Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 11 No. 1 (1954) pp. 80-94

[ Full Text PDF : FREE ACCESS (895K) ]

Note on the Second Kind Interaction

Susumu Okubo

Department of Physics, Tokyo University

(Received November 11, 1953)

Abstract:

The examples which must not be treated by the perturbation are given, and it is shown that there exist some second kind interactions which become to the first kinds, if the uses of the perturbation are avoided. Especially, the pseudoscalar theory with the vector coupling after the Dyson transformation belongs to this, although it was proven only for the vanishing meson mass. At last, the Green functions in the scalar meson theory with the vector coupling are obtained exactly.


URL : http://ptp.ipap.jp/link?PTP/11/80/
DOI : 10.1143/PTP.11.80

[ Full Text PDF : FREE ACCESS (895K) ] Citation:


References:

  1. F. J. Dyson, Phys. Rev. 75 (1949), 1736[APS].
  2. for example
    Abdus Salam, Phys. Rev. 84 (1951), 426[APS].
    J. C. Ward, Phys. Rev. 84 (1951), 894[APS].
  3. S. Sakata, H. Umezawa and S. Kamefuchi, Prog. Theor. Phys. 7 (1952), 377[PTP].
    H. Umezawa, Prog. Theor. Phys. 7 (1952), 551[PTP].
  4. Ning Hu, Phys. Rev. 80 (1950), 1109[APS].
  5. S. Kamefuchi and H. Umezawa, Prog. Theor. Phys. 9 (1953), 529[PTP].
  6. S. F. Edwards, Phys. Rev. 90 (1953), 284[APS].
  7. Watson, Theory of Bessel Function, Cambridge (1922), 434.
  8. R. J. Glauber, Phys. Rev. 84 (1951), 397[APS].
  9. G. C. Wick, Phys. Rev. 80 (1950), 268[APS].
  10. C. A. Hurst, Proc. R. Soc. 214 (1952), 44.
    R. Utiyama and T. Imamura, Prog. Theor. Phys. 9 (1953), 431[PTP].
  11. F. J. Dyson, Phys. Rev. 73 (1948), 929[APS].
  12. J. M. Berger, L. L. Foldy and R. K. Osborne, Phys. Rev. 87 (1952), 1061[APS].
  13. J. Schwinger, Proc. N.A.S. 37 (1951), 452.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 5 (1969) pp. 1208-1210 :
    Violation of Analyticity in the Partial Summation Method
    Reijiro Fukuda
  2. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 206-213 :
    Non-Linear Lagrangian of Chiral Type
    Reijiro Fukuda
  3. Progress of Theoretical Physics Vol. 63 No. 2 (1980) pp. 627-640 :
    Ward Identity of Dilatation Current in Conformal-Invariant Quantum Electrodynamics
    Yoshimi Matsubara
  4. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 1016-1023 :
    Tadpole Diagram in a Conformal-Invariant Massive Scalar Φ4 Theory
    Yoshimi Matsubara
  5. Progress of Theoretical Physics Vol. 64 No. 5 (1980) pp. 1800-1813 :
    Spontaneous Mass Generation in Conformal-Invariant Φ4 Theory
    Yoshimi Matsubara
  6. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1827-1842 :
    Quantum Theory of Massive Yang-Mills Fields. I
    Takashi Fukuda, Minoru Monda, Minoru Takeda and Kan-ichi Yokoyama
  7. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 284-297 :
    Quantum Theory of Massive Yang-Mills Fields. III
    Takashi Fukuda, Hiroaki Matsuda, Yoshinori Seki and Kan-ichi Yokoyama