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Prog. Theor. Phys. Vol. 8 No. 1 (1952) pp. 77-110

[ Full Text PDF : FREE ACCESS (2319K) ]

On the Theory of the Green-Functions in Quantum-Elecrodynamics

Ryôyû Utiyama, Sigenobu Sunakawa and Tsutomu Imamura

Department of Physics, Osaka University

(Received May 27, 1952)

Abstract:

The re-formulation of Schwinger's theory of Green-functions is carried out by making use of Tomonaga-Schwinger theory. The physical meaning of several quantities and the relations between Green-functions and the S-Matrix are clarified. The general rule for obtaining the Green-functions of many-body problems are derived from our line of reasoning. The removability of divergences arising in the Green-function of one body problem is proved. Ward's identity is derived from the gauge-covariance of Green-functions.


URL : http://ptp.ipap.jp/link?PTP/8/77/
DOI : 10.1143/PTP.8.77

[ Full Text PDF : FREE ACCESS (2319K) ] Citation:

References:

  1. J. Schwinger, Proc. Nat. Acad. Sci. 37 (1951), 452.
  2. J. Schwinger, Phys. Rev. 82 (1951), 914[APS].
  3. F. J. Dyson, Phys. Rev. 75 (1949), 1736[APS].
  4. G. C. Wick, Phys. Rev. 80 (1950), 268[APS].
  5. M. Gell-Mann and F. Low, Phys. Rev. 84 (1951), 350[APS].
  6. F. J. Dyson, Phys. Rev. 83 (1951), 608[APS].
  7. S. N. Gupta, Proc. Phys. Soc. (London) A 64 (1951), 426.
  8. J. C. Ward, Phys. Rev. 78 (1950), 182[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 9 No. 3 (1953) pp. 223-237 :
    New Formulation of One-body Problem in Quantum Electrodynamics
    Mikio Namiki and Yosio Suzuki
  2. Progress of Theoretical Physics Vol. 9 No. 4 (1953) pp. 431-454 :
    Difficulty of Divergence of the Perturbation Method in the Quantum Field Theory
    Ryôyû Utiyama and Tsutomu Imamura
  3. Progress of Theoretical Physics Vol. 10 No. 5 (1953) pp. 549-574 :
    Many-body Problem in Quantum Field Theory
    Kazuhiko Nishijima
  4. Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 155-178 :
    On the Green-functions of Many-electron Problem
    Shinzo Nakai
  5. Progress of Theoretical Physics Vol. 12 No. 3 (1954) pp. 279-310 :
    Many-body Problem in Quantum Field Theory, II
    Kazuhiko Nishijima
  6. Progress of Theoretical Physics Vol. 12 No. 3 (1954) pp. 402-403 :
    Potential in Quantum Field Theory
    Tsutomu Imamura
  7. Progress of Theoretical Physics Vol. 12 No. 5 (1954) pp. 642-652 :
    Renormalization of Two-electron Green-function
    Sigenobu Sunakawa, Tsutomu Imamura and Ryôyû Utiyama
  8. Progress of Theoretical Physics Vol. 13 No. 2 (1955) pp. 183-188 :
    Potential in Quantum Field Theory
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  9. Progress of Theoretical Physics Vol. 13 No. 6 (1955) pp. 612-626 :
    Products of Improper Operators and the Renormalization Problem of Quantum Field Theory
    Werner Güttinger
  10. Progress of Theoretical Physics Vol. 17 No. 1 (1957) pp. 7-18 :
    The Functional Integrals in Quantum Theory
    Takeshi Kanki, Koichi Murata and Sigenobu Sunakawa
  11. Progress of Theoretical Physics Vol. 23 No. 4 (1960) pp. 629-661 :
    One-Particle Motions in Many-Particle Systems and the Optical Model in Nuclear Reactions
    Mikio Namiki
  12. Progress of Theoretical Physics Vol. 25 No. 5 (1961) pp. 735-742 :
    Quantum Statistical Analogue of Ward's Identity
    Keiji Watanabe, Osamu Kamei and Hiroshi Ezawa
  13. Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 2040-2047 :
    A Self-Consistent Formulation of Local Field Theory. II
    Akio Hosoya, Yukio Taguchi and Kunio Yamamoto

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