Chiral analog gauge theories on the lattice

We discuss a class of lattice gauge theories with fermions that have properties in common with continuum chiral gauge theories. The symmetries we gauge have often been mistaken for chiral symmetries in the literature. We show that in the continuum limit they converge to ordinary vector-like symmetries, but that at strong coupling they behave like chiral symmetries. We find lattice analogs of the technicolor mechanism and of the generation of composite massless fermions in chiral gauge theories. (orig.)