LATTICE FERMIONS WITH MAJORANA COUPLINGS

We analyse stability of almost massless Dirac mode in gauge models wit h boundary (domain wall) fermions, and consider the possibility of dec oupling one of its chiral component by giving it a Majorana mass of th e order of the inverse lattice spacing. We argue that the chiral spect rum in such models is always uncharged, so they can be implemented for defining the Weyl fermions only in the real representation of the gau ge group, for instance, in SUSY models.