Prog. Theor. Phys. Vol. 11 No. 3 (1954) pp. 273-287
On the Structure of the Interaction of the Elementary Particles, V
— Interaction of the Second Kind and Non-local Interaction
Institute of Theoretical Physics, Nagoya University
(Received December 31, 1953)
By extending the same idea as in the previous paper IV to the case of vertex corrections we have examined to what extent the theory can be made less singular with such a method. Detailed discussions are given as to the easiest example, namely, the 4-vertex-interaction in the meson pair theory. For this interaction it is required to introduce the infinite number of counter terms, which can, however, be brought into the form of the non-local interactions. Thus, although we can not say that the theory thus obtained is closed, we can obtain the finite results if we admit such a procedure. Lastly, some remarks are briefly stated in connection with other approaches to the non-singular theory.
DOI : 10.1143/PTP.11.273
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