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Prog. Theor. Phys. Vol. 5 No. 4 (1950) pp. 696-717

[ Full Text PDF : FREE ACCESS (1595K) ]

Note on a Lorentz-Invariant Integration in the Quantum Field Theory

Ziro Koba

Department of Physics, Faculty of Science, Osaka University

(Received August 7, 1950)

Abstract:

Unne ni esploras la kondiĉon de integrebleco en integrata formo de super-multa-tempa teorio, kaj due proponas novan esprimaĵon por transformada funkcio, kiu estas komplete Lorentz-nevarianta. Plue ni aplikas ĉi tiun formon je la kalukulado de S-matrikso kaj klarigas la ĝeneralan egalecon de Tomonaga-Schwinger'a formalaĵo al tiu de Feynman. Fine unu provo de integra formuligo de kvantuma kampteorio estas diskutata por ebligi estontan ĝeneraligon de la teorio.


URL : http://ptp.ipap.jp/link?PTP/5/696/
DOI : 10.1143/PTP.5.696

[ Full Text PDF : FREE ACCESS (1595K) ] Citation:

References:

  1. H. Yukawa, “Kagaku” (Science) 12 (1942), 251
  2. P. A. M. Dirac, Phys. Zeits. Sowjet. 3 (1933), 64.
  3. S. Tomonaga, “Riken-ihô” (Bull. I.P.C.R.) 22 (1943), 545 (in Japanese); Prog. Theor. Phys. 1 (1946), 27 [PTP](English translation of the foregoing article).
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  10. J. S. de Wet, Proc. R. Soc. A 201 (1950), 284.
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  12. F. Hausdorff, Leipziger Berichte 58 (1906), 19.
  13. T. Tati and S. Tomonaga, Prog. Theor. Phys. 3 (1948), 391[PTP].
  14. Z. Koba, Prog. Theor. Phys. 5 (1950), 139[PTP].
  15. K. Nishijima, Prog. Theor. Phys. in press.
  16. H. Yukawa, Private communication to S. Nakamura. (We express our thanks to Dr. Nakamura for his kind information on this point.)
  17. H. Yukawa, Phys. Rev. 77 (1950), 849[APS].
  18. P. T. Matthews, Phys. Rev. 76 (1949), 769[APS].
  19. C. N. Yang and D. Feldman, Phys. Rev. 79 (1950), 972[APS].
    (We express our thanks to Dr. Yang and Dr. Feldman for having sent us kindly a copy of their work before publication.)

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  18. Progress of Theoretical Physics Vol. 9 No. 5 (1953) pp. 501-523 :
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  20. Progress of Theoretical Physics Vol. 16 No. 6 (1956) pp. 667-683 :
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  21. Progress of Theoretical Physics Vol. 33 No. 2 (1965) pp. 279-289 :
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  22. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 996-1008 :
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