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Method of extended S-matrix in quantum field theory

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Literature Cited

  1. G. Wentzel, Quantum Theory of Fields, New York (1949).

  2. S. Tomonaga, Progr. Theor. Phys.,1, 27 (1946).

    Google Scholar 

  3. J. Schwinger, Phys. Rev.,74, 1439 (1948).

    Google Scholar 

  4. N. Bohr and L. Rosenfeld, Kgl. Dan. Vid. Selsk., Math.-Phys. Medd.,12, No. 8 (1933); Phys. Rev.,78, 744 (1950).

  5. W. Heisenberg, Z. Phys.,120, 513, 673 (1943); Z. Naturforsch.,1, 673 (1946).

    Google Scholar 

  6. Yu. M. Shirokov, N. A. Rozanov, and M. L. Kharakhan, Proc. Intern. Conf. on Nonlocal Quantum Field Theory [in Russian], Dubna (1967), p. 170.

  7. E. C. G. Stuckelberg and D. Rivier, Helv. Phys. Acta,22, 215 (1949).

    Google Scholar 

  8. E. C. G. Stuckelberg, Phys. Rev.,81, 130 (1951).

    Google Scholar 

  9. J. Schwinger, Proc. Natl. Acad. Sci. USA,37, 452, 455 (1951).

    Google Scholar 

  10. N. N. Bogolyubov, Dokl. Akad. Nauk SSSR,81, 757, 1015 (1951);82, 217 (1952).

    Google Scholar 

  11. N. N. Bogolyubov, Izv. Akad. Nauk SSSR, Ser. Fiz.,19, 237 (1955).

    Google Scholar 

  12. N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantized Fields, Interscience (1959).

  13. N. N. Bogolyubov, B. V. Medvedev, and M. K. Polivanov, Questions of the Theory of Dispersion Relations [in Russian], Fizmatgiz (1958).

  14. N. N. Bogolyubov, A. A. Logunov, and I. T. Todorov, Fundamentals of the Axiomatic Approach in Quantum Field Theory [in Russian], Nauka (1969).

  15. P. B. Medvedev, Private Communication.

  16. B. V. Medvedev, Zh. Éksperim. Teor. Fiz.,40, 826 (1961).

    Google Scholar 

  17. B. V. Medvedev and M. K. Polivanov, Lectures at the International Winter School of Theoretical Physics [in Russian], Vol. 1, Dubna (1964), p. 77.

    Google Scholar 

  18. B. V. Medvedev, Zh. Éksperim. Teor. Fiz.,31, 791 (1956).

    Google Scholar 

  19. N. N. Bogolyubov and O. S. Parasyuk, Dokl. Akad. Nauk SSSR,100, 25, 429 (1955).

    Google Scholar 

  20. B. M. Stepanov, Izv. Akad. Nauk SSSR, Ser. Matem.,27, 819 (1963).

    Google Scholar 

  21. B. V. Medvedev, Zh. Éksperim. Teor. Fiz.,47, 147 (1964).

    Google Scholar 

  22. B. V. Medvedev, V. P. Pavlov, and A. D. Sukhanov, Preprint No. 143 [in Russian], P. N. Lebedev Physics Institute (1971).

