Lattice chirality

The external fermion propagator and the internal fermion propagator in the overlap are given by different matrices. A generic problem (formulated by P elissetto) faced by all chiral, non-local, propagators of Rebbi type is avo ided in this manner. Nussinov-Weingarten-Witten mass inequalities are exact ly preserved. I sketch how to obtain simple lattice chiral Yukawa models an d simple expressions for covariant currents. Going beyond my oral presentat ion, I have added to the write-up several comments on Niedermayer's talk.