Three-dimensional vertex model in statistical mechanics from Baxter-Bazhanov model

Journal of Statistical Physics

Volumn 82, Issue 3-4, 1996, Pages 633-655

  Hu, Zhan Ning ^a   Hou, Bo Yu ^b  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b NORTHWEST UNIVERSITY   (China)

Author keywords

Cube type tetrahedron equation; Interaction round a cube (irc) model; Three dimensional baxter bazhanov model; Vertex type mode; Vertex type tetrahedron equation; Wu kadanoff wegner duality

Indexed keywords

EID: 0040157727     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02179789     Document Type: Article

References (54)

1. A. B. Zamolodchikov, Commun. Math. Phys. 79:489 (1981).
2. R. J. Baxter, Physica D 18:321 (1986).
3. R. J. Baxter, Commun. Math. Phys. 88:185 (1983).
4. F. W. Wu, Phys. Rev. B 4:2312 (1971).
5. L. P. Kadanoff and F. J. Wegner, Phys. Rev. B 4:3989 (1971).
6. V. V. Bazhanov and R. J. Baxter, J. Stat. Phys. 69:453 (1992).
7. R. M. Kashaev, V. V. Mangazeev, and Yu. G. Stroganov, Int. J. Mod. Phys. A 8:1399 (1993).
8. Z. N. Hu, Mod. Phys. Lett. B 8:779 (1994).
9. V. V. Bazhanov and R. J. Baxter, J. Stat. Phys. 71:839 (1993).
10. R. M. Kashaev, V. V. Mangazeev, and Yu. G. Stroganov, Int. J. Mod. Phys. A 8:587 (1993).
11. Z. N. Hu, Int. J. Mod. Phys. A 9:5201 (1994).
12. Z. N. Hu and B. Y. Hou, J. Stat. Phys. 79:759 (1995).
13. L. D. Faddeev and R. M. Kashaev, Quantum dilogarithm, Preprint (1993).
14. Z. N. Hu, Phys. Lett. A 197:387 (1995).
15. Z. N. Hu and B. Y. Hou, Phys. Lett. A 201:151 (1995).
16. V. V. Mangazeev, S. M. Sergeev, and Yu. G. Stroganov, Int. J. Mod. Phys. A 9:5517 (1994).
17. V. V. Mangazeev and Yu. G. Stroganov, Mod. Phys. Lett. A 8:3475 (1993).
18. I. G. Korepanov, Commun. Math. Phys. 154:85 (1993).
19. I. Frenkel and G. Moore, Commun. Math. Phys. 138:259 (1991).
20. Y. Q. Li and Z. N. Hu, J. Phys. A 28:L219 (1995).
21. J. Hietarinta, J. Phys. A 27:5727 (1994).
22. V. V. Mangazeev, S. M. Sergeev, and Yu. G, Stroganov, New solution of vertex type tetrahedron equations, Preprint [hep-th/9410049] (1994).
23. Z. N. Hu, On the three-dimensional lattice model, preprint (1995).
24. J. H. H. Perk and F. Y. Wu. J. Stat. Phys. 42:727 (1986).
25. H. Au-Yang and J. H. H. Perk, Adv. Stud. Pure Math. 19:57 (1989).
26. S. M. Sergeev, V. V. Mangazeev, and Yu. G. Stroganov, The vertex formulation of the Bazhanov-Baxter model, Preprint [hep-th/9504035] (1995).
27. S. Sergeev, Yu. Stroganov, V. Mangazeev, and G. Boos, Private communication (1995).
28. H. E. Boos, V. V. Mangazeev, and S. M. Sergeev, Modified tetrahedron equation and related 3D integrable models, Preprint [hep-th/9407146].
29. Z. N. Hu, Three-dimensional vertex model related BCC model in statistical mechanics, Preprint (1995).
30. R. J. Baxter, J. H. H. Perk, and H. Au-Yang, Phys. Lett. A 128:138 (1988).
31. E. H. Lieb, Phys. Rev. 162:162 (1967); Phys. Rev. Lett. 18:692, 1046 (1967); Phys. Rev. Lett. 19:108 (1967).
32. E. H. Lieb, Phys. Rev. 162:162 (1967); Phys. Rev. Lett. 18:692, 1046 (1967); Phys. Rev. Lett. 19:108 (1967).
33. E. H. Lieb, Phys. Rev. 162:162 (1967); Phys. Rev. Lett. 18:692, 1046 (1967); Phys. Rev. Lett. 19:108 (1967).
34. M. T. Batchelor, R. J. Baxter, M. J. O'Rourke, and C. M. Yung, Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions, Preprint, Australian National University MRR 012-95 (1995).
35. V. V. Bazhanov and Yu. G. Stroganov, J. Stat. Phys. 59:799 (1990).
36. G. Albertini, B. M. McCoy, and J. H. H. Perk, Phys. Lett. A 135:159 (1989); Adv. Stud. Pure Math. 19:1 (1989).
37. G. Albertini, B. M. McCoy, and J. H. H. Perk, Phys. Lett. A 135:159 (1989); Adv. Stud. Pure Math. 19:1 (1989).
38. R. J. Baxter, V. V. Bazhanov, and J. H. H. Perk, Int. J. Mod. Phys. B 4:803 (1990).
39. M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki, Phys. Lett. A 168:256 (1992).
40. N. S. Han and A. Honecker, J. Phys. A 27:9 (1994).
41. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
42. I. G. Korepanov, Hidden symmetries in the 6-vertex model of statistical physics, Preprint (1994).
43. F. H. L. Essler, H. Frahm, A. R. Its, and V. E. Korepin, Integro-difference equation for a correlation function of the spin-1/2 Heisenberg XXZ chain, Preprint, BONN-H-95-06 (1995).
44. J. D. Johnson, S. Krinsky, and B. M. McCoy, Phys. Rev. A 8:2526 (1973).
45. Z. J. Chen, Y. M. Zhang, and B. W. Xu, Z. Phys. B, to appear.
46. D. Jordan and R. Wigner, Z. Phys. 47:631 (1928).
47. V. J. Emery, In Highly Conducting One-Dimensional Solids, J. T. Devreese, R. P. Evrard, and V. E. van Doren, eds. (Plenum Press, New York, 1979), p. 247.
48. K. M. Leung, Phys. Rev. B 27:2877 (1983).
49. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Reading, Massachusetts, 1991).
50. V. V. Bazhanov and Yu. G. Stroganov, Teor. Mat. Fiz. 62:377 (1985).
51. R. J. Baxter and P. J. Forrester, J. Phys. A 18:1483 (1985).
52. H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang, and M. L. Yan, Phys. Lett. A 123:219 (1987).
53. B. L. Cerchiai, M. Martellini, and F. Valz-Gris, J. Stat. Phys. 78:1083 (1995).
54. S. Boukraa, J.-M. Maillard, and G. Rollet, J. Stat. Phys. 78:1195 (1995).