  We present results from numerical simulations of the Nambu-Jona-Lasinio model
with an SU(2)xSU(2) chiral symmetry and N_c=4,8, and 16 quark colors at nonzero
temperature. We performed the simulations by utilizing the hybrid Monte Carlo
and hybrid Molecular Dynamics algorithms. We show that the model undergoes a
second order phase transition. The critical exponents measured are consistent
with the classical 3d O(4) universality class and hence in accordance with the
dimensional reduction scenario. We also show that the Ginzburg region is
suppressed by a factor of 1/N_c in accordance with previous analytical
predictions.
