Abstract
Integrable QFT and statistical models are briefly reviewed paying special attention to the algebric structures responsable of their solvability YBZF algebras (also called Quantum groups)
The light-cone lattice approach here exposed naturally associates an ntegrabie massive QFT to a gapless lattice model in the scaling limit, Alternative scaling limits yielding conformal invariant theoories are also reviewed.
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References
L. D. Faddeev and L.A. Takhtadzhyan, Russ. Math. Surveys, 334 11 (1979). L.D. Faddeev, les Houches lectures, (1982), North Holland.
P.P. Kulish and E.K. Sklyanin, in : Springer Lectures in Physics, vol. 151 (1981).
H.J. de Vega. Lectures in the Sâo Paulo School, september 1987,
R. Ward, Phys. Lett. 61A, 81 (1977)
A.A. Belavin and V.E. Zakharov, Phys. Lett 73B, 53 (1978)
M.F Atiyah, “Geometry of Yang-Milis Fields”, Lezione Fermiane, Pisa (1979).
H. J. de Vega, CERN preprint TH 4817 to appear in Comm. Math. Phys.
E. Witten, Nuci. Phys. B 266, 245 (1985)
E. Witten, Phys. Lett. 77 B, 394 (1978)
J. Avan and H.J. de Vega, LPTHE preprint 86-23 to appear in int. J. of Mod. Phys.
A.B. Zamolodchikov, JETP 52, 325 (1980)
A.B. Zamolodchikov, Comm. Math. Phys. 79, 489 (1981)
R.J. Baxter, Comm. Math. Phys. 88, 185 (1983)
V. G. Drinfeid, Doki. Akad. Nauk. 32, 254 (1985)
H.J. de Vega, Phys. Lett. B 177 171 (1986)
A.A. Belavin, Nucl. Phys. B 180, 189 (1981)
O. Babelon, H.J. de Vega and C.M. Viallet, Nuel. Phys. B 190, 542 (1981).
O. Babelon, H.J. de Vega and C.M. Viallet, Nucl. Phys. B 200, 266 (1982).
T.T. Truong and K.D. Schotte, Nuci. Phys. B 220, 77 (1983) and B 230, 1 (1984).
M. F. Weiss and K.D. Schotte, Nuci. Phys. B 225, 247 (1983).
C. Destri and H.J. de Vega, Nucl. Phys. B 290, 363 (1987).
L.V. Avdeev and M.V. Chizov, Phys, Lett. B 184, 363 (1987).
C. Destri and H.J de Vega, CERN-TH preprint 4895/87.
L.A. Takhtadzhyan. Journal of .Sov. Math. 2470 (1983)
N.Y. Reshetikhin, Theor. Math. Phys. 63, 555 (1986).
H.J. de Vega and M. Karowski. Nucl. Phys. B 280, 225 (1987).
H.J. de Vega, J. Phys. A 20, 6023 (1987).
I L. D. Faddeev and N.Y. Reshetikhin, Ann. Phys 167, 227 (1986).
C. Destri and HiJ de Vega, CERN preprint TH 4893/87 to be published in Phys. Lett. 6.
P.P. Kulish, N.Y. Reshetikhin and E.K. Sklyanin, L11P 5, 393 (1981).
H.J. de Vega and F. Woynaroyich, Nuci. Phys. B 439 (1985).
H.P. Eckle and F. Wovnarovich, J. Phys. A 20, L97 (1987).
H.J. de Vega and H. Karowski, Nuc I. Phys. B 285, 619, (1987).
F. Wovnarovich. Phys. Rev. Lett. 59, 259 (1987)
J. Karowski, Brasov Lectures (1987).
C. J. Harrier, Quispel and M.J. Batcnelor. Canberra preprint 9/87. See also ref [31].
See for a review E. Date, H. Jimbo, T. Miwa and M. Okado, R1115–590. Kyoto preprint, 1987.
E. Ogievetsky, and PB. Wiegmann, Phys. Lett. B 168, 360 (1986)
H. M. Babulian, Nucl. Phys. B 215, 317 (1983)
I. Affleck, PRL 56, 746 (1986).
P. Goddard and D. Olive, Int. J. of Mod. Phys. A1, 303 (1987).
V.A. Fateev and A. B. Zamoiodchikov, Nuci. Phys. B 280, 644 (1987).
H.J de Vega. LPTHE preprint 88/033
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de Vega, H.J. (1988). Quantum Groups (YBZF Algebras) and Integrable Theories: An Overview. In: Bleuler, K., Werner, M. (eds) Differential Geometrical Methods in Theoretical Physics. NATO ASI Series, vol 250. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7809-7_11
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DOI: https://doi.org/10.1007/978-94-015-7809-7_11
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