Quantum Jacobi-Trudi formula and E8 structure in the Ising model in a field

Nuclear Physics B

Volumn 528, Issue 3, 1998, Pages 683-700

  Suzuki, J ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Dilute A3 model; E8 thermodynamic Bethe ansatz; Quantum Jacobi Trudi formula; Quantum transfer matrix

Indexed keywords

EID: 0032555880     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00435-0     Document Type: Article

References (61)

1. [1] A.B. Zamolodchikov, Adv. Stud. Pure. Math. 19 (1989) 641.
2. [2] A.B. Zamolodchikov, Int. J. Mod. Phys. A 4 (1989) 4235.
3. [3] M. Henkel and H. Saleur, J. Phys. A 22 (1989) L513.
4. [4] P.G. Lauwers and V. Rittenberg, Phys. Lett. B 233 (1989) 197
5. [5] I.R. Sagdeev and A.B. Zamolodchikov, Mod. Phys. Lett. B 3 (1989) 1375.
6. [6] G. von Gehlen, Nucl. Phys. B 330 (1990) 741.
7. [7] V.P. Yurov and Al.B. Zamolodchikov, Int. J. Mod. Phys. A 6 (1991) 4556.
8. [8] G. Delfino and G. Musssardo, Nucl Phys. B4 55 ( 1995) 724.
9. [9] S.O. Warnaar, B. Nienhuis and K.A. Seaton, Phys. Rev. Lett. 69 (1992) 710.
10. [10] S.O. Warnaar, B. Nienhuis and K.A. Seaton, Int. J. Mod. Phys. B 7 (1993) 3727.
11. [11] S.O. Warnaar, P.A. Pearce, B. Nienhuis and K.A. Seaton, J. Stat. Phys 74 (1994) 469.
12. [12] M.T. Batchelor, V. Fridkin and Y.K. Zhou, J. Phys. A. 29 (1996) L61.
13. [13] M.T. Batchelor and K.A. Seaton, J. Phys. A 30 (1997) L479.
14. 3 model, hep-th/9712121.
15. [15] B. McCoy and P. Orrick, Phys. Lett. A 230 (1997) 24.
16. [16] V.V. Bazhanov, O. Warnaar and B. Nienhuis, Phys. Lett. B 322 (1994) 198.
17. [17] C.N. Yang, Phys. Rev. Lett. 19 (1967) 1312.
18. [18] R.J. Baxter, Ann. Phys. 76 (1973) 1, 25, 48.
19. [19] R.J. Baxter, Exactly Solved Model in Statistical Mechanics (Academic Press, London, 1982).
20. [20] U. Grimm and B. Nienhuis, Scaling Properties of the Ising model in a field, hep-th 9511174.
21. [21] U. Grimm and B. Nienhuis, Phys. Rev. E 55 (1997) 5011.
22. [22] C.N. Yang and C.P. Yang, J. Math. Phys. 10 (1969) 1115.
23. [23] M. Suzuki, Phys. Rev. B. 31 (1985) 2957.
24. [24] A. Klümper, Ann. Phys. (Berlin) 1 (1992) 540.
25. [25] M. Suzuki and M. Inoue, Prog. Theor. Phys. 78 (1987) 787.
26. [26] T. Koma, Prog. Theor. Phys. 78 (1987) 1213.
27. [27] J. Suzuki, Y. Akutsu and M. Wadati, J. Phys. Soc. Japan 59 (1990) 2667.
28. [28] M. Takahashi, Phys. Rev. B 43 (1991) 5788; see also Phys. Rev. B 44 (1991) 12382.
29. [28] M. Takahashi, Phys. Rev. B 43 (1991) 5788; see also Phys. Rev. B 44 (1991) 12382.
30. [29] J. Suzuki, T. Nagao and M. Wadati, Int. J. Mod. Phys. B 6 (1992) 1119.
31. [30] C. Destri and H.J. de Vega, Phys. Rev. Lett. 69 (1992) 2313.
32. [31] A. Klümper, Z. Phys. B 91 (1993) 507.
33. [32] C. Destri and H.J. de Vega, Nucl. Phys. B 438 (1995) 413.
34. [33] A. Klümper and R.Z. Bariev, Nucl. Phys. B 458 (1996) 623.
35. [34] G. J'uttner and A. Kl'umper, Europhys. Lett. 37 (1997) 335.
36. [35] G. J'uttner, A. Kl'umper and J. Suzuki, Nucl. Phys. B 486 (1997) 650.
37. [36] G. J'uttner, A. Kl'umper and J. Suzuki, J. Phys. A 30 (1997) 1181.
38. [37] A. Klümper, T. Wehner and J. Zittartz, J. Phys. A 30 (1997) 1897.
39. [38] G. J'uttner, A. Kl'umper and J. Suzuki, Nucl. Phys. B 512 (1998) 581.
40. [39] G. J'uttner, A. Kl'umper and J. Suzuki, The Hubbard model at finite temperatures: ab into calculations of Tomonaga-Luttinger liquid property, cond-mat/9711310.
41. [40] A. Kuniba, K. Sakai and J. Suzuki, Continued fraction TBA and functional relations in XXZ model at root of unity, math.QA/9803056.
42. [41] M. Gaudin, Phys. Rev. Lett. 26 (1971) 1301.
43. [42] M. Takahashi, Prog. Theor. Phys. 46 (1971) 401.
44. [43] M. Takahashi and M. Suzuki, Prog. Theor. Phys. 48 (1972) 2187.
45. [44] V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Nucl. Phys. B 489 (1997) 487.
46. [45] P. Fendley, Excited-state energies and supersymmetric indices, hep-th/9706161.
47. [46] V.V. Bazhanov and N. Yu. Reshetikhin, J. Phys. A 23 (1990) 1477.
48. [47] J. Suzuki, Phys. Lett. A 195 (1994) 190.
49. [48] A. Kuniba and J. Suzuki, Comm. Math. Phys. 173 (1995) 225.
50. [49] A. Kuniba, Y. Ohta and J. Suzuki, J. Phys. A 28 (1995) 6211.
51. [50] A. Kuniba, Quantum Jacobi-Trudi formula and analytic Bethe ansatz, in Statistical Models, Yang-Baxter Equation and related Topics, ed. M.L. Ge and F.Y. Wu (World Scientific, Singapore, 1996).
52. [51] P. Dorey, Hidden geometrical structures in integrable models, in Integrable Quantum Field Theories, NATO Advanced Study Seies, Physics V. 310, ed. L. Bonuro et al. (Plenum, New York, 1993).
53. [52] Y.K. Zhou, P.A. Pearce and U. Grimm, Physica A 222 (1995) 261.
54. [53] A.G. Izergin and V.E. Korepin, Comm. Math. Phys. 79 (1981) 303.
55. [54] R.J. Baxter and P.A. Pearce, J. Phys. A 15 (1982) 897.
56. [55] A. Klümper and P.A. Pearce, Physica A 183 (1992) 304.
57. [56] A. Kuniba, T. Nakanishi and J. Suzuki, Int. J. Mod. Phys. A 9 (1994) 5215, 5267.
58. [57] Y.K. Zhou, private communication.
59. [58] Al.B. Zamolodchikov, Phys. Lett. B 253 (1991) 391.
60. [59] A. Kuniba and J. Suzuki, unpublished (1994).
61. 8 mass spectra, hep-th/9803206.