Lattice effective theory and the phase transition at finite densities

The transition from the hadronic phase to the phase of color-superconductivity at large densities is addressed by an effective theory which incorporates the Yang-Mills dynamics in addition to the di-quark degree of freedom. A toy version of this theory is studied by lattice simulations. A first order phase transition separates the regime of broken color-electric flux tubes from the color superconducting phase. My findings suggest that the quark and gluon liberation occurs at the same critical chemical potential.