  We define a finite size renormalization scheme for $\phi^4$ theory which in
the thermodynamic limit reduces to the standard scheme used in the broken
phase. We use it to re-investigate the question of triviality for the four
dimensional infinite bare coupling (Ising) limit. The relevant observables all
rely on two-point functions and are very suitable for a precise estimation with
the worm algorithm. This contribution updates an earlier publication by
analysing a much larger dataset.
