  Using lattice simulations of a one-component $(\lambda \Phi^4)_4$ theory, we
have measured the energy spectrum $\omega({\mathbf{k}})$ in the broken phase at
various lattice sizes. Our data show that the energy-gap $\omega(0)$ is {\it
not} the `Higgs mass' $M_h$ but an infrared-sensitive quantity that becomes
smaller and smaller by increasing the lattice size and may even vanish in the
infinite-volume limit.
