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Gauge invariant nonlocal theory of the weak interactions

✍ Scribed by G.V. Efimov; Sh.Z. Seltser

Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
873 KB
Volume
67
Category
Article
ISSN
0003-4916

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✦ Synopsis

The perturbation theory of electromagnetic and weak interactions is considered. A hypothesis is proposed that the neutrino is a "carrier" of nonlocality. It means effectively a nonlocal change of the neutrino free-particle propagator. The charged lepton fields (ele'ctron and muon fields) are considered to be local; consequently, the gauge invariance of the theory is guaranteed. The introduction of the nonlocality does not remove all ultraviolet divergences in perturbation theory, but there is only a f&e number of divergent Feynman diagrams that are formed by the closed charged lepton loops. Therefore, the theory is renormalized. The renormalization of the theory leads to the appearance of an additional pure Y -Y interaction.

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