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Prog. Theor. Phys. Vol. 22 No. 1 (1959) pp. 128-144

[ Full Text PDF : FREE ACCESS (834K) ]

Ordinary and Anomalous Thresholds in Perturbation Theory

Noboru Nakanishi

Department of Physics, Kyoto University, Kyoto

(Received March 24, 1959)

Abstract:

Ordinary and anomalous thresholds of the matrix element corresponding to the general Feynman graph are rigorously investigated in detail. Necessary conditions for the ordinary threshold are obtained.


URL : http://ptp.ipap.jp/link?PTP/22/128/
DOI : 10.1143/PTP.22.128

[ Full Text PDF : FREE ACCESS (834K) ] Citation:

References:

  1. H. J. Bremermann, R. Oehme and J. G. Taylor, Phys. Rev. 109 (1958), 2178[APS].
    R. Oehme and J. G. Taylor, Phys. Rev. 113 (1959), 371[APS].
    J. G. Taylor, lecture note (at Maryland).
  2. R. Karplus, C. Sommerfield and F. Wichmann, Phys. Rev. 111 (1958), 1187[APS].
  3. Y. Nambu, Nuovo Cim. 9 (1958), 610.
    K. Symanzik, Prog. Theor. Phys. 20 (1958), 690[PTP].
    Y. Nambu, to be published.
  4. N. Nakanishi, Prog. Theor. Phys. 21 (1959), 135[PTP].
  5. N. Nakanishi, Prog. Theor. Phys. 17 (1957), 401[PTP].
  6. K. Hiida, N. Nakanishi, Y. Nogami and M. Uehara, to be published.
  7. R. Karplus, C. Sommerfield and F. Wichmann, to be published.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 22 No. 3 (1959) pp. 351-372 :
    Electromagnetic Structure of the Nucleon. II
    Kichiro Hiida, Noboru Nakanishi, Yukihisa Nogami and Masayuki Uehara
  2. Progress of Theoretical Physics Vol. 22 No. 6 (1959) pp. 863-881 :
    Electromagnetic Structure of the Nucleon. III
    Kichiro Hiida and Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 23 No. 2 (1960) pp. 284-286 :
    A Note on the Ordinary and Anomalous Thresholds in Perturbation Theory
    Noboru Nakanishi
  4. Progress of Theoretical Physics Vol. 24 No. 5 (1960) pp. 1013-1032 :
    Isobar Model and the S-Wave Pion-Nucleon Scattering
    Yasunori Fujii
  5. Progress of Theoretical Physics Vol. 24 No. 6 (1960) pp. 1275-1295 :
    On the Validity of Multiple Dispersion Representations
    Noboru Nakanishi
  6. Progress of Theoretical Physics Vol. 25 No. 2 (1961) pp. 277-289 :
    New Analyses of Anomalous Imaginary Part
    Jun Otokozawa
  7. Progress of Theoretical Physics Vol. 39 No. 3 (1968) pp. 768-771 :
    Classical Motion of Particles and the Physical-Region Singularity of the Feynman Integral
    Noboru Nakanishi
  8. Progress of Theoretical Physics Vol. 42 No. 4 (1969) pp. 966-977 :
    Feynman-Parametric Formula for the Hankel-Transformed Position-Space Feynman Integral
    Noboru Nakanishi
  9. Progress of Theoretical Physics Vol. 45 No. 1 (1971) pp. 208-226 :
    The Landau Equations for a Continuous Medium and the Koba-Nielsen Kernels in the Generalized Veneziano Formula
    Masatsugu Minami

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