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Part of the book series: NATO Advanced Study Institutes Series ((ACPH,volume 82))

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Abstract

The triangular relations [l–3] (also called factorization equations or Yang-Baxter equations)

are the clue of the resolution of two-dimensional interable models in quantum field theory and statistical mechanics[3,4,5]. In (1) the indices run from one to N, S ijkl are N4 functions (in general complex) of the variable O. The physical interpretation of the S ijkl depends on the context where they are considered.

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References

  1. C.N. YANG, Phys. Rev. Lett. 1312 (1967)

    Article  ADS  Google Scholar 

  2. R.J. BAXTER, Ann. Phys. 70 173 and 323 (1972)

    ADS  Google Scholar 

  3. A.B. ZAMOLODCHIKOV and AI. B. ZAMOLODCHIKOV, Ann. Phys. 80, 253 (1979)

    MathSciNet  ADS  Google Scholar 

  4. M. KAROWSKI, Phys. Reports 49C, 229 (1979)

    Article  ADS  Google Scholar 

  5. L.D. FADDEEV, lectures in this summer school

    Google Scholar 

  6. L.D. FADDEEV, Soviet Scientific Reviews (section C) 1 107 (1980)

    MATH  Google Scholar 

  7. P.P. KULISH and E.K. SKLIANIN, Tvärminne lectures. J. Hietarinta and C. Montonen eds. Springer Verlag

    Google Scholar 

  8. P.P. KULISH and E.K. SKLIANIN, Zapisky Nauchny Seminarov LOMI 95, 129 (1980).

    Google Scholar 

  9. R.J. BAXTER, Fundamental Problems in Statistical Mechanics, Vol. V p. 109. E.G.O. Cohen editor (1980)

    Google Scholar 

  10. Yu. G. STROGANOV, Phys. Lett. 74A, 116 (1979)

    MathSciNet  ADS  Google Scholar 

  11. A.B. ZAMOLODCHIKOV, Comm. Math. Phys. 69, 165 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  12. R. SHANKAR, Yale preprint, YTP-81–21, 1981

    Google Scholar 

  13. A.V. MIKHAILOV, ZhETF Pis 30, 443 (1979); JETP Lett. 30, 414 (1980.

    Google Scholar 

  14. A.N. LEZNOV and M.V. SAVELIEV, Lett. Mat. Phys. 3, 489 (1979).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. S.A. BULGADAEV, Phys. Lett. 96B, 151 (1980)

    MathSciNet  ADS  Google Scholar 

  16. O. BABELON, H.J. DE VEGA and C.M. VIALLET, Nucl. Phys. B (FS), B190, 542 (1981).

    Article  ADS  Google Scholar 

  17. E.K. SKLIANIN, L.A. TAKHTADZHYAN and L.D. FADDEEV, Teor. Mat. Fiz. 40, 194 (1979); Theor. Math. Phys. 4D, 688 (1980)

    Google Scholar 

  18. O.BABELON, H.J. DE VEGA ANH C. M. VIALLET, Paris Preprint, LPTHE 81/09, nucl. Phys. B (FS) (to be published).

    Google Scholar 

  19. See for example E.A. Lieb and F.Y. Wu in Phase Transitions and Critical Phenomena, vol. 1; Ed. by C. Domb and M.S. Green 1972.

    Google Scholar 

  20. B.SUTHERLAND, phys. Rev. B12, 3795 (1975)

    ADS  Google Scholar 

  21. P.P KULISH AND N.Yu. RESHETIKHIN, ZhETF 80, 214 (1981)

    MathSciNet  Google Scholar 

  22. O.BABELON, H.J. de VEGA AND C.M. VIALLET (in preparation)

    Google Scholar 

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© 1983 Plenum Press, New York

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de Vega, H. (1983). Some New Integrable Models in Field Theory and Statistical Mechanics. In: Honerkamp, J., Pohlmeyer, K., Römer, H. (eds) Structural Elements in Particle Physics and Statistical Mechanics. NATO Advanced Study Institutes Series, vol 82. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3509-2_9

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  • DOI: https://doi.org/10.1007/978-1-4613-3509-2_9

  • Publisher Name: Springer, Boston, MA

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