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Prog. Theor. Phys. Vol. 9 No. 1 (1953) pp. 14-32

[ Full Text PDF : FREE ACCESS (1359K) ]

The General Theory of the Interaction Representation, I

— The Local Field —

Yasushi Takahashi and Hiroomi Umezawa

Institute of Theoretical Physics, Nagoya University

(Received November 29, 1952)

Abstract:

The general relation between the covariant commutation relation and the Green function of the field equation is given. This relation can be easily applied to find the commutation relation of the free field. With help of this relation we develop the general quantization theory for the system involving the general fields. Moreover, it is proved that the normal dependent term has no effects on the S-matrix and on the expectation values of the physical quantities. We shall point out the several erroneous conclusions in the other developments of the quantization theory.


URL : http://ptp.ipap.jp/link?PTP/9/14/
DOI : 10.1143/PTP.9.14

[ Full Text PDF : FREE ACCESS (1359K) ] Citation:

References:

  1. M. Fierz, Helv. Phys. Acta 12 (1939), 3.
  2. S. Sakata, H. Umezawa and S. Kamefuchi, Prog. Theor. Phys. 7 (1952), 377[PTP].
  3. R. P. Feynman, Phys. Rev. 76 (1949), 749[APS]; ibid. 76 (1949), 769[APS].
  4. C. N. Yang and D. Feldman, Phys. Rev. 79 (1950), 972[APS].
  5. Z. Koba, Prog. Theor. Phys. 5 (1950), 696[PTP].
  6. S. Kanesawa and Z. Koba, Prog. Theor. Phys. 4 (1949), 299[PTP].
  7. J. Schwinger, Phys. Rev. 75 (1949), 651[APS].
  8. H. Umezawa, Prog. Theor. Phys. 7 (1952), 551, [PTP]and also see reference 2.
  9. W. Rarita and J. Schwinger, Phys. Rev. 60 (1941), 61[APS].
  10. For example, see W. Pauli, Rev. Mod. Phys. 13 (1941), 203[APS].

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