.
13. Gross M., Varsted S. Nuc. Phys. B. 378:1992;367.
14. Jain S., Mathur S.D. Phys. Lett. B. 286:1992;239 Ambjørn J., Jain S., Thorleifsson G. Phys. Lett. B. 307:1993;34 Ambjørn J., Thorleifsson G. Phys. Lett. B. 323:1994;7.
15. Jain S., Mathur S.D. Phys. Lett. B. 286:1992;239 Ambjørn J., Jain S., Thorleifsson G. Phys. Lett. B. 307:1993;34 Ambjørn J., Thorleifsson G. Phys. Lett. B. 323:1994;7.
16. Jain S., Mathur S.D. Phys. Lett. B. 286:1992;239 Ambjørn J., Jain S., Thorleifsson G. Phys. Lett. B. 307:1993;34 Ambjørn J., Thorleifsson G. Phys. Lett. B. 323:1994;7.
17. Catterall S., Thorleifsson G., Bowick M., John V. Phys. Lett. B. 354:1995;56 Ambjørn J., Jurkiewicz J., Watabiki Y. Nucl. Phys. B. 454:1995;313.
18. Catterall S., Thorleifsson G., Bowick M., John V. Phys. Lett. B. 354:1995;56 Ambjørn J., Jurkiewicz J., Watabiki Y. Nucl. Phys. B. 454:1995;313.
19. Hotta T., Izubuchi T., Nishimura J. Prog. Theor. Phys. 94:1995;263 Catterall S., Thorleifsson G., Kogut J., Renken R. Nucl. Phys. B. 468:1996;263 Catterall S., Renken R., Kogut J. Phys. Lett. B. 416:1998;274.
20. Hotta T., Izubuchi T., Nishimura J. Prog. Theor. Phys. 94:1995;263 Catterall S., Thorleifsson G., Kogut J., Renken R. Nucl. Phys. B. 468:1996;263 Catterall S., Renken R., Kogut J. Phys. Lett. B. 416:1998;274.
21. Hotta T., Izubuchi T., Nishimura J. Prog. Theor. Phys. 94:1995;263 Catterall S., Thorleifsson G., Kogut J., Renken R. Nucl. Phys. B. 468:1996;263 Catterall S., Renken R., Kogut J. Phys. Lett. B. 416:1998;274.
22. Ambjørn J., Boulatov D.V., Krzywicki A., Varsted S. Phys. Lett. B. 276:1992;432 Ambjørn J., Varsted S. Nucl. Phys. B. 373:1992;557.
23. Ambjørn J., Boulatov D.V., Krzywicki A., Varsted S. Phys. Lett. B. 276:1992;432 Ambjørn J., Varsted S. Nucl. Phys. B. 373:1992;557.
24. Hotta T., Izubuchi T., Nishimura J. Nucl. Phys. B (Proc. Suppl.). 63:1998;63 Multicanonical simulation of 3-d dynamical triangulation model and a new phase structure, (hep-lat/9802021).
25. Bialas P., Burda Z., Krzywicki A., Petersson B. Nucl. Phys. B. 472:1996;293.
26. Ambjørn J., Burda Z., Jurkiewicz J., Kristjansen C.F. Phys. Lett. B. 297:1992;253 Ambjørn J., Jurkiewicz J., Kristjansen C.F. Nucl. Phys. B. 393:1993;601 Renken R., Catterall S., Kogut J. Nucl. Phys. B. 422:1994;677 Ambjørn J., Jurkiewicz J., Bilke S., Burda Z., Petersson B. Mod. Phys. Lett. A. 9:1994;2527.
27. Ambjørn J., Burda Z., Jurkiewicz J., Kristjansen C.F. Phys. Lett. B. 297:1992;253 Ambjørn J., Jurkiewicz J., Kristjansen C.F. Nucl. Phys. B. 393:1993;601 Renken R., Catterall S., Kogut J. Nucl. Phys. B. 422:1994;677 Ambjørn J., Jurkiewicz J., Bilke S., Burda Z., Petersson B. Mod. Phys. Lett. A. 9:1994;2527.
28. Ambjørn J., Burda Z., Jurkiewicz J., Kristjansen C.F. Phys. Lett. B. 297:1992;253 Ambjørn J., Jurkiewicz J., Kristjansen C.F. Nucl. Phys. B. 393:1993;601 Renken R., Catterall S., Kogut J. Nucl. Phys. B. 422:1994;677 Ambjørn J., Jurkiewicz J., Bilke S., Burda Z., Petersson B. Mod. Phys. Lett. A. 9:1994;2527.
