  We study the spectrum of massive excitations of the three-dimensional phi^4
and Ising models, in the broken-symmetry phase. Using a variational method, we
show that the spectrum contains all the 0+ states that one expects from duality
with the glueball spectrum of the Z(2) gauge model. From the point of view of
continuum phi^4 theory, we show that at least one of the states we find has a
non-perturbative origin.
