Algebraic solution of the Hubbard model on the infinite interval

Nuclear Physics B

Volumn 512, Issue 3, 1998, Pages 637-677

  Murakami, Shuichi ^a   Göhmann, Frank ^b,c  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF BAYREUTH   (Germany)

^c STONY BROOK UNIVERSITY   (United States)

Author keywords

Hubbard model; Quantum inverse scattering; Yangian; Zamolodchikov Faddeev algebra

Indexed keywords

EID: 0032559520     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00793-1     Document Type: Article

References (72)

1. [1] L.A. Takhtajan and L.D. Faddeev, Russ. Math. Surv. 34 (1979) 11.
2. [2] P.P. Kulish and E.K. Sklyanin, J. Sov. Math. 19 (1982) 1596.
3. [3] P.P. Kulish and E.K. Sklyanin, Lecture Notes in Physics 151 (Springer, Berlin, 1982) p. 61.
4. [4] M. Jimbo, ed., Yang-Baxter Equation in Integrable Systems (World Scientific, Singapore, 1990).
5. [5] V.E. Korepin, N.M. Bogoliubov and A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge Univ. Press, Cambridge, 1993).
6. [6] F.A. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory (World Scientific, Singapore, 1992).
7. [7] M. Jimbo and T. Miwa, Algebraic Analysis of Solvable Lattice Models (American Mathematical Society, 1995).
8. [8] V.E. Korepin and F.H.L. Eßler, ed., Exactly Solvable Models of Strongly Correlated Electrons (World Scientific, Singapore, 1994).
9. [9] A.M. Tsvelick and P.B. Wiegmann, Adv. Phys. 32 (1983) 453.
10. [10] N. Andrei, K. Furuya and J.H. Lowenstein, Rev. Mod. Phys. 55 (1983) 331.
11. [11] E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20 (1968) 1445.
12. [12] C.N. Yang, Phys. Rev. Lett. 19 (1967) 1312.
13. [13] M. Gaudin, Phys. Lett. A 24 (1967) 55.
14. [14] B.S. Shastry, Phys. Rev. Lett. 56 (1986) 1529.
15. [15] B.S. Shastry, Phys. Rev. Lett. 56 (1986) 2453.
16. [16] B.S. Shastry, J. Stat. Phys. 50 (1988) 57.
17. [17] M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Jpn. 56 (1987) 1340.
18. [18] E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Jpn. 56 (1987) 2298.
19. [19] E. Olmedilla and M. Wadati, Phys. Rev. Lett. 60 (1988) 1595.
20. [20] V.O. Tarasov, Theor. Math. Phys. 76 (1988) 793.
21. [21] A.G. Izergin and V.E. Korepin, Commun. Math. Phys. 79 (1981) 303.
22. [22] P.B. Ramos and M.J. Martins, J. Phys. A: Math. Gen. A 30 (1997) L195.
23. [23] S. Murakami and F. Göhmann, Phys. Lett. A 227 (1997) 216.
24. [24] S. Murakami and M. Wadati, J. Phys. Soc. Jpn. 65 (1996) 1227.
25. [25] S. Murakami and M. Wadati, J. Phys. A; Math. Gen. 29 (1996) 7903.
26. [26] L.D. Faddeev, Sov. Sci. Rev. Math. Phys. C 1 (1980) 107.
27. [27] H.B. Thacker, Rev. Mod. Phys. 53 (1981) 253.
28. [28] E.K. Sklyanin, J. Sov. Math. 19 (1982) 1546.
29. [29] L.D. Faddeev and L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons (Springer, Berlin, 1987).
30. [30] D.B. Creamer, H.B. Thacker and D. Wilkinson, Phys. Rev. D 21 (1980) 1523.
31. [31] F. Göhmann and S. Murakami, J. Phys. A: Math. Gen. 30 (1997) 5269.
32. [32] M. Takahashi, Prog. Theor. Phys. 47 (1972) 69.
33. [33] F.H.L. Eßler, V.E. Korepin and K. Schoutens, Phys. Rev. Lett. 67 (1991) 3848; Nucl. Phys. B 372 (1992) 559; B 384 (1992) 431.
34. [33] F.H.L. Eßler, V.E. Korepin and K. Schoutens, Phys. Rev. Lett. 67 (1991) 3848; Nucl. Phys. B 372 (1992) 559; B 384 (1992) 431.
35. [33] F.H.L. Eßler, V.E. Korepin and K. Schoutens, Phys. Rev. Lett. 67 (1991) 3848; Nucl. Phys. B 372 (1992) 559; B 384 (1992) 431.
36. [34] O.J. Heilmann and E.H. Lieb, Ann. NY Acad. Sci. 172 (1971) 583.
