  We perform a comparison between different lattice regularizations of the
Dirac operator for massless fermions in the framework of the single and two
flavor Schwinger model. We consider a) the Wilson-Dirac operator at the
critical value of the hopping parameter; b) Neuberger's overlap operator; c)
the fixed point operator. We test chiral properties of the spectrum, dispersion
relations and rotational invariance of the mesonic bound state propagators.
