  We study a generalization of the Callan-Harvey mechanism to the case of a non
local mass. Using a 2+1 model as a concrete example, we show that both the
existence and properties of localized zero modes can also be consistently
studied when the mass is non local. After dealing with some general properties
of the resulting integral equations, we show how non local masses naturally
arise when radiative corrections are included. We do that for a 2+1 dimensional
example, and also evaluate the zero mode of the resulting non local Dirac
operator.
