  In this work we investigate $q{\bar q}$ spectra and wavefunctions of light
front transverse lattice Hamiltonians that result from different methods of
formulating fermions on the transverse lattice. We adopt the one link
approximation for the transverse lattice and Discrete Light Cone Quantization
to handle longitudinal dynamics. We perform a detailed study of the continuum
limit of DLCQ and associated techniques to manage severe light front infrared
divergences. We explore the effects of various parameters of the theory,
especially, the strength of the helicity-flip interaction and the link mass on
spectra and wavefunctions.
