Renormalizable “Deception” Theory of Weak Interactions

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.

Lecture given at X. Internationale Universitätswochen.