SPONTANEOUS BREAKING OF FLAVOR SYMMETRY AND PARITY IN THE NAMBU JONA-LASINIO MODEL WITH WILSON FERMIONS

We study the lattice Nambu-Jona-Lasinio model with two flavors of Wils on fermions in the large N limit, where N is the number of ''colors''. For large values of the four-fermion coupling we find a phase in whic h both, flavor symmetry and parity, are spontaneously broken. In accor dance with general expectations there are three massless pions on the phase boundary, but only two of them remain massless inside the broken phase. This is analogous to earlier results obtained in lattice QCD, indicating that this behavior is a very general feature of the Wilson term.