  We study a model of four reduced staggered fields transforming in the
bifundamental representation of a $SU(2)\times SU(2)$ symmetry group where just
one of the SU(2) factors is gauged. This field content and symmetries are
similar to a Higgs-Yukawa model that has been studied recently. The key
observation in the latter work is that fermions acquire masses at strong
coupling via the formation of a symmetric four fermion condensate in contrast
to the more usual symmetry breaking bilinear condensate seen in eg. NJL models.
The current work attempts to see whether this structure survives when the four
fermi interactions are replaced by gauge interactions and to explore the
resulting phase diagram.
