composites one gets different powers of scales since the dimensions of these fields have not been rescaled yet.

The case of $SU(2)$ is special in that the tree level superpotential (\[eq:sup\]) is renormalizable. Hence, in that case the theory described above can in fact be dynamically generated. One might worry that because the representations of $SU(2)$ are pseudoreal the global symmetry in the above analysis is enlarged from $SU(2)\times SU(2)$ to $SU(4)$ and the analysis above would have to be modified. It is true that the global symmetry group is enlarged, but the analysis remains unchanged if we identify ${\rm det} \mathcal{M} - \tilde{\mathcal{B}}\mathcal{B}$ with the Pfaffian of the combined meson field $\mathcal{M}'$. To be more precise, we have the following confining theory: $$\begin{array}{c|c|cc}
& SU(2)& SU(4) & U(1)_R\\ \hline
  \mathcal{Q} & {\raisebox{-.5pt}{{\hbox{\rule{0.4pt}{6.5pt}\hskip-0.4pt\rule{6.5pt}{0.4pt}\hskip-6.5pt\rule[6.5pt]{6.5pt}{0.4pt}}\rule[6.5pt]{0.4pt}{0.4pt}\hskip-0.4pt\rule{0.4pt}{6.5pt}}}}& {{\raisebox{-.5pt}{{\hbox{\rule{0.4pt}{6.5pt}\hskip-0.4pt\rule{6.5pt}{0.4pt}\hskip-6.5pt\rule[6.5pt]{6.5pt}{0.4pt}}\rule[6.5pt]{0.4pt}{0.4pt}\hskip-0.4pt\rule{0.4pt}{6.5pt}}}}} & 0\\
\hline
\hline
  \mathcal{M}'=\mathcal{Q}^2 & 1       & {\raisebox{-3.5pt}{{\hbox{\rule{0.4pt}{6.5pt}\hskip-0.4pt\rule{6.5pt}{0.4pt}\hskip-6.5pt\rule[6.5pt]{6.5pt}{0.4pt}}\rule[6.5pt]{0.4pt}{0.4pt}\hskip-0.4pt\rule{0.4pt}{6.5pt}}}\hskip-6.9pt        \raisebox{3pt}{{\hbox{\rule{0.4pt}{6.5pt}\hskip-0.4pt\rule{6.5pt}{0.4pt}\hskip-6.5pt\rule[6.5pt]{6.5pt}{0.4pt}}\rule[6.5pt]{0.4pt}{0.4pt}\hskip-0.4pt\rule{0.4pt}{6.5pt}}}}& 0 \\
\end{array} \nonumber$$ Note that the composite meson field $\mathcal{M}'_{ij}=\mathcal{Q}_i\mathcal{Q}_j$ contains both the mesons and baryons in the previous language. As shown in [@Seiberg; @IntrPoul], instanton corrections will force a quantum mechanical expectation value to the composite meson field $\mathcal{M}'$: $$\label{pfaffian}
{\rm Pf} \mathcal{M}'=\mathcal{M}'_{ij} \mathcal{M}'_{kl} \epsilon^{ijkl}
=\Lambda_2^4,$$ which will break the global $SU(4)$ to its 