37. [35] C.N. Yang, Phys. Rev. Lett. 63 (1989) 2144; C.N. Yang and S.C. Zhang, Mod. Phys. Lett. B 4 (1990) 759.
38. [35] C.N. Yang, Phys. Rev. Lett. 63 (1989) 2144; C.N. Yang and S.C. Zhang, Mod. Phys. Lett. B 4 (1990) 759.
39. [36] R. Yue and T. Deguchi, J. Phys. A: Math. Gen. 30 (1997) 849.
40. [37] F.D.M. Haldane, in Proc. of the 16th Taniguchi Symposium on Condensed Matter Physics (Springer, Berlin, 1994).
41. [38] D. Bernard, M. Gaudin, F.D.M. Haldane and V. Pasquier, J. Phys. A 26 (1993) 5219.
42. [39] V.G. Drinfeld, in Proc. of the 1986 International Congress of Mathematics (American Mathematical Society, Berkeley, 1986).
43. [40] V. Chari and A.N. Pressley, L'Enseignement Mathématique 36 (1990) 267; J. Reine, Angew. Math. 417 (1991) 87.
44. [40] V. Chari and A.N. Pressley, L'Enseignement Mathématique 36 (1990) 267; J. Reine, Angew. Math. 417 (1991) 87.
45. [41] V. Chari and A.N. Pressley, A Guide to Quantum Groups (Cambridge Univ. Press. Cambridge, 1994).
46. [42] D.B. Uglov and V.E. Korepin, Phys. Lett. A 190 (1994) 238.
47. [43] F. Göhmann and V. Inozemtsev, Phys. Lett. A 214 (1996) 161.
48. [44] H. Grosse, Lett. Math. Phys. 18 (1989) 151.
49. [45] M.P. Grabowski and P. Mathieu, Ann. Phys. 243 (1995) 299.
50. [46] F.H.L. Eßler and V.E. Korepin, Phys. Rev. Lett 72 (1994) 908; Nucl. Phys. B 426 (1994) 505.
51. [46] F.H.L. Eßler and V.E. Korepin, Phys. Rev. Lett 72 (1994) 908; Nucl. Phys. B 426 (1994) 505.
52. [47] M. Shiroishi, H. Ujino and M. Wadati, preprint cond-mat/9708064 (1997).
53. [48] A. Polychronakos, Phys. Rev. Lett. 69 (1992) 703; J.A. Minahan and A. Polychronakos, Phys. Lett. B 302 (1993) 265.
54. [48] A. Polychronakos, Phys. Rev. Lett. 69 (1992) 703; J.A. Minahan and A. Polychronakos, Phys. Lett. B 302 (1993) 265.
55. [49] F.C. Pu, Y.Z. Wu and B.H. Zhao, J. Phys. A: Math. Gen. 20 (1987) 1173.
56. [50] A.B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. 120 (1979) 253.
57. [51] I.M. Khamitov, Theor. Math. Phys. 62 (1985) 217: 63 (1985) 486; J. Sov. Math. 40 (1988) 115.
58. [51] I.M. Khamitov, Theor. Math. Phys. 62 (1985) 217: 63 (1985) 486; J. Sov. Math. 40 (1988) 115.
59. [51] I.M. Khamitov, Theor. Math. Phys. 62 (1985) 217: 63 (1985) 486; J. Sov. Math. 40 (1988) 115.
60. [52] C. Gömez, M. Ruiz-Altaba and G. Sierra, Quantum Groups in Two-Dimensional Physics (Cambridge Univ. Press, Cambridge, 1996).
61. [53] V.E. Korepin, Theor. Math. Phys. 76 (1980) 165.
62. [54] N. Andrei and J.H. Lowenstein, Phys. Lett. B 91 (1980) 401.
63. [55] A. LeClair and F.A. Smirnov, Int. J. Mod. Phys. A 7 (1992) 2997.
64. [56] M. Göckeler, Z. Phys. C: Particles and Fields 7 (1981) 263; 11 (1981) 125; Y.K. Zhou, Z. Phys. C: Particles and Fields 39 (1988) 215.
65. [56] M. Göckeler, Z. Phys. C: Particles and Fields 7 (1981) 263; 11 (1981) 125; Y.K. Zhou, Z. Phys. C: Particles and Fields 39 (1988) 215.
66. [56] M. Göckeler, Z. Phys. C: Particles and Fields 7 (1981) 263; 11 (1981) 125; Y.K. Zhou, Z. Phys. C: Particles and Fields 39 (1988) 215.
67. [57] K. Sogo and M. Wadati, Prog. Theor. Phys. 69 (1983) 431.
68. [58] P.P. Kulish and E.K. Sklyanin, Phys. Lett. A 70 (1979) 461.
69. [59] P.P. Kulish and F.A. Smirnov, Phys. Lett. A 90 (1982) 74; J. Phys. C 18 (1985) 1037.
70. [59] P.P. Kulish and F.A. Smirnov, Phys. Lett. A 90 (1982) 74; J. Phys. C 18 (1985) 1037.
71. [60] Y.K. Zhou, Z. Phys. C: Particles and Fields 39 (1988) 215; F.C. Pu and B.H. Zhao, Nucl. Phys. B 275 (1986) 77.
72. [60] Y.K. Zhou, Z. Phys. C: Particles and Fields 39 (1988) 215; F.C. Pu and B.H. Zhao, Nucl. Phys. B 275 (1986) 77.