remain massless. In order to remove these massless fields (and at the same time provide the necessary diagonal vacuum expectation values (vev’s) of the $Q_i$’s) Arkani-Hamed, Cohen and Georgi proposed the addition of a matching set of gauge singlet chiral superfields $S_i$ and the superpotential $$\label{suppot}
W_{\rm dyn.}= \frac{1}{\mu^{M-2}}\sum_i S_i (B_i- v^M),$$ where $\mu$ is a mass scale. The question that we want to answer first is whether this superpotential can be achieved dynamically, perhaps also within a renormalizable theory. In [@ACG] a dynamical model for the non-supersymmetric case has been worked out. Here we show that for the case of $SU(2)$ gauge groups one can achieve this as well through supersymmetric non-perturbative dynamics within a renormalizable theory, which is understood from the works of Seiberg and others [@Seiberg]. For the $SU(N)$ version of this model there will still be a branch on the moduli space of vacua that achieves the dynamical breaking of the gauge symmetry to the diagonal one. However, in order to ensure that we are on the right branch (and that the other moduli are massive) a non-renormalizable tree-level superpotential will have to be added, at least for the example based on the simplest possible matter 