Comments on the Standard Model of Electroweak Interactions

Abstract

The Standard Model of electroweak interactions is shown to include a gauge theory for the observed scalar and pseudoscalar mesons. This is done by exploiting the consequences of embedding the SU(2)left X U(1) group into the chiral group of strong interactions and by considering explicitly the Higgs boson and its three companions inside the standard scalar 4-plet as composite. No extra scale of interaction is needed. Quantizing by the Feynman path integral reveals how, in the `Nambu Jona-Lasinio approximation', the quarks and the Higgs boson become unobservable, and the theory anomaly-free. Nevertheless, the `anomalous' couplings of the pseudoscalar mesons to gauge fields spring again from the constraints associated with their compositeness itself. This work is the complement of a previous one, ref.[1], where the leptonic sector was shown to be compatible with a purely vectorial theory and, consequently, to be also anomaly-free. The bond between quarks and leptons loosens.

Comments: some misprints have been corrected, references added, and an incorrect remark suppressed. 33 pages Latex [amssymb,times,epsf], 8 (tarred, compressed, uuencoded) postscript figures included (instructions at the beginning of the latex file).