Hubbard models as fusion products of free fermions

International Journal of Modern Physics B

Volumn 12, Issue 19, 1998, Pages 1893-1906

  Maassarani, Z ^a  

^a UNIVERSITÉ LAVAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010183577     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979298001095     Document Type: Article

References (32)

1. M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963); J. Hubbard, Proc. Roy. Soc. A276, 238 (1963).
2. M. C. Gutzwiller, Phys. Rev. Lett. 10, 159 (1963); J. Hubbard, Proc. Roy. Soc. A276, 238 (1963).
3. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. 20, 1445 (1968).
4. M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Jpn. 56, 1340 (1987); E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Jpn. 56, 2298 (1987); B. S. Shastry, Phys. Rev. Lett. 56, 1529 (1986); Phys. Rev. Lett. 56, 2453 (1986).
5. M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Jpn. 56, 1340 (1987); E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Jpn. 56, 2298 (1987); B. S. Shastry, Phys. Rev. Lett. 56, 1529 (1986); Phys. Rev. Lett. 56, 2453 (1986).
6. M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Jpn. 56, 1340 (1987); E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Jpn. 56, 2298 (1987); B. S. Shastry, Phys. Rev. Lett. 56, 1529 (1986); Phys. Rev. Lett. 56, 2453 (1986).
7. M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Jpn. 56, 1340 (1987); E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Jpn. 56, 2298 (1987); B. S. Shastry, Phys. Rev. Lett. 56, 1529 (1986); Phys. Rev. Lett. 56, 2453 (1986).
8. For reviews on QISM and the Hubbard model see Proceedings of the Panchgani Winter School eds. B. S. Shastry, S. S. Jha and V. Singh, Lectures Notes in Physics Vol. 242, (Springer-Verlag, Berlin 1985).
9. L. D. Faddeev in Recent Advances in Field Theory and Statistical Mechanics, Les Houches (1982); L. A. Takhtajan and L. D. Faddeev, Rus. Math. Sur. 34, 11 (1979).
10. L. D. Faddeev in Recent Advances in Field Theory and Statistical Mechanics, Les Houches (1982); L. A. Takhtajan and L. D. Faddeev, Rus. Math. Sur. 34, 11 (1979).
11. H. B. Thacker, Rev. Mod. Phys. 53, 253 (1981); H. J. de Vega, Int. J. Mod. Phys. A4, 2371 (1989).
12. H. B. Thacker, Rev. Mod. Phys. 53, 253 (1981); H. J. de Vega, Int. J. Mod. Phys. A4, 2371 (1989).
13. Z. Maassarani, Phys. Lett. A239, 187 (1998).
14. Z. Maassarani, Mod. Phys. Lett. B. 12 (1998) 51-56.
15. R. Yue and R. Sasaki, Lax pair for SU(n) Hubbard model, YITP-98-5, condmat/9801193.
16. Z. Maassarani and P. Mathieu, Nucl. Phys. B517, 395 (1998).
17. P. P. Kulish and E. K. Sklyanin, Integrable Quantum Field Theories, Springer Lecture Notes in Physics 151, 61 (1982), eds. J. Hietarinta and C. Montonen.
18. T. Kennedy, J. Phys. A25, 2809 (1992).
19. M. P. Grabowski and P. Mathieu, J, Phys. A28, 4777 (1995).
20. H. N. V. Temperley and E. H. Lieb, Proc. Roy. Soc. A322, 251 (1971).
21. B. S. Shastry, J. Stat. Phys. 50, 57 (1988).
22. M. Shiroishi and M. Wadati, J. Phys. Soc. Jpn. 64, 57 (1995).
23. I. Korepanov, Commun. Math. Phys. 154, 85 (1993), Mod. Phys. Lett. B3, 201 (1989).
24. I. Korepanov, Commun. Math. Phys. 154, 85 (1993), Mod. Phys. Lett. B3, 201 (1989).
25. C. Gemez and G. Sierra Phys. Lett. B285, 126 (1992).
26. F. C. Alcaraz, D. Arnaudon, V. Rittenberg and M. Scheunert, Int. J. Mod. Phys. A9, 3473 (1994), hep-th/9307103.
27. M. G. Tetelman, Sov. Phys. JETP 55, 306 (1981); H. B. Thacker, Physica D18, 348 (1986).
28. M. G. Tetelman, Sov. Phys. JETP 55, 306 (1981); H. B. Thacker, Physica D18, 348 (1986).
29. M. P. Grabowski and P. Mathieu, Ann. Phys. 243, 299 (1995).
30. R. Z. Bariev, J. Phys. A24, L549 (1991), J. Phys. A24, L919 (1991).
31. R. Z. Bariev, J. Phys. A24, L549 (1991), J. Phys. A24, L919 (1991).
32. Work in progress.