Freezing of triangulations

European Physical Journal B

Volumn 38, Issue 3, 2004, Pages 485-494

  Kownacki, J P ^a  

^a UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CRYSTAL LATTICES; DEFECTS; GRAVITATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; QUANTUM THEORY; THEOREM PROVING; TOPOLOGY;

QUANTUM GRAVITY; SQUARE CURVATURE ENERGY; TOPOLOGICAL DEFECTS;

FREEZING;

EID: 3042653020     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2004-00143-8     Document Type: Article

References (40)

1. F. David, in Gravitation and Quantizations, Les Houches Summer School, Session LVII (1992), edited by B. Julia, J. Zinn-Justin (Eisevier, Amsterdam, 1995), pp. 679-750; J. Ambjørn, in Fluctuating Geometries and Field Theory, Les Houches Summer School, Session LXII (1994), edited by F. David, P. Ginsparg, J. Zinn-Justin (Eisevier, Amsterdam, 1996), pp. 77-193 ; P. Di Francesco, P. Ginsparg, J. Zinn-Justin, Phys. Rep. 254, 1 (1995); J. Ambjørn, B. Durhuus, T. Jónsson, Quantum Geometry (Cambridge University Press, 1997)
2. F. David, in Gravitation and Quantizations, Les Houches Summer School, Session LVII (1992), edited by B. Julia, J. Zinn-Justin (Eisevier, Amsterdam, 1995), pp. 679-750; J. Ambjørn, in Fluctuating Geometries and Field Theory, Les Houches Summer School, Session LXII (1994), edited by F. David, P. Ginsparg, J. Zinn-Justin (Eisevier, Amsterdam, 1996), pp. 77-193 ; P. Di Francesco, P. Ginsparg, J. Zinn-Justin, Phys. Rep. 254, 1 (1995); J. Ambjørn, B. Durhuus, T. Jónsson, Quantum Geometry (Cambridge University Press, 1997)
3. F. David, in Gravitation and Quantizations, Les Houches Summer School, Session LVII (1992), edited by B. Julia, J. Zinn-Justin (Eisevier, Amsterdam, 1995), pp. 679-750; J. Ambjørn, in Fluctuating Geometries and Field Theory, Les Houches Summer School, Session LXII (1994), edited by F. David, P. Ginsparg, J. Zinn-Justin (Eisevier, Amsterdam, 1996), pp. 77-193 ; P. Di Francesco, P. Ginsparg, J. Zinn-Justin, Phys. Rep. 254, 1 (1995); J. Ambjørn, B. Durhuus, T. Jónsson, Quantum Geometry (Cambridge University Press, 1997)
4. F. David, in Gravitation and Quantizations, Les Houches Summer School, Session LVII (1992), edited by B. Julia, J. Zinn-Justin (Eisevier, Amsterdam, 1995), pp. 679-750; J. Ambjørn, in Fluctuating Geometries and Field Theory, Les Houches Summer School, Session LXII (1994), edited by F. David, P. Ginsparg, J. Zinn-Justin (Eisevier, Amsterdam, 1996), pp. 77-193 ; P. Di Francesco, P. Ginsparg, J. Zinn-Justin, Phys. Rep. 254, 1 (1995); J. Ambjørn, B. Durhuus, T. Jónsson, Quantum Geometry (Cambridge University Press, 1997)
5. "Statistical Mechanics of Membranes and Surfaces", Proc. of the Fifth Jerusalem Winter School for Theoretical Physics, 1987/1988, edited by D. Nelson, T. Piran, S. Weinberg (World Scientific, Singapore, 1989)
6. M.J. Bowick, S.M. Catterall, G. Thorleifsson, Phys. Lett. B 391, 305 (1997)
7. T. Aste, D. Sherrington, J. Phys. A 32, 7049 (1999); L. Davison, D. Sherrington," J. Phys. A 33, 8615 (2000); L. Davison, D. Sherrington, J.P. Garrahan, A. Buhot, J. Phys. A 34, 5147 (2001); A. Buhot, J.P. Garrahan, D. Sherrington, J. Phys. A 36, 307 (2003)
8. T. Aste, D. Sherrington, J. Phys. A 32, 7049 (1999); L. Davison, D. Sherrington," J. Phys. A 33, 8615 (2000); L. Davison, D. Sherrington, J.P. Garrahan, A. Buhot, J. Phys. A 34, 5147 (2001); A. Buhot, J.P. Garrahan, D. Sherrington, J. Phys. A 36, 307 (2003)
9. T. Aste, D. Sherrington, J. Phys. A 32, 7049 (1999); L. Davison, D. Sherrington," J. Phys. A 33, 8615 (2000); L. Davison, D. Sherrington, J.P. Garrahan, A. Buhot, J. Phys. A 34, 5147 (2001); A. Buhot, J.P. Garrahan, D. Sherrington, J. Phys. A 36, 307 (2003)
10. T. Aste, D. Sherrington, J. Phys. A 32, 7049 (1999); L. Davison, D. Sherrington," J. Phys. A 33, 8615 (2000); L. Davison, D. Sherrington, J.P. Garrahan, A. Buhot, J. Phys. A 34, 5147 (2001); A. Buhot, J.P. Garrahan, D. Sherrington, J. Phys. A 36, 307 (2003)
