  We study the standard one-component $\varphi^4$-theory in four dimensions. A
renormalized coupling is defined in a finite size renormalization scheme which
becomes the standard scheme of the broken phase for large volumes. Numerical
simulations are reported using the worm algorithm in the limit of infinite bare
coupling. The cutoff dependence of the renormalized coupling closely follows
the perturbative Callan Symanzik equation and the triviality scenario is hence
further supported.
