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Theoretical and Mathematical Physics

, Volume 9, Issue 2, pp 1086–1100 | Cite as

Constructive field theory: Thirring model interaction\((\tilde \psi \gamma \mu \tilde \psi )_2^2 \) I. local field

  • I. V. Volovich
  • V. N. Sushko
Article

Keywords

Field Theory Model Interaction Local Field Constructive Field Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

  1. 1.
    J. Glimm and A. Jaffe, Phys. Rev.,176, 1945 (1968); Ann Math.,91, 362 (1970).Google Scholar
  2. 2.
    J. Cannon and A. Jaffe, Commun. Math. Phys.,17, 261 (1970).Google Scholar
  3. 3.
    J. Glimm and A. Jaffe, Ann. Phys.,60, 321 (1970); J. Funct. Analysis (to appear).Google Scholar
  4. 4.
    A. D. Sukhanov, Zh. Eksp. Teor. Fiz.,47, 1303 (1964);48, 538 (1965).Google Scholar
  5. 5.
    J. Glimm, Commun. Math. Phys.,10, 1 (1968).Google Scholar
  6. 6.
    K. Osterwalder, Boson Fields with the λ Φ3-Interaction in Two, Three, and Four Dimensions.Google Scholar
  7. 7.
    K. Hepp, Systems à un Nombre Infini de Degres de Liberté, Springer-Verlag (1970).Google Scholar
  8. 8.
    K. O. Friedrichs, Perturbation of Spectra in Hilbert Space, AMS, Providence, Rhode Island (1965).Google Scholar
  9. 9.
    L. D. Faddeev, Dokl. Akad. Nauk SSSR,152, 573 (1963).Google Scholar
  10. 10.
    W. Thirring, Ann. Phys.,3, 91 (1958).Google Scholar
  11. 11.
    K. Johnson, Nuovo Cimento,20, 773 (1961).Google Scholar
  12. 12.
    F. A. Berezin, Matem. Sb.,76, 1 (1968).Google Scholar
  13. 13.
    A. S. Wightman, Problems in the Relativistic Dynamics of Quantized Fields [Russian translation], Nauka (1968).Google Scholar
  14. 14.
    D. C. Mattis and E. H. Lieb, J. Math. Phys.,6, 304 (1965).Google Scholar
  15. 15.
    D. A. Uhlenbrock, Commun. Math. Phys.,4, 64 (1967).Google Scholar
  16. 16.
    V. N. Likhachev and V. N. Sushko, Zh. Éksperim. Teor. Fiz. Pis. Red.,5, 376 (1967).Google Scholar
  17. 17.
    A. Theumann, J. Math. Phys.,8, 2460 (1967).Google Scholar
  18. 18.
    B. Klaiber, Boulder Lectures of Theoretical Physics (1967).Google Scholar
  19. 19.
    F. A. Berezin, The Method of Second Quantization. Pure and Appl. Physics., Vol. 24, New York (1966). [The pagination refers to the Russian original (Nauka, 1965)].Google Scholar
  20. 20.
    J. von Neumann, Comp. Math.,6, 1 (1938).Google Scholar
  21. 21.
    O. I. Zav'yalov and V. N. Sushko, Teor. Mat. Fiz.,1, 153 (1969).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • I. V. Volovich
  • V. N. Sushko

There are no affiliations available

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