  A massless electroweak theory for leptons is formulated in a Weyl space, W_4,
yielding a Weyl invariant gauge dynamics allowing for conformal rescalings of
the metric and all fields with nonvanishing Weyl weight together with the
corresponding transformations of the Weyl vector fields representing the D(1)
or dilatation gauge fields. To study the appearance of nonzero masses this
theory is explicitly broken by a term in the Lagrangean involving the curvature
scalar R of the W_4 and a mass term for the scalar field. Thereby also the
gauge fields as well as the charged fermion field acquire a mass as in the
standard electroweak theory. The symmetry breaking is governed by the relation
D Phi^2=0, where Phi is the modulus of the scalar field and D denotes the
Weyl-covariant derivative. This true symmetry reduction, establishing a scale
of length in the theory, is compared to the so-called spontanous symmetry
breaking in the standard electroweak theory which is, actually, the choice of a
particular (nonlinear) gauge obtained by adopting an origin in the coset space
representing the scalar field which is invariant under the electromagnetic
gauge group. Particular attention is devoted to the appearance of Einstein's
equations for the metric after the Weyl-symmetry breaking yielding a
pseudo-Riemannian space V_4 from a W_4 and a scalar field with a constant
modulus which in turn affects Einstein's gravitational constant in a manner
comparable to the Brans-Dicke theory.
