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We analyze the vacuum structure of a generalized lattice Nambu--Jona-Lasiniomodel with two flavors of Wilson fermions, such that its continuum action isthe most general four-fermion action with 'trivial' color interactions, andhaving a $SU(2)_V x SU(2)_A$ symmetry in the chiral limit. The phase structureof this model in the space of the two four-fermion couplings shows, in additionto the standard Aoki phases, new phases with $<\bar\psi \gamma_5\psi> != 0$, inclose analogy to similar results recently suggested by some of us for latticeQCD with two degenerate Wilson fermions. This result shows how the phasestructure of an effective model for low energy QCD cannot be entirelyunderstood from Wilson Chiral Perturbation Theory, based on the standard QCDchiral effective Lagrangian approach.

Phase structure of a generalized Nambu Jona-Lasinio model with Wilson fermions in the mean field or large $N$-expansion