  The main results of our analysis of the two flavor Nambu--Jona-Lasinio model
with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic
lattice with naive and Wilson fermions are presented. Large $N$ techniques and
numerical simulations are used to study various properties of the model. The
scalar and pseudoscalar spectrum, the approach to the continuum and chiral
limits, the size of the $1/N$ corrections, and the effects of the zero momentum
fermionic modes on finite lattices are studied. Also, some interesting
observations are made by viewing the model as an embedding theory of the Higgs
sector.
