Prog. Theor. Phys. Vol. 9 No. 2 (1953) pp. 137-146
On Yukawa's Theory of Non-local Field, II
— The Interaction of Non-local Fields
Institute of Theoretical Physics, Nagoya University
*Physical Institute, Yokohama National University
(Received December 30, 1952)
The interaction of non-local fields is investigated using the S-matrix formalism given by Yukawa. In §2 the self-energy of a local spinor particle interacting with a non-local scalar field is calculated in the second order approximation of the coupling constant. The result agrees with that obtained from the local theory except for a meaningless constant factor. The result is compared with those of Yennie and of Rayski, and it is pointed out that such an agreement is a direct consequence of the quantization rule adopted by Yukawa. In §3 the general feature of the Yukawa's S-matrix is discussed, and it is shown that it reduces to the ordinary Dyson's S-matrix in the limit when the particle radius tends to zero. The appendix constants a calculation of the vacuum energy of a system composed of two non-local scalar fields mutually interacting.
DOI : 10.1143/PTP.9.137
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Citing Article(s) :
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An Attempt to the Unified Description of Elementary Particles
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Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 996-1008
S-Matrix for Interacting Extended Boson Field. I
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