Three-dimensional simplicial gravity and degenerate triangulations

Nuclear Physics B

Volumn 538, Issue 1-2, 1999, Pages 278-294

  Thorleifsson, Gudmar ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

Dynamical triangulations; Monte Carlo simulations; Simplicial quantum gravity

Indexed keywords

EID: 0033545142     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00679-8     Document Type: Article

References (37)

1. [1] F. David, Simplicial Quantum Gravity and Random Lattices (hep-th/9303127). Lectures given at Les Houches Summer School on Gravitation and Quantizations, Session LVII, Les Houches, France, 1992.
2. [2] J. Ambjørn, B. Durhuus and T. Jonsson, Quantum Geometry: A statistical field theory approach (Cambridge Univ. Press, Cambridge, 1997).
3. [3] J. Ambjørn and S. Varsted, Phys. Lett. B 266 (1991) 285; Nucl. Phys. B 373 (1992) 557: D.V. Boulatov and A. Krzywicki, Mod. Phys. Lett. A 6 (1991) 3005; J. Ambjørn, D.V. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B 276 (1992) 432.
4. [3] J. Ambjørn and S. Varsted, Phys. Lett. B 266 (1991) 285; Nucl. Phys. B 373 (1992) 557: D.V. Boulatov and A. Krzywicki, Mod. Phys. Lett. A 6 (1991) 3005; J. Ambjørn, D.V. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B 276 (1992) 432.
5. [3] J. Ambjørn and S. Varsted, Phys. Lett. B 266 (1991) 285; Nucl. Phys. B 373 (1992) 557: D.V. Boulatov and A. Krzywicki, Mod. Phys. Lett. A 6 (1991) 3005; J. Ambjørn, D.V. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B 276 (1992) 432.
6. [3] J. Ambjørn and S. Varsted, Phys. Lett. B 266 (1991) 285; Nucl. Phys. B 373 (1992) 557: D.V. Boulatov and A. Krzywicki, Mod. Phys. Lett. A 6 (1991) 3005; J. Ambjørn, D.V. Boulatov, A. Krzywicki and S. Varsted, Phys. Lett. B 276 (1992) 432.
7. [4] S. Catterall, J. Kogut and R. Renken, Phys. Lett. B 342 (1995) 53; Nucl. Phys. B 523 (1998) 553.
8. [4] S. Catterall, J. Kogut and R. Renken, Phys. Lett. B 342 (1995) 53; Nucl. Phys. B 523 (1998) 553.
9. [5] T. Hotta, T. Izubuchi and J. Nishimura, Nucl. Phys. B (Proc. Suppl.) 63 (1998) 63; Multicanonical simulation of 3-d dynamical triangulation model and a new phase structure (hep-lat/9802021).
10. [6] H. Hagura, N. Tsuda and T. Yukawa, Phys. Lett. B 418 (1998) 273; H.S. Egawa, N. Tsuda and T. Yukawa, Common structures in simplicial quantum gravity (hep-lat/9802010).
11. [6] H. Hagura, N. Tsuda and T. Yukawa, Phys. Lett. B 418 (1998) 273; H.S. Egawa, N. Tsuda and T. Yukawa, Common structures in simplicial quantum gravity (hep-lat/9802010).
12. [7] E. Brezin, C. Itzykson, G. Parisi and J.B. Zuber, Commun. Math. Phys. 59 (1978) 35.
13. [8] J. Ambjørn, G. Thorleifsson and M. Wexler, Nucl. Phys. B 439 (1995) 187.
14. [9] M. Bowick, S. Catterall and G. Thorleifsson, Phys. Lett. B 391 (1997) 305; Nucl. Phys. B (Proc. Suppl.) 53 (1997) 753; V.A. Kazakov, M. Staudacher and T. Wynter, Nucl. Phys. B 471 (1996) 309.
15. [9] M. Bowick, S. Catterall and G. Thorleifsson, Phys. Lett. B 391 (1997) 305; Nucl. Phys. B (Proc. Suppl.) 53 (1997) 753; V.A. Kazakov, M. Staudacher and T. Wynter, Nucl. Phys. B 471 (1996) 309.
16. [9] M. Bowick, S. Catterall and G. Thorleifsson, Phys. Lett. B 391 (1997) 305; Nucl. Phys. B (Proc. Suppl.) 53 (1997) 753; V.A. Kazakov, M. Staudacher and T. Wynter, Nucl. Phys. B 471 (1996) 309.
17. [10] N. Godfrey and M. Gross, Phys. Rev. D 43 (1991) R1749; M. Agishtein and A. Migdal, Mod. Phys. Let. A 6 (1991) 1863; M. Gross and S. Varsted, Nucl. Phys. B 378 (1992) 367.
18. [10] N. Godfrey and M. Gross, Phys. Rev. D 43 (1991) R1749; M. Agishtein and A. Migdal, Mod. Phys. Let. A 6 (1991) 1863; M. Gross and S. Varsted, Nucl. Phys. B 378 (1992) 367.
