  A Monte Carlo simulation of the O(4) $\lambda \phi^4$ theory in the broken
phase is performed on a hypercubic lattice in search of an I=1, J=1 resonance.
The region of the cutoff theory where the interaction is strong is investigated
since it is there that a resonance would be expected to have a better chance to
form. In that region the presence of an I=1, J=1 resonance with mass below the
cutoff is excluded.