29. Ambjørn J., Burda Z., Jurkiewicz J., Kristjansen C.F. Phys. Lett. B. 297:1992;253 Ambjørn J., Jurkiewicz J., Kristjansen C.F. Nucl. Phys. B. 393:1993;601 Renken R., Catterall S., Kogut J. Nucl. Phys. B. 422:1994;677 Ambjørn J., Jurkiewicz J., Bilke S., Burda Z., Petersson B. Mod. Phys. Lett. A. 9:1994;2527.
30. Brügmann B. Phys. Rev. D. 47:1993;3330 Brügmann B., Marinari E. Phys. Rev. Lett. 70:1993;1908.
31. Brügmann B. Phys. Rev. D. 47:1993;3330 Brügmann B., Marinari E. Phys. Rev. Lett. 70:1993;1908.
32. Renken R., Catterall S., Kogut J. Nucl. Phys. B. 523:1998;552.
33. Bilke S., Burda Z., Krzywicki A., Petersson B., Tabaczek J., Thorleifsson G. Phys. Lett. B. 418:1998;266 Bilke S., Burda Z., Krzywicki A., Petersson B., Tabaczek J., Thorleifsson G. Phys. Lett. B. 432:1998;279.
34. Bilke S., Burda Z., Krzywicki A., Petersson B., Tabaczek J., Thorleifsson G. Phys. Lett. B. 418:1998;266 Bilke S., Burda Z., Krzywicki A., Petersson B., Tabaczek J., Thorleifsson G. Phys. Lett. B. 432:1998;279.
35. Cates. Europhys. Lett. 8 (1988) 719; A. Krzywicki, Phys. Rev. D 41 (1990) 671.
36. Cates. Europhys. Lett. 8 (1988) 719; A. Krzywicki, Phys. Rev. D 41 (1990) 671.
37. I. Antoniadis, E. Mottola, Phys. Rev. D. 45 (1992) 2013; I. Antoniadis, P.O. Mazur, E. Mottola, Nucl. Phys. B. 388 (1992) 627; Phys. Lett. B. 394 (1997) 49.
38. I. Antoniadis, E. Mottola, Phys. Rev. D. 45 (1992) 2013; I. Antoniadis, P.O. Mazur, E. Mottola, Nucl. Phys. B. 388 (1992) 627; Phys. Lett. B. 394 (1997) 49.
39. I. Antoniadis, E. Mottola, Phys. Rev. D. 45 (1992) 2013; I. Antoniadis, P.O. Mazur, E. Mottola, Nucl. Phys. B. 388 (1992) 627; Phys. Lett. B. 394 (1997) 49.
40. F. David, Nucl. Phys. B. 257 (1985) 543; F. David, J. Jurkiewicz, A. Krzywicki, and B. Petersson, ibid. 290 (1987) 218.
41. F. David, Nucl. Phys. B. 257 (1985) 543; F. David, J. Jurkiewicz, A. Krzywicki, and B. Petersson, ibid. 290 (1987) 218.
42. S. Bilke, Z. Burda, A. Krzywicki, B. Petersson, K. Petrov, J. Tabaczek and G. Thorleifsson, The strong-coupling expansion in simplicial quantum gravity, (hep-lat/9809088), these proceedings.
43. P. Bialas, Z. Burda, B. Petersson, J. Tabaczek, Nucl. Phys. B. 495 (1997) 463; P. Bialas, Z. Burda, D. Johnston, ibid 493 (1997) 505; P. Bialas, Z. Burda, Phys. Lett. B. 416 (1998) 281.
44. P. Bialas, Z. Burda, B. Petersson, J. Tabaczek, Nucl. Phys. B. 495 (1997) 463; P. Bialas, Z. Burda, D. Johnston, ibid 493 (1997) 505; P. Bialas, Z. Burda, Phys. Lett. B. 416 (1998) 281.
45. P. Bialas, Z. Burda, B. Petersson, J. Tabaczek, Nucl. Phys. B. 495 (1997) 463; P. Bialas, Z. Burda, D. Johnston, ibid 493 (1997) 505; P. Bialas, Z. Burda, Phys. Lett. B. 416 (1998) 281.
