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Prog. Theor. Phys. Vol. 42 No. 3 (1969) pp. 707-714

[ Full Text PDF : FREE ACCESS (452K) ]

Convergent Field Theory with Complex Masses

Hiroshi Yamamoto

Department of Applied Physics, Fukui University, Fukui

(Received February 26, 1969)

Abstract:

The aim of this paper is to construct a consistent and convergent field theory. For this purpose the propagation functions are improved. The new propagators have to satisfy several conditions. Among these conditions the most interesting ones are “definite norm”, “divergenceless” and “causality”. It turns out that the new propagators include necessarily complex masses which have very close connection with “causality”. In order to examine this problem the propagator is studied carefully in a simple case, and is found to be macrocausal. It is suggested that the theory is connected with the validity of quantum electrodynamics at small distances and could be tested by experiments.


URL : http://ptp.ipap.jp/link?PTP/42/707/
DOI : 10.1143/PTP.42.707

[ Full Text PDF : FREE ACCESS (452K) ] Citation:

References:

  1. For example, H. Umezawa, Quantum Field Theory (North-Holland Publishers, 1956).
  2. R. P. Feynman, Phys. Rev. 74 (1948), 1439[APS].
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    The ideas of the last two authors are similar to ours at some points.
  3. L. Gårding, Acta Math. 85 (1951), 1.
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  6. N. Nakanishi, private communication and Prog. Theor. Phys. 19 (1958), 150[PTP].
  7. H. Yamamoto, Prog. Theor. Phys. 40 (1968), 1143[PTP].
  8. W. Heisenberg, Introduction to the Unified Field Theory of Elementary Particles (Interscience Publishers, 1966).
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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 520-530 :
    Convergent Field Theory with Complex Masses. II
    Hiroshi Yamamoto
  2. Progress of Theoretical Physics Vol. 44 No. 1 (1970) pp. 272-283 :
    Quantum Field Theory of Complex Mass
    Hiroshi Yamamoto
  3. Progress of Theoretical Physics Vol. 44 No. 4 (1970) pp. 1090-1091 :
    A Possible Model of a Divergenceless Nonlocal Quantum Field Theory
    D. F. Gallaher
  4. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1278-1289 :
    Quantum Field Theory of Complex Mass. II
    Hiroshi Yamamoto and Kiyoshi Kudo
  5. Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 1998-2006 :
    Observability of Complex Ghosts and Tachyons
    Hiroshi Yamamoto
  6. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
    Indefinite-Metric Quantum Field Theory
    Noboru Nakanishi

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