19. [10] N. Godfrey and M. Gross, Phys. Rev. D 43 (1991) R1749; M. Agishtein and A. Migdal, Mod. Phys. Let. A 6 (1991) 1863; M. Gross and S. Varsted, Nucl. Phys. B 378 (1992) 367.
20. [11] S. Catterall, Comput. Phys. Commun. 87 (1995) 409.
21. [12] T. Hotta, T. Izubuchi and J. Nishimura, Prog. Theor. Phys. 94 (1995) 263; S. Catterall, G. Thorleifsson, J. Kogut and R. Renken, Nucl. Phys. B 468 (1996) 263; P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B 495 (1997) 463; S. Catterall, J. Kogut and R. Renken, Phys. Lett. B 416 (1998) 274.
22. [12] T. Hotta, T. Izubuchi and J. Nishimura, Prog. Theor. Phys. 94 (1995) 263; S. Catterall, G. Thorleifsson, J. Kogut and R. Renken, Nucl. Phys. B 468 (1996) 263; P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B 495 (1997) 463; S. Catterall, J. Kogut and R. Renken, Phys. Lett. B 416 (1998) 274.
23. [12] T. Hotta, T. Izubuchi and J. Nishimura, Prog. Theor. Phys. 94 (1995) 263; S. Catterall, G. Thorleifsson, J. Kogut and R. Renken, Nucl. Phys. B 468 (1996) 263; P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B 495 (1997) 463; S. Catterall, J. Kogut and R. Renken, Phys. Lett. B 416 (1998) 274.
24. [12] T. Hotta, T. Izubuchi and J. Nishimura, Prog. Theor. Phys. 94 (1995) 263; S. Catterall, G. Thorleifsson, J. Kogut and R. Renken, Nucl. Phys. B 468 (1996) 263; P. Bialas, Z. Burda, B. Petersson and J. Tabaczek, Nucl. Phys. B 495 (1997) 463; S. Catterall, J. Kogut and R. Renken, Phys. Lett. B 416 (1998) 274.
25. [13] K. Binder, in The Monte Carlo Method in Condensed Matter Physics, ed. K. Binder, 2nd edition (Springer, Berlin, 1992).
26. [14] S. Catterall, G. Thorleifsson, M. Bowick and V. John, Phys. Lett. B 354 (1995) 56; J. Ambjørn, J. Jurkiewicz and Y. Watabiki, Nucl. Phys. B 454 (1995) 313.
27. [14] S. Catterall, G. Thorleifsson, M. Bowick and V. John, Phys. Lett. B 354 (1995) 56; J. Ambjørn, J. Jurkiewicz and Y. Watabiki, Nucl. Phys. B 454 (1995) 313.
28. [15] S. Jain and S.D. Mathur, Phys. Lett. B 286 (1992) 239; J. Ambjørn, S. Jain and G. Thorleifsson, Phys. Lett. B 307 (1993) 34; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 7(1994) 7.
29. [15] S. Jain and S.D. Mathur, Phys. Lett. B 286 (1992) 239; J. Ambjørn, S. Jain and G. Thorleifsson, Phys. Lett. B 307 (1993) 34; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 7(1994) 7.
30. [15] S. Jain and S.D. Mathur, Phys. Lett. B 286 (1992) 239; J. Ambjørn, S. Jain and G. Thorleifsson, Phys. Lett. B 307 (1993) 34; J. Ambjørn and G. Thorleifsson, Phys. Lett. B 323 7(1994) 7.
31. [16] B. Brugmann and E. Marinari, Phys. Rev. Lett. 70 (1993) 1908.
32. [17] R.L. Renken, S.M. Catterall and J. Kogut, Nucl. Phys. B 422 (1994) 677; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A 9 (1994) 2527; J. Ambjorn, Z. Burda, J. Jurkiewicz and C.F. Kristjansen, Phys. Lett. B 297 (1992) 253.
33. [17] R.L. Renken, S.M. Catterall and J. Kogut, Nucl. Phys. B 422 (1994) 677; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A 9 (1994) 2527; J. Ambjorn, Z. Burda, J. Jurkiewicz and C.F. Kristjansen, Phys. Lett. B 297 (1992) 253.
34. [17] R.L. Renken, S.M. Catterall and J. Kogut, Nucl. Phys. B 422 (1994) 677; J. Ambjørn, J. Jurkiewicz, S. Bilke, Z. Burda and B. Petersson, Mod. Phys. Lett. A 9 (1994) 2527; J. Ambjorn, Z. Burda, J. Jurkiewicz and C.F. Kristjansen, Phys. Lett. B 297 (1992) 253.
35. [18] S. Bilke, Z. Burda, A. Krzywicki, B. Petersson, J. Tabaczek and G. Thorleifsson, Phys. Lett. B 418 (1998) 266; B 432 (1998) 279.
36. [18] S. Bilke, Z. Burda, A. Krzywicki, B. Petersson, J. Tabaczek and G. Thorleifsson, Phys. Lett. B 418 (1998) 266; B 432 (1998) 279.
37. [19] B. Petersson, O. Prauss, G. Thorleifsson and T. Westheider, in preparation.