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Prog. Theor. Phys. Vol. 44 No. 1 (1970) pp. 272-283

[ Full Text PDF : FREE ACCESS (713K) ]

Quantum Field Theory of Complex Mass

Hiroshi Yamamoto

Department of Applied Physics, Fukui University, Fukui

(Received February 16, 1970)

Abstract:

General properties of a complex massed particle are studied. The microcausality is reconsidered briefly and the macrocausality in our sense is defined in a very simple way. It is then examined whether a particle with a complex mass violated the macrocausality, and the demand not to violate the macrocausality gives a condition for the complex mass. The canonical quantization is applied to a field with complex mass. In this case the vacuum is defined carefully so that the propagator does not diverge in infinite past and future. A new propagator which eliminates the divergence from the usual field theory is introduced using the complex massed fields aside from the usual field with real mass. A new interpretation on the internal structure of elementary particles is suggested from this propagator and a more generalized propagator of a non-local field. It is proved that the scattering matrix defined as usual is unitary in the subspace of real massed particles.


URL : http://ptp.ipap.jp/link?PTP/44/272/
DOI : 10.1143/PTP.44.272

[ Full Text PDF : FREE ACCESS (713K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 46 No. 4 (1971) pp. 1278-1289 :
    Quantum Field Theory of Complex Mass. II
    Hiroshi Yamamoto and Kiyoshi Kudo
  2. Progress of Theoretical Physics Vol. 53 No. 1 (1975) pp. 275-282 :
    A Vacuum with Double Structure
    Hiroshi Yamamoto and Kiyoshi Kudo
  3. Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 1998-2006 :
    Observability of Complex Ghosts and Tachyons
    Hiroshi Yamamoto
  4. Progress of Theoretical Physics Supplement No.51 (1972) pp. 1-95 :
    Indefinite-Metric Quantum Field Theory
    Noboru Nakanishi

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