On a Convergent Model of Quantum Field Theory with Indefinite Metric. II

概要

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The unified general form of the Lagrangian of a convergent model of quantum field theory with indefinite metric, including two cases which have previously been proposed, is investigated in detail. Starting from this Lagrangian, the unitarity of the actual S-matrix is also shown by an approach different from that used previously. The graphical contents concerning the physical processes described by the actual S-matrix are not altered at all from the previous one. That is, every point vertex in the usual theory is exactly replaced with an extended vertex in this model, the structure of which provides the sufficient convergency for the results. It is also shown that the bi-linear interaction terms connecting the physical spinor field with the unphysical spinor fields are never eliminated. This fact is the most essential feature of this model. The mass renormalization is also investigated in order to exclude the singularities of the propagator of the physical spinor field except the one corresponding to a physical mass. From this circumstance the troublesome problem about the mass levels of the physical spinor field is dissolved.
理論物理学刊行会の論文
1962-02-25