Functional relations for the order parameters of the chiral potts model

Journal of Statistical Physics

Volumn 91, Issue 3-4, 1998, Pages 499-524

  Baxter, R J ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Chiral potts model; Functional relations; Lattice models; Spontaneous magnetization; Statistical mechanics

Indexed keywords

EID: 0032073662     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023096408679     Document Type: Article

References (32)

1. L. Dolan and M. Grady, Phys. Rev. D 25:1587-1604 (1982).
2. S. Howes, L. P. Kadanoff, and M. den Nijs, Nucl. Phys. B 215[FS7]:169-208 (1983).
3. G. von Gehlen and V. Rittenberg, Nucl. Phys. B 257[FS14]:351-370 (1985).
4. H. Au-Yang, B. M. McCoy, J. H. H. Perk, S. Tang, and M.-L. Yan, Phys. Lett. A 123:219-223 (1987).
5. B. M. McCoy, J. H. H. Perk, and S. Tang, Phys. Lett. A 125:9 14 (1987).
6. R. J. Baxter, J. H. H. Perk, and H. Au-Yang, Phys. Lett. A 128:138-142 (1988).
7. R. J. Baxter, J. Stat. Phys. 52:639-667 (1988).
8. R. J. Baxter, Phys. Lett. A 146:110-114 (1990).
9. R. J. Baxter, in Proc. Fourth Asia-Pacific Physics Conference, Vol. 1, S. H. Ahn, Il-T. Cheon, S. H. Choh, and C. Lee, eds. (World Scientific, Singapore, 1991), pp. 42-57.
10. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, London and New York, 1982).
11. R. J. Baxter, J. Stat. Phys. 70:535-582 (1993).
12. G. Albertini, B. M. McCoy, J. H. H. Perk, and S. Tang, Nucl. Phys. B 314:741-763 (1989).
13. M. Henkel and J. Lacki, Phys. Lett. A 138:105-109 (1989).
14. M. Jimbo, T. Miwa, and A. Nakayashiki, J. Phys. A 26:2199-2210 (1993).
15. M. Jimbo, R. Kedem, H. Konno, T. Miwa, and R. Weston, Nucl. Phys. B 448:429-456 (1995).
16. O. Foda, M. Jimbo, K. Miki, T. Miwa, and A. Nakayashiki, J. Math. Phys. 35:13-46 (1994).
17. B. Davies, in Confronting the Infinite, A. L. Carey et al., eds. (World Scientific, Singapore, 1995), pp. 175-192.
18. M. Yu. Lashkevich, Mod. Phys. Lett. B 10:101-116 (1996).
19. B. Davies and I. Peschel, Ann. Physik 6:187-214 (1997).
20. R. J. Baxter, in Proceedings of the International Conference on Frontiers in Quantum Physics, Kuala Lumpur, 1997, S. C. Lim, ed. (1998).
21. V. Lakshmikantham and D. Trigiante, Theory of Difference Equations: Numerical Methods and Applications (Academic, San Diego, 1988).
22. R. J. Baxter, J. Stat. Phys. 28:1-41 (1982).
23. R. J. Baxter, Physica 18D:321-347 (1986).
24. R. J. Baxter, in Proceedings of the International Congress of Mathematicians, Kyoto, 1990 (Springer-Verlag, Tokyo, 1991), pp. 1305-1317.
25. R. J. Baxter, in Integrable Quantum Field Theories, L. Bonora et al., eds. (Plenum Press, New York, 1993), pp. 27-37.
26. O. Ore, The Four-Color Problem (Aademic Press, New York, 1967).
27. M. Kashiwara and T. Miwa, Nucl. Phys. B275[FS17]:121-134 (1986).
28. V. B. Matveev and A. O. Smirnov, Letters in Math. Phys. 19:179-185 (1990).
29. R. J. Baxter, Phil. Trans. Roy. Soc. 289:315-346 (1978).
30. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1965).
31. L. Onsager, Nuovo Cimento (Suppl.) 6:261 (1949).
32. C. N. Yang, Phys. Rev. 85:808-816 (1952).