Abstract
Gauge interactions incorporate nonparticle fields with nonunitary and nilpotent time development, analogue to the motion of a free mass pointp2/2m0. The nontransversal gauge and the «Lagrange multiplier» fields, together with the Faddeev-Popov nonparticle fields, represent the affine tangent structure of the gauge group. Nonadjoint representations of the affine Lie algebra use composite gauge fields. Their constituents without particle structure build a Hilbert space for the composites, different from the usual Fock space.
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