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Prog. Theor. Phys. Vol. 21 No. 1 (1959) pp. 1-17

On the Unstable States in Quantum Field Theory

Tetsuo Gotō

Department of Physics, College of Science and Engineering, Nihon University, Tokyo

(Received July 25, 1958)

Abstract:

The unstable state in quantum field theory is investigated. Its properties are studied in detail by making use of Lee's model. The renormalization procedure is proposed and the corresponding Z-factor has values only between zero and unity. In the limit of g (the coupling constant) = 0, the Z-factor becomes unity in contrast to Naitō's Z-factor which becomes one-half.

URL : http://ptp.ipap.jp/link?PTP/21/1/
DOI : 10.1143/PTP.21.1

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References:

1. H. Araki, Y. Munakata, M. Kawaguchi and T. Gotō, Prog. Theor. Phys. 17 (1957), 419[PTP].
2. T. Okabayashi and S. Satō, Prog. Theor. Phys. 17 (1957), 30[PTP].
3. V. Glaser and G. Källén, Nucl. Phys. 2 (1957), 706[CrossRef].
4. K. Naitō, Prog. Theor. Phys. 18 (1957), 200[PTP]; ibid. 18 (1957), 614[PTP].
5. N. Nakanishi, Prog. Theor. Phys. 19 (1958), 607[PTP].
6. T. D. Lee, Phys. Rev. 95 (1954), 1329[APS].
7. C. Møller, Kgl. Dansk, Vid. Selsk. 22 (1946), No. 19.
8. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (1952).
9. G. Gamov and C. L. Critchfield, Theory of Atomic Nucleus and Nuclear Energy Source (1949).

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 26 No. 3 (1961) pp. 391-417 :

   A Simple Model for Two-Channel Reaction in Field Theory and Its Application to the Y^* Problem

   Yasunori Fujii

2. Progress of Theoretical Physics Vol. 26 No. 6 (1961) pp. 829-843 :

   Relativistic Quantum Field Theory of Unstable Particle

   Mitsuru Hama and Sho Tanaka

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