Dynamics of disordered interacting quantum systems

Starting from the Liouville-von Neumann equation for the state operator, a functional integral representation of the generating functional for time-temperature dependent Green's functions in interacting disordered quantum systems is constructed. In the framework of this method, quenched averages can be performed without introducing additional, unphysical degrees of freedom, like, e.g., in then-replica method. For interaction-free systems, the dynamical origin of the Schäfer-Wegner symmetry is pointed out. For interacting systems we derive a matrix field theory with a single matrix field, which includes all interaction effects without approximations.