Abstract
In this work we investigate $q\overline{q}$ spectra and wave functions 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 (DLCQ) 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 wave functions.
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