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Hamiltonian Methods in Conformal Field Theory

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Mathematical Physics X

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Abstract

Conformai Field Theory (CFT) existed for a long time on the periphery of Quantum Field Theory (QFT). It got a very strong boost by the bootstrap programm of Belavin, Polyakov and Zamolodchikov [1]. Hundreds of papers were published since. CFT has conscripted new young and revolutionary devoters (call them the conformists to distinguish from die konformisten). New terminology and methodology, e.g. primary fields, vertex operators, operator expansion, mixing of states and operators is indispensable for the paper on CFT.

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References

  1. Belavin, A., Polyakov, A., Zamolodchikov, A.: Nuclear Phys. B 241, 333 (1984)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  2. Alekseev, A., Statashvili, S.: Nuclear Phys. B 323, 719 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  3. Witten, E.: Comm.Math.Phys. 92, 451 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  4. Wess, J., Zumino, B.: Phys.Rev. B 37, 95 (1971)

    MathSciNet  Google Scholar 

  5. Novikov, S.: Uspekhi Mat.Nauk 37, 3 (1982)

    Google Scholar 

  6. Alekseev, A., Faddeev, L.: MIT preprint CTP N1957 (1991) (to be published in Comm.Math.Phys.)

    Google Scholar 

  7. Blok, B.: Phys.Lett. B 233, 359 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  8. Faddeev, L.: Comm.Math.Phys. 132, 131 (1990)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  9. Alekseev, A., Statashvili, S.: Comm.Math.Phys. 133, 353 (1990)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  10. Tsuchiya, A., Kanie, Y.: Adv.Stud.Pure Math. 16, 297 (1988)

    MathSciNet  Google Scholar 

  11. Kohno, T.: Ann.Inst.Fourier (Grenoble) 37, 4 (1987)

    Article  MathSciNet  Google Scholar 

  12. Gawedsky, K.: Preprint IHES (1990)

    Google Scholar 

  13. Chu, M., Goddard, P., Halliday, L., Olive, D., Schwimmer, A.: Phys.Lett. B 266, 71 (1991)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  14. Alekseev, A., Faddeev, L., Semenov-Tjan-Shansky, M., Volkov, A.: Preprint CERN-TH-5981/91 (1991)

    Google Scholar 

  15. Faddeev, L., Takhtajan, L.: Hamiltonian Methods in the Theory of Solitons. Springer (1987)

    Book  MATH  Google Scholar 

  16. Sklyanin, E., Takhtajan, L., Faddeev, L.: Theoret.and Math.Phys. 40, 688 (1980)

    Article  MATH  ADS  Google Scholar 

  17. Faddeev, L.: Les Hauches lecture in: Recent Advances in Field Theory. R. Stora, J-B. Zuber (eds.), Amsterdam, North-Holland (1984)

    Google Scholar 

  18. Reshetikhin, N., Semenov-Tjan-Shansky, M.: Lett.Math.Phys. 19, 133 (1990)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  19. Alekseev, A., Faddeev, L., Semenov-Tjan-Shansky, M.: LOMI preprint E-5–91 (1991)

    Google Scholar 

  20. Mack, G., Schomerus, V.: Preprint DESY 91–037 (1991)

    Google Scholar 

  21. Smirnov, F.: Formfactors in Completely Integrable Models of Quantum Field Theory. World Scientific (to be published)

    Google Scholar 

  22. Smirnov, F.: Preprint RIMS-772 (1991)

    Google Scholar 

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Authors and Affiliations

  1. Steklov Mathematical Institute, St.Petersburg and Research Institute in Theoretical Physics, Helsinki University, Helsinki, Finland

    L. D. Faddeev

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  1. L. D. Faddeev
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik, Universität Leipzig, Augustusplatz 10, O-7010, Leipzig, Germany

    Konrad Schmüdgen

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© 1992 Springer-Verlag Berlin Heidelberg

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Faddeev, L.D. (1992). Hamiltonian Methods in Conformal Field Theory. In: Schmüdgen, K. (eds) Mathematical Physics X. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77303-7_10

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  • DOI: https://doi.org/10.1007/978-3-642-77303-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77305-1

  • Online ISBN: 978-3-642-77303-7

  • eBook Packages: Springer Book Archive

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