Relativistic quark matter in light front field theory

We consider correlations in hot and dense quark matter within the framework of light front quantization. We have computed the masses of two-body boundstates M 2 ( T , μ ) in the pionic and scalar diquark channel using a T -matrix approach. The quark interaction is given by a NJL model. The gap equation is generalized to finite temperature T and quark chemical potential μ and we determine the medium dependent quark mass. Further we calculate the critical temperature of two flavor color superconductivity.