  Light-front quantization to many-particle systems of finite temperature and
density provides a novel approach towards a relativistic description of quark
matter and allows us to calculate the perturbative as well as the
non-perturbative regime of QCD. Utilizing a Dyson expansion of light-front
many-body Green functions we have so far calculated three-quark, quark-quark,
and quark-antiquark correlations that lead to the chiral phase transition, the
formation of hadrons and color superconductivity in a hot and/or dense
environment. Presently, we use an effective zero-range interaction, to compare
our results with the more traditional instant form approach where applicable.