46. P. Bialas, Z. Burda and D. Johnston, Phase diagram of the mean-field model of simplicial gravity, (gr-qc/9808011).
47. Brezin E., Itzykson C., Parisi G., Zuber J.B. Commun. Math. Phys. 59:1978;35.
48. Ambjørn J., Thorleifsson G., Wexler M. Nucl. Phys. B. 439:1995;187.
49. G. Thorleifsson, Three dimensional simplicial gravity and degenerate triangulations, (hep-lat/9807026).
50. S. Bilke and G. Thorleifsson, Simulating 4D simplicial quantum gravity using degenerate triangulations, (hep-lat/9809106), these proceedings.
51. S. Catterall, J. Kogut, R. Renken, Phys. Rev. Lett. 72 (1994) 4062; J. Ambjørn, J. Jurkiewicz, Phys. Lett. B 335 (1994) 355; B. Brugmann, E. Marinari, ibid 349 (1995) 35 S. Catterall, J. Kogut, R. Renken, G. Thorleifsson, ibid 366 (1996) 72.
52. S. Catterall, J. Kogut, R. Renken, Phys. Rev. Lett. 72 (1994) 4062; J. Ambjørn, J. Jurkiewicz, Phys. Lett. B 335 (1994) 355; B. Brugmann, E. Marinari, ibid 349 (1995) 35 S. Catterall, J. Kogut, R. Renken, G. Thorleifsson, ibid 366 (1996) 72.
53. S. Catterall, J. Kogut, R. Renken, Phys. Rev. Lett. 72 (1994) 4062; J. Ambjørn, J. Jurkiewicz, Phys. Lett. B 335 (1994) 355; B. Brugmann, E. Marinari, ibid 349 (1995) 35 S. Catterall, J. Kogut, R. Renken, G. Thorleifsson, ibid 366 (1996) 72.
54. S. Catterall, J. Kogut, R. Renken, Phys. Rev. Lett. 72 (1994) 4062; J. Ambjørn, J. Jurkiewicz, Phys. Lett. B 335 (1994) 355; B. Brugmann, E. Marinari, ibid 349 (1995) 35 S. Catterall, J. Kogut, R. Renken, G. Thorleifsson, ibid 366 (1996) 72.
55. Nelson D.R., Piran T., Weinberg S., Statistical mechanics of membranes and surfaces. 1989;World Scientific, Singapore.
56. Ginsparg P., David F., Zinn-Justin J., Fluctuating geometries in statistical mechanics and field theory. 1996;North Holland, Amsterdam.
57. Bowick M., Catterall S., Falcioni M., Thorleifsson G., Anagnostopoulos K. J. Phys. I France. 6:1996;1321.
58. Kleinert H. Phys. Lett. A. 114:1986;263 Forster D. Phys. Lett. A. 114:1986;115.
59. Kleinert H. Phys. Lett. A. 114:1986;263 Forster D. Phys. Lett. A. 114:1986;115.
60. Ambjørn J., Irback A., Jurkiewicz J., Petersson B. Nucl. Phys. B. 393:1993;571 Bowick M., Coddington P., Han L., Harris G. Nucl. Phys. B. 394:1993;791.
61. Ambjørn J., Irback A., Jurkiewicz J., Petersson B. Nucl. Phys. B. 393:1993;571 Bowick M., Coddington P., Han L., Harris G. Nucl. Phys. B. 394:1993;791.
62. Radzihovsky L., Toner J. Phys. Rev. Lett. 75:1995;4752 Radzihovsky L., Toner J. Phys. Rev. E. 57:1998;1832.
63. Radzihovsky L., Toner J. Phys. Rev. Lett. 75:1995;4752 Radzihovsky L., Toner J. Phys. Rev. E. 57:1998;1832.
64. Bowick M., Falcioni M., Thorleifsson G. Phys. Rev. Lett. 79:1997;885.
65. Thorleifsson G., Falcioni M. Comp. Phys. Comm. 109:1998;161.
66. Bowick M., Guitter E. Phys. Rev. E. 56:1997;7023.
67. M. Bowick and A. Travesset, The tubular phase of self-avoiding anisotropic crystalline membrane, (cond-mat/9808214) New Analytical Results on Anisotropic Membranes, these proceedings.
68. M. Bowick, S. Catterall, S. Warner, G. Thorleifsson and M. Falcioni, Anisotropic membranes, these proceedings.