  We report on Monte Carlo simulations focused on elucidating the phase
structure of a SU(2) gauge theory containing $N_f$ Dirac fermion flavors
transforming in the fundamental representation of the group and interacting
through an additional chirally invariant four fermion term. Pairs of physical
flavors are implemented using the two tastes present in a reduced staggered
fermion formulation of the theory with the Yukawa interactions necessary for
generating the four fermion term preserving the usual shift symmetries. We
observe a crossover in the behavior of the chiral condensate for strong four
fermi coupling associated with the generation of a dynamical mass for the
fermions. At weak gauge coupling this crossover is consistent with the usual
continuous phase transition seen in the pure (ungauged) NJL model. However, if
the gauge coupling is strong enough to cause confinement we observe a much more
rapid crossover in the chiral condensate consistent with a first order phase
transition.
