Phasenüubergäange und kritische Dynamik in endlichen Volumina

In this diploma thesis the critical dynamic and the thermodynamics of the Quark-Meson model are studied in finite and infinite volume . The used Quark-Meson model has two flavours and is calculated in four dimensions (three spatial and one temporal). The used method is the Renormalization Group. The obtained results are compared with lattice simulations.