ON A CONVERGENT MODEL OF QUANTUM FIELD THEORY WITH INDEFINITE METRIC
A convergent quantum field theory model with indefinite metric is proposed, for the case of an indirect interaction between a physical neutral scalar field and a physical spinor field, by introducing four kinds of unphysical spinor fields that play the roles of the intermediate states connecting the two physical fields. Two of the unphysical fields are set to have negative anticommutators, and this fact makes the metric of the Hilbert space indefinite; nevertheless it is shown that the unitarity of the actual S-matrix holds strictly. The result is that every vertex in the usual local theory is exactly replaced with some kind of extended vertex in this model, which guarantees a sufficient convergency for all results. Although the extended vertex in this model becomes singular at the two momentum values depending on the masses of unphysical fields and the cou pling constant, it is shown that there remains a consider-able degree of freedom for controlling the stable mass levels of the physical particles. (auth
- Research Organization:
- Tokyo Institute of Technology (Japan)
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-032906
- OSTI ID:
- 4837219
- Journal Information:
- Progr. Theoret. Phys. (Kyoto), Vol. Vol: 26; Other Information: Orig. Receipt Date: 31-DEC-61
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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