11. J. Frölich, in Lectures Notes in Physics, Vol. 216, edited by L. Garrido (Springer, 1985); F. David, Nucl. Phys. B 257, 45 (1985); V.A. Kazakov, Phys. Lett. B 150, 182 (1985)
12. J. Frölich, in Lectures Notes in Physics, Vol. 216, edited by L. Garrido (Springer, 1985); F. David, Nucl. Phys. B 257, 45 (1985); V.A. Kazakov, Phys. Lett. B 150, 182 (1985)
13. J. Frölich, in Lectures Notes in Physics, Vol. 216, edited by L. Garrido (Springer, 1985); F. David, Nucl. Phys. B 257, 45 (1985); V.A. Kazakov, Phys. Lett. B 150, 182 (1985)
14. C. Itzykson, J.-M. Drouffe, Statistical Field Theory, Vol. 2 (Cambridge University Press, 1990).
15. T. Regge, Nuovo Cimento 19, 558 (1961)
16. W.T. Tutte, Can. J. Math. 14, 21 (1962)
17. E. Brézin, C. Itzykson, G. Parisi, J.B. Zuber, Comm. Math. Phys. 59, 35 (1978)
18. S. Jain, S.D. Mathur, Phys. Lett. B 286, 239 (1992)
19. H. Kawai, N. Kawamoto, T. Mogami, Y. Watabiki, Phys. Lett. B 306, 19 (1993)
20. D.V. Boulatov, V.A. Kazakov, I.K. Kostov, A.A. Migdal, Nucl. Phys. B 275, 641 (1986)
21. C. Godrèche, I. Kostov, I. Yekutieli, Phys. Rev. Lett. 69, 2674 (1992)
22. D.V. Boulatov, V.A. Kazakov, Phys. Lett. B 184, 247 (1987)
23. N. Tsuda, T. Yukawa, Phys. Lett. B 305. 223 (1993); T. Yukawa, N. Tsuda, A.T. Sornborger, Nucl. Phys. B (Proc. Suppl.) 30, 791 (1993); S. Ichinose, N. Tsuda, T. Yukawa, Nucl. Phys. B 445, 295 (1995); S. Ichinose, N. Tsuda, T. Yukawa, Int. J. Mod. Phys. A 12, 757 (1997)
24. N. Tsuda, T. Yukawa, Phys. Lett. B 305. 223 (1993); T. Yukawa, N. Tsuda, A.T. Sornborger, Nucl. Phys. B (Proc. Suppl.) 30, 791 (1993); S. Ichinose, N. Tsuda, T. Yukawa, Nucl. Phys. B 445, 295 (1995); S. Ichinose, N. Tsuda, T. Yukawa, Int. J. Mod. Phys. A 12, 757 (1997)
25. N. Tsuda, T. Yukawa, Phys. Lett. B 305. 223 (1993); T. Yukawa, N. Tsuda, A.T. Sornborger, Nucl. Phys. B (Proc. Suppl.) 30, 791 (1993); S. Ichinose, N. Tsuda, T. Yukawa, Nucl. Phys. B 445, 295 (1995); S. Ichinose, N. Tsuda, T. Yukawa, Int. J. Mod. Phys. A 12, 757 (1997)
26. N. Tsuda, T. Yukawa, Phys. Lett. B 305. 223 (1993); T. Yukawa, N. Tsuda, A.T. Sornborger, Nucl. Phys. B (Proc. Suppl.) 30, 791 (1993); S. Ichinose, N. Tsuda, T. Yukawa, Nucl. Phys. B 445, 295 (1995); S. Ichinose, N. Tsuda, T. Yukawa, Int. J. Mod. Phys. A 12, 757 (1997)
27. V.A. Kazakov, M. Staudacher, T. Wynter, Nucl. Phys. B 471, 309 (1996)
28. J.W. Alexander, Ann. Math. 31, 292 (1930); M. Gross, S. Varsted, Nucl. Phys. B 378, 367 (1992).
29. J.W. Alexander, Ann. Math. 31, 292 (1930); M. Gross, S. Varsted, Nucl. Phys. B 378, 367 (1992).
30. J.-M. Drouffe, private communication
31. W. Kob, J. Phys.: Condens. Matter 11, R85 (1999)
32. S. Sastry, P.G. Debenedetti, F.H. Stillinger, Nature 393, 554 (1998)
33. K. Broderix, K.K. Bhattacharya, A. Cavagna, A. Zippelius, I. Giardina, Phys. Rev. Lett. 85, 5360 (2000)
34. F.H. Stillinger, T.A. Weber, Phys. Rev. A 25, 978 (1982)
35. F. Ritort, P. Sollich, Adv. Phys. 52, 219 (2003); B. Coluzzi, A. Crisanti, E. Marinari, F. Ritort, A. Rocco, Eur. Phys. J. B 32, 495 (2003); A. Crisanti, F. Ritort, J. Phys.: Condens. Matter 14. 1381 (2002)
36. F. Ritort, P. Sollich, Adv. Phys. 52, 219 (2003); B. Coluzzi, A. Crisanti, E. Marinari, F. Ritort, A. Rocco, Eur. Phys. J. B 32, 495 (2003); A. Crisanti, F. Ritort, J. Phys.: Condens. Matter 14. 1381 (2002)
37. F. Ritort, P. Sollich, Adv. Phys. 52, 219 (2003); B. Coluzzi, A. Crisanti, E. Marinari, F. Ritort, A. Rocco, Eur. Phys. J. B 32, 495 (2003); A. Crisanti, F. Ritort, J. Phys.: Condens. Matter 14. 1381 (2002)
38. A. Crisanti, F. Ritort, A. Rocco, M. Sellitto,.J. Chem. Phys. 113, 10615 (2000); A. Crisanti, F. Ritort, A. Rocco, M. Sellitto, J. Phys.: Condens. Matter 14, 1523 (2002)
39. A. Crisanti, F. Ritort, A. Rocco, M. Sellitto,.J. Chem. Phys. 113, 10615 (2000); A. Crisanti, F. Ritort, A. Rocco, M. Sellitto, J. Phys.: Condens. Matter 14, 1523 (2002)
40. G. Biroli, J. Kurchan, Phys. Rev. E 64, 016101 (2001)