  We have determined the rescaling of the scalar condensate $Z\equiv Z_\phi$
near the critical line of a 4D Ising model. Our lattice data, supporting
previous numerical indications, confirm the behaviour $Z_\phi\sim \ln ({\rm
cutoff})$. This result is predicted in an alternative description of symmetry
breaking where there are no upper bounds on the Higgs boson mass from
`triviality'.
