The $\mathrm{U}(1, \mathrm{loc})\times \mathrm{SU}(2, \mathrm{loc})\times G{\left(\mathrm{loc}\right)}_{\mathrm{strong}}$-invariant effective Lagrangian of quarks and leptons with electroweak and strong gauge fields can be reduced to an SU(2,loc)-invariant Lagrangian involving only one basic noncanonical SU(2)-doublet Weyl-type spinor field. A condensation of fermion pairs resulting from a self-interaction of the spinor fields leads to a spontaneous breakdown of dilatation and SU(2) symmetry and causes different local dressings of the basic field which can induce the larger variety of phenomenological fields. Hypercharge U(1,loc) reflects the SU(2,loc) (third component) property of the dressing. The strong-interaction gauge group $G{\left(\mathrm{loc}\right)}_{\mathrm{strong}}=\mathrm{SO}(3, \mathrm{loc})$—usually taken as SU${\mathrm{}(3,\mathrm{l}\mathrm{o}\mathrm{c})\mathrm{}}_{\mathrm{color}}$—and the flavor group SU(2,loc) are interpreted to arise from the same basic SU(2,loc) similar to the manner in which orbital and spin rotations relate to the same rotation group.

• Received 12 July 1979

DOI:https://doi.org/10.1103/PhysRevD.22.1176