  23. B. V. Medvedev, Zh. Éksperim. Teor. Fiz.,32, 87 (1957).

    Google Scholar 

  24. D. A. Slavnov and A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,36, 1472 (1959).

    Google Scholar 

  25. B. V. Medvedev and M. K. Polivanov, Zh. Éksperim. Teor. Fiz.,41, 1130 (1961).

    Google Scholar 

  26. A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,41 1915 (1961);47, 1303 (1964).

    Google Scholar 

  27. B. V. Medvedev, Zh. Éksperim. Teor. Fiz.,49, 1518 (1965).

    Google Scholar 

  28. B. V. Medvedev, V. P. Pavlov, and A. D. Sukhanov, Teor. Mat. Fiz.,8, 153 (1971).

    Google Scholar 

  29. A. D. Sukhanov, Yad. Fiz.,9, 653 (1969).

    Google Scholar 

  30. B. V. Medvedev, M. K. Polivanov, and A. D. Sukhanov, Yad. Fiz.,8, 396 (1968).

    Google Scholar 

  31. B. V. Medvedev, Zh. Éksperim. Teor. Fiz.,49, 1479 (1965).

    Google Scholar 

  32. A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,49, 1812 (1965).

    Google Scholar 

  33. A. D. Sukhanov, Dokl. Akad. Nauk SSSR,145, 1042 (1962); Zh. Éksperim. Teor. Fiz.,43, 1400 (1962).

    Google Scholar 

  34. A. D. Sikhanov, Zh. Éksperim. Teor. Fiz.,43, 932 (1962).

    Google Scholar 

  35. B. V. Medvedev and A. D. Sukhanov, Dokl. Akad. Nauk SSSR,165, 305 (1965).

    Google Scholar 

  36. B. V. Madvedev and M. K. Polivanov, Dokl. Akad. Nauk SSSR,177, 816 (1967).

    Google Scholar 

  37. A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,48, 538 (1965).

    Google Scholar 

  38. V. P. Pavlov and G. A. Tavluev, Teor. Mat. Fiz.,9, 80 (1971).

    Google Scholar 

  39. A. D. Sukhanov, Yad. Fiz.,4, 407 (1966); Zh. Éksperim. Teor. Fiz.,51, 1195 (1966).

    Google Scholar 

  40. M. K. Polivanov, Dokl. Akad. Nauk SSSR,100, 1061 (1955).

    Google Scholar 

  41. D. A. Slavnov and A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,41, 1940 (1961).

    Google Scholar 

  42. B. V. Medvedev, M. K. Polivanov, and A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,55, 179 (1968).

    Google Scholar 

  43. V. S. Vladimirov, Methods of the Theory of Functions of Many Complex Variables, M. I. T. Press, Cambridge, Mass. (1966).

    Google Scholar 

  44. D. A. Kirzhnits, Zh. Éksperim. Teor. Fiz.,49, 1544 (1965).

    Google Scholar 

  45. D. A. Kirzhnits, Zh. Éksperim. Teor. Fiz.,41, 551 (1961);45, 143 (1963).

    Google Scholar 

  46. D. A. Kirzhnits, Preprint No. 143 [in Russian] P. N. Lebedev Physics Institute (1971).

  47. B. V. Medvedev, M. K. Polivanov, and A. D. Sukhanov, Zh. Éksperim. Teor. Fiz.,55 512 (1968).

    Google Scholar 

  48. B. V. Medvedev and M. K. Polivanov, in: Problems of Theoretical Physics [in Russian], Nauka (1969), p. 125.

  49. M. K. Polivanov, Yad. Fiz.,7, 654 (1968).

    Google Scholar 

  50. V. Ya. Feinberg, Lectures at the International Winter School of Theoretical Physics [in Russian], Vol. 1, Dubna (1964), p. 140; Zh. Éksperim. Teor. Fiz.,47, 2285 (1964).

    Google Scholar 

  51. K. Symanzik, Lectures in Theoretical Physics, III, Boulder (1960), p. 490, Interscience (1961).

  52. E. S. Fradkin, Lectures at the International Winter School of Theoretical Physics [in Russian], Vol. 2, Dubna, p. 5; Trudy FIAN, 29, 7 (1965).

    Google Scholar 

  53. B. V. Medvedev, M. K. Polivanov, and A. D. Sukhanov, Preprint ITF-67-38 [in Russian], Institute for Theoretical Physics, Kiev (1967).

  54. G. V. Efimov, Zh. Éksperim. Teor. Fiz.,44, 2107 (1963).

    Google Scholar 

  55. E. S. Fradkin, Nucl. Phys.,49, 624 (1963).

    Google Scholar 

  56. A. Salam and J. Strathdee, Phys. Rev., DI, 3296 (1970).

  57. M. K. Volkov, Ann. Phys.,49, 202 (1968); Commun. Math. Phys.,7, 289 (1968).

    Google Scholar 

  58. H. Lehmann, K. Symanzik, and W. Zimmermann, Nuovo Cimento,1, 205 (1955);6, 319 (1957).

    Google Scholar 

  59. W. Glaser, H. Lehmann, and W. Zimmermann, Nuovo Cimento,6, 1122 (1957).

    Google Scholar 

  60. R. E. Pugh, Ann. Phys.,23, 335 (1963).

    Google Scholar 

  61. V. Ya. Fainberg, Zh. Éksperim. Teor. Fiz.,40, 1758 (1961).

    Google Scholar 

  62. B. V. Medvedev, V. P. Pavlov, and A. D. Sukhanov, Preprint ITF-69-3 [in Russian], Institute for High Energy Physics, Kiev (1969).

  63. B. V. Medvedev, Dokl. Akad. Nauk SSSR,153, 313 (1963).

    Google Scholar 

  64. H. Lehmann, Nuovo Cimento,11, 342 (1954).

    Google Scholar 

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Authors
  1. B. V. Medvedev
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  2. V. P. Pavlov
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  3. M. K. Polivanov
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  4. A. D. Sukhanov
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Additional information

V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 13, No. 1, pp. 3–40, October, 1972.

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Medvedev, B.V., Pavlov, V.P., Polivanov, M.K. et al. Method of extended S-matrix in quantum field theory. Theor Math Phys 13, 939–964 (1972). https://doi.org/10.1007/BF01035414

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