Large-N limits of the chiral Potts model

Physica A: Statistical Mechanics and its Applications

Volumn 268, Issue 1, 1999, Pages 175-206

  Au Yang, Helen ^a,b,c   Perk, Jacques H H ^a,b,c  

^a OKLAHOMA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; INTEGRATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; NUMBER THEORY;

CHIRAL FIELD LATTICE; CHIRAL POTTS MODEL; HYPERGEOMETRIC FUNCTIONS; HYPERGEOMETRIC IDENTITY DEFORMATIONS; INTEGERS; PARAFERMIONIC CONFORMAL FIELD THEORY; STAR TRIANGLE EQUATIONS;

STATISTICAL MECHANICS;

EID: 0032674490     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00386-0     Document Type: Article

References (49)

1. Au-Yang H., McCoy B.M., Perk J.H.H., Tang S., Yan M.-L. Phys. Lett. A. 123:1987;219.
2. McCoy B.M., Perk J.H.H., Tang S., Sah C.-H. Phys. Lett. A. 125:1987;9.
3. J.H.H. Perk, in: L. Ehrenpreis, R.C. Gunning (Eds.), Theta Functions Bowdoin 1987, Proc. Symp. Pure Math., vol. 49, part 1, Am. Math. Soc., Providence, RI, 1989, p. 341.
4. H. Au-Yang, B.M. McCoy, J.H.H. Perk, S. Tang, in: M. Kashiwara, T. Kawai (Eds.), Papers dedicated to Professor Mikio Sato on the occasion of his sixtieth birthday, Algebraic Analysis, vol. 1. Academic Press, San Diego, 1988, p. 29.
5. Baxter R.J., Perk J.H.H., Au-Yang H. Phys. Lett. A. 128:1988;138.
6. H. Au-Yang, J.H.H. Perk, in: M. Jimbo, T. Miwa, A. Tsuchiya (Eds.), Integrable systems in quantum field theory and statistical mechanics, Advanced Studies in Pure Mathematics, vol. 19, Kinokuniya-Academic, Tokyo, 1989, p. 57.
7. Au-Yang H., Perk J.H.H. Int. J. Mod. Phys. B. 11:1997;11.
8. Au-Yang H., Perk J.H.H. Int. J. Mod. Phys. A (Proc. Suppl.). 3:1993;430.
9. Fateev V.A., Zamolodchikov A.B. Phys. Lett. A. 92:1982;37.
10. Zamolodchikov A.B. Phys. Lett. B. 97:1980;63.
11. K. Symanzik, Lett. Nuovo Cim. Ser. 2 3 (1972) 734.
12. R.J. Baxter, Ann. Phys. 76 (1973) 25, 48.
13. Fateev V.A., Zamolodchikov A.B. Phys. Lett. A. 92:1982;35.
14. Gaudin M. J. Phys. France. 49:1988;1857.
15. Shibukawa Y., Ueno K. Lett. Math. Phys. 25:1992;239.
16. Y. Shibukawa, K. Ueno, Int. J. Mod. Phys. A (Proc. Suppl.) 3A (1993) 309.
17. Y. Shibukawa, K. Ueno, in: M.L. Ge, H.J. de Vega (Eds.), Quantum Groups, Integrable Statistical Models and Knot Theory, World Scientific, Singapore, 1993, p. 302.
18. Shibukawa Y. Comm. Math. Phys. 172:1995;661.
19. Baxter R.J. J. Stat. Phys. 52:1988;639.
20. Matveev V.B., Smirnov A.O. Lett. Math. Phys. 19:1989;179.
21. A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi (Eds.), Higher Transcendental Functions, vol. 1, H. Bateman Manuscript Project, McGraw-Hill, New York, 1953, Ch. I, II.
22. I.S. Gradshteyn, I.M. Ryzhik, A. Jeffrey, Table of Integrals, Series, and Products, 5th ed., Academic Press, London, 1993, Sections 8.3, 9.1, 9.6.
23. A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi (Eds.), Higher Transcendental Functions, vol. 1, H. Bateman Manuscript Project, McGraw-Hill, New York, 1953, Eqs. 2.1.2(6), 2.9(1), (13), (22), (27), and text following 2.9(44).
24. L.J. Slater, Generalized Hypergeometric Functions, Ch. 6, Cambridge Univ. Press, Cambridge, 1966.
25. A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi (Eds.), Higher Transcendental Functions, vol. 1, H. Bateman Manuscript Project, McGraw-Hill, New York, 1953, Eq. 4.5 (7).
26. Sergeev S.M., Mangazeev V.V., Stroganov Yu.G. J. Stat. Phys. 82:1996;31.
27. Searle J.H.C. Mess. Math. 38:1909;138.
28. V.A. Fateev, A.B. Zamolodchikov, Zh. Eksp. Teor. Fiz. 89 (1985) 380 [Sov. Phys. JETP 62 (1985) 215].
29. V.A. Fateev, A.B. Zamolodchikov, Zh. Eksp. Teor. Fiz. 89 (1985) 380 [Sov. Phys. JETP 62 (1985) 215].
30. Alcaraz F.C. J. Phys. A. 20:1987;L623.
31. Albertini G., McCoy B.M. Nucl. Phys. B. 350:1991;745.
32. Cardy J.L. Nucl. Phys. B. 389:1993;577.
33. Baxter R.J. Phys. Lett. A. 146:1990;110.
34. R.J. Baxter, in: S.H. Ahn, I.-T. Cheon, S.H. Choh, C. Lee (Eds.), Proc. 4th Asia-Pacific Physics Conf., vol. 1, World Scientific, Singapore, 1991, p. 42.
35. Baxter R.J. J. Stat. Phys. 82:1996;1219.
36. Albertini G., McCoy B.M., Perk J.H.H., Tang S. Nucl. Phys. B. 314:1989;741.
37. Albertini G., McCoy B.M., Perk J.H.H. Phys. Lett. A. 135:1989;159.
38. G. Albertini, B.M. McCoy, J.H.H. Perk, in: M. Jimbo, T. Miwa, A. Tsuchiya (Eds.), Integrable Systems in Quantum Field Theory and Statistical Mechanics, Advanced Studies in Pure Mathematics, vol. 19, Kinokuniya-Academic, Tokyo, 1989, p. 1.
39. Albertini G., McCoy B.M., Perk J.H.H. Phys. Lett. A. 139:1989;204.
40. Baxter R.J. Phys. Lett. A. 133:1988;185.
41. Baxter R.J. J. Stat. Phys. 57:1989;1.
42. McCoy B.M., Roan S.-S. Phys. Lett. A. 150:1990;347.
43. Baxter R.J. J. Stat. Phys. 73:1993;461.
44. Baxter R.J. J. Phys. A. 27:1994;1837.
45. Au-Yang H., Perk J.H.H. J. Stat. Phys. 78:1995;17.
46. O'Rourke M.J., Baxter R.J. J. Stat. Phys. 82:1996;1.
47. Bazhanov V.V., Stroganov Yu.G. J. Stat. Phys. 59:1990;799.
48. Baxter R.J., Bazhanov V.V., Perk J.H.H. Int. J. Mod. Phys. B. 4:1990;803.
49. I.S. Gradshteyn, I.M. Ryzhik, A. Jeffrey, Table of Integrals, Series, and Products, 5th ed., Academic Press, London, 1993, Eq. 1.411.7.