Abstract
We review the very general conditions under which a nonlocal theory of weak interactions with a renormalizable Lagrangian yields the effective V-A-form for the leptons in leptonic and semileptonic matrix elements. The simplest special case is the two-boson exchange model, when both particles have spin zero. After several attempts to elaborate this model so as to avoid qualitative contradictions in the realm of nonleptonic processes by the introduction of several other particles, in its most recent version by Gupta and Patil even less particles are required than in the original box model for leptonic and semileptonic processes. We treat here also the last basic open question, namely the incorporation of the CVC-hypothesis, by the assumption of â product development of the hadronic source-operators in the hadronic part and arrive in this way at a satisfactory solution. It seems unreasonable to go any further in the theory at a moment, when our experimental knowledge about the nonlocal structure of weak interactions is still nonexistent.
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References and Footnotes
T. D. Lee and C. N. Yang, Phys. Rev. 119, 1410, (1960).
It is not yet clear whether nature in fact can be described by a quantum field theory with indefinite metric [3] where this difficulty may be circumvented.
T. D. Lee and G. C. Wick, Nucl. Phys. B9, 209 and B10, 1 (1964).
W. Kummer and G. Segrè, Nucl. Phys. 64, 585 (1965).
We may also allow the exchange of a neutral, massive vector boson, coupled to a conserved current. The latter must be constructed from equal and therefore necessarily “internal” particles like lrl. and can be contained in L’!
N. Christ, Phys.Rev. 176, 2086 (1968).
E. P. Shabalin, Yad. Fit. 8, 74 (1968).
S. H. Patil and J. S. Vaishya, Nucl. Phys. 19, 338 (1970).
V. Gupta and S. H. Patil, Nucl. Phys., to be published.
S. S. Gershtein and I. B. Zeldovich, Sov.Phys. JETP, 2, 576 (1956);
K. Wilson, Phys. Rev. 179, 1499 (1969);
R. Brandt, Ann. Phys. (N.Y.) 44, 221 (1967).
R. A. Brandt and G. Preparata, CERN-prepr. TH/1208 (1970)
The E. T. C. determine also the Bjorken limit qo(q = fixed) [14], which however is not enough to describe the full region q2~M2 m2 in a covariant way. Note also that the light cone development (4.9), amended by log-factors, is true in all renormalizable theories whereas the Bjorken-limit does not hold under all circumstances.
cf. the argument of Goldberger, mentioned in ref. [6].
W. Kummer, Acta Phys. Austr., to be published.
Particle Data Group, “Review of Particle Properties” Phys. Lett. August 1970.
H. H. Bergeson et al., Phys. Rev. Lett. 19, 1487 (1967) and 21, 1089 (1968).
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Kummer, W. (1971). Renormalizable “Deception” Theory of Weak Interactions. In: Urban, P. (eds) Concepts in Hadron Physics. Few-Body Systems, vol 8/1971. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8284-0_7
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DOI: https://doi.org/10.1007/978-3-7091-8284-0_7
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