We investigate the generalized Gross-Neveu model using the discretized
light-cone quantization and we find that the vacuum of the bare theor
y is nontrivial in the presence of vectorial current coupling when the
simplest and most natural form of quantum constraints is used. Nevert
heless the vacuum of the renormalized theory is trivial. In the thermo
dynamic the Bethe-Salpeter equations which are obtained contain all th
e terms needed to make them finite.