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Correlation Functions in 2-Dimensional Integrable Quantum Field Theories

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Integrable Quantum Field Theories

Part of the book series: NATO ASI Series ((NSSB,volume 310))

Abstract

In this talk I discuss the form factor approach used to compute correlation functions of integrable models in two dimensions. The Sinh-Gordon model is our basic example. Using Watson’s and the recursive equations satisfied by matrix elements of local operators, I present the computation of the form factors of the elementary field Ø(x)and the stress-energy tensor T μν (x)of the theory.

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References

  1. A. Fring, G. Mussardo and P. Simonetti, Form Factors for Integrable Lagrangian Field Theories, the Sinh-Gordon Model,ISAS/EP/92–146, Imperial/TP/9192/31, to appear on Nucl. Phys. B.

    Google Scholar 

  2. A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Nucl. Phys. B241 (1984), 333.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Vl.S. Dotsenko and V.A. Fateev, Nucl. Phys. B240 [FS 12] (1984), 312; Nucl. Phys. B251 [FS 13] (1985), 691; Phys. Lett. B 154 (1985), 291.

    Google Scholar 

  4. C. Itzykson, H. Saleur and J.B. Zuber, Conformal Invariance and Applications to Statistical Mechanics, ( World Scientific, Singapore 1988 ).

    MATH  Google Scholar 

  5. A.B. Zamolodchikov, Al.B. Zamolodchikov, Ann.Phys. 120 (1979) 253.

    Google Scholar 

  6. A.B. Zamolodchikov, in Advanced Studies in Pure Mathematics 19 (1989), 641; Int. J. Mod. Phys. A3 (1988), 743.

    Article  MathSciNet  ADS  Google Scholar 

  7. R. Köberle and J.A. Swieca, Phys. Lett. 86B (1979), 209; A.B. Zamolodchikov, Int. J. Mod. Phys. A3 (1988), 743; V. A. Fateev and A.B. Zamolodchikov, Int. J. Mod. Phys. A5 (1990), 1025.

    Google Scholar 

  8. J.L. Cardy, G. Mussardo, Phys. Lett. B225 (1989), 275.

    MathSciNet  Google Scholar 

  9. G. Mussardo, Phys. Rep. 218 (1992), 215.

    Article  MathSciNet  ADS  Google Scholar 

  10. A.E. Arinshtein, V.A. Fateev and A.B. Zamolodchikov, Phys. Lett. 87B (1979), 389.

    Google Scholar 

  11. P. Christe and G. Mussardo, Nucl.Phys. B B330 (1990), 465; P. Christe and G. Mussardo Int. J. Mod. Phys. A5 (1990), 1025; H. W. Braden, E. Corrigan, P. E. Dorey, R. Sasaki, Nucl. Phys. B338 (1990), 689; H. W. Braden, E. Corrigan, P. E. Dorey, R. Sasaki, Nucl. Phys. B356 (1991), 469.

    Google Scholar 

  12. K.M. Watson, Phys. Rev. 95 (1954), 228.

    Article  ADS  MATH  Google Scholar 

  13. B. Berg, M. Karowski, P. Weisz, Phys. Rev. D19 (1979), 2477; M. Karowski, P. Weisz, Nucl. Phys. B139 (1978), 445; M. Karowski, Fhys. Rep. 49 (1979), 229;

    Article  Google Scholar 

  14. F. A. Smirnov, in Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory, Nankai Lectures on Mathematical Physics, World Scientific 1990.

    Google Scholar 

  15. F.A. Smirnov, J. Phys. A17 (1984), L873; F.A. Smirnov, J. Phys. A19 (1984), L575; A.N. Kirillov and F.A. Smirnov, Phys. Lett. B198 (1987), 506; A.N. Kir-illov and F.A. Smirnov, Int. J. Mod. Phys. A3 (1988), 731.

    Article  ADS  Google Scholar 

  16. F.A. Smirnov, Nucl. Phys. B337 (1989), 156; Int. J. Mod. Phys. A4 (1989), 4213.

    Article  ADS  Google Scholar 

  17. V.P. Yurov and Al. B. Zamolodchikov, Int. J. Mod. Phys. A6 (1991), 3419.

    Article  MathSciNet  ADS  Google Scholar 

  18. Al.B. Zamolodchikov, Nucl. Phys. B348 (1991), 619.

    Article  MathSciNet  ADS  Google Scholar 

  19. J.L. Cardy and G. Mussardo, Nucl. Phys. B340 (1990), 387.

    Article  MathSciNet  ADS  Google Scholar 

  20. A.V. Mikhailov, M.A. Olshanetsky and A.M. Perelomov, Comm. Math. Phys. 79 (1981), 473.

    Article  MathSciNet  ADS  Google Scholar 

  21. O. Babelon and L. Bonora, Phys. Lett. B244 (1990), 220.

    MathSciNet  Google Scholar 

  22. P. Mansfield, Nucl. Phys. B222 (1983), 419.

    Article  MathSciNet  ADS  Google Scholar 

  23. R. Sasaki and I. Yamanaka, in Advanced Studies in Pure Mathematics 16 (1988), 271.

    MathSciNet  Google Scholar 

  24. L.D. Faddev and L.A. Takhtajan, Hamiltonian Method in the Theory of Solitons, ( Springer, N.Y., 1987 ).

    Book  Google Scholar 

  25. I.G. MacDonald, Symmetric Functions and Hall Polynomials ( Clarendon Press, Oxford, 1979 ).

    MATH  Google Scholar 

  26. A.B. Zamolodchikov, JEPT Lett. 43 (1986), 730.

    MathSciNet  ADS  Google Scholar 

  27. J.L. Cardy, Phys. Rev. Lett. 60 (1988), 2709.

    Google Scholar 

  28. A. Cappelli, D. Friedan and J.L. Latorre, Nuci. Phys. B352 (1991), 616.

    Article  MathSciNet  ADS  Google Scholar 

  29. D.Z. Freedman, J.I. Latorre and X. Vilasis, Mod. Phys. Lett. A6 (1991), 531.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Mussardo, G. (1993). Correlation Functions in 2-Dimensional Integrable Quantum Field Theories. In: Bonora, L., Mussardo, G., Schwimmer, A., Girardello, L., Martellini, M. (eds) Integrable Quantum Field Theories. NATO ASI Series, vol 310. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1516-0_14

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  • DOI: https://doi.org/10.1007/978-1-4899-1516-0_14

  • Publisher Name: Springer, Boston, MA

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