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Prog. Theor. Phys. Vol. 6 No. 3 (1951) pp. 322-341

[ Full Text PDF : FREE ACCESS (2210K) ]

On Gauge Invariance and Equivalence Theorems

Ziro Koba, Nobumichi Mugibayashi and Shinzô Nakai

Department of Physics, Faculty of Science, Osaka University

(Received March 17, 1951)

Abstract:

The gauge invariance theorem and the equivalence theorems are studied in the Feynman-Dyson formalism. Our results may be of considerable use in reducing complicated calculations. When the Dyson diagram contains a closed loop, certain ambiguities appear as usual. From the standpoint that surface integrals in the momentum space should be estimated accurately, however, they are easily removed by a simple prescription. As an application of our method, the two-gamma-decay of a neutral meson is reexamined and entirely consistent results are obtained.


URL : http://ptp.ipap.jp/link?PTP/6/322/
DOI : 10.1143/PTP.6.322

[ Full Text PDF : FREE ACCESS (2210K) ] Citation:

References:

  1. S. Tomonaga, Prog. Theor. Phys. 1 (1946), 27[PTP].
    Z. Koba, T. Tati and S. Tomonaga, Prog. Theor. Phys. 2 (1947), 101[PTP]; ibid. 2 (1947), 198[PTP].
    S. Kanesawa and S. Tomonaga, Prog. Theor. Phys. 3 (1948); ibid. 1 (1946), 101[PTP].
    S. Tomonaga, Phys. Rev. 74 (1948), 224[APS].
  2. J. Schwinger, Phys. Rev. 74 (1948), 1439[APS]; ibid. 75 (1949), 651[APS]; ibid. 76 (1949), 790[APS].
  3. R. P. Feynman, Phys. Rev. 76 (1949), 749[APS]; ibid. 76 (1949), 769[APS].
  4. F. J. Dyson, Phys. Rev. 75 (1949), 486[APS]; ibid. 75 (1949), 1736[APS].
  5. T. Miyazima, Soryushiron Kenkyu 2 (1950), No.1, 59 (in Japanese).
  6. W. Pauli and F. Villars, Rev. Mod. Phys.21 (1949), 434[APS].
  7. D. C. Peaslee, Phys. Rev. 81 (1951), 107[APS].
  8. H. Umezawa and R. Kawabe, Prog. Theor. Phys. 4 (1949), 423[PTP]; ibid. 4 (1949), 433[PTP].
    D. Feldman, Phys. Rev. 76 (1949), 1369[APS].
    R. Jost and J. Rayski, Helv. Phys. Acta 22 (1949), 458.
  9. Y. Katayama, Prog. Theor. Phys. 5 (1950), 272[PTP].
    H. Fukuda and T. Kinoshita, Prog. Theor. Phys. 5 (1950), 1024[PTP].
  10. Z. Koba, T. Kotani and S. Nakai, Prog. Theor. Phys. 6 (1951), 849[PTP].
  11. On Lagrangian point of view:
    E. C. Nelson, Phys. Rev. 60 (1941), 830[APS].
    E. J. Kelley, Phys. Rev. 79 (1950), 399[APS].
    On Hamiltonian point of view:
    F. J. Dyson, Phys. Rev. 73 (1948), 929[APS].
    K. M. Case, Phys. Rev. 76 (1949), 14[APS].
  12. R. Karplus and N. M. Kroll, Phys. Rev. 77 (1950), 537[APS].
  13. H. Fukuda and Y. Miyamoto, Prog. Theor. Phys. 4 (1949), 347[PTP].
    J. Steinberger, Phys. Rev. 76 (1949), 1180[APS].
    H. Fukuda, Y. Miyamoto, T. Miyazima, S. Tomonaga, S. Ozaki, S. Ôneda and S. Sasaki, Prog. Thoer. Phys. 4 (1949), 477.
  14. C. N. Yang, Phys. Rev. 77 (1950), 242[APS].
  15. W. Furry, Phys. Rev. 51 (1937), 125[APS].
  16. P. T. Matthews, Phys. Rev. 76 (1949), 684[APS].
    Z. Koba, Prog. Theor. Phys. 5 (1950), 139[PTP]; ibid. 5 (1950), 696[PTP].

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  11. Progress of Theoretical Physics Vol. 12 No. 1 (1954) pp. 108-109 :
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  12. Progress of Theoretical Physics Vol. 42 No. 5 (1969) pp. 1191-1205 :
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  13. Progress of Theoretical Physics Vol. 46 No. 3 (1971) pp. 990-992 :
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