The light-front Nambu?Jona?Lasinio model at finite temperature and density

In recent years, light-front quantization has been extended to allow for a consistent treatment of systems at finite temperature and density. This is in particular interesting for an investigation of the processes in nuclear matter under extreme condition as occurring, e.g. during a heavy-ion collision. Utilizing a Dyson expansion to the N-point Green's functions at finite temperature and density, we investigate the properties of the nucleon in a medium of quark matter. Due to the Fock-space properties in light-front quantization these can be calculated within a properly modified in-medium Faddeev equation. To connect these results to those accessible by the instant form approach, we consider also two-body correlations, e.g. the occurrence of pionic and scalar diquark dynamics in quark matter and their Mott dissociation using a separable t-matrix approach. For the scalar quark–quark correlation, we determine the critical temperature of color superconductivity using the Thouless criterion.