Advanced Algorithms for the Simulation of Gauge Theories with Dynamical Fermionic Degrees of Freedom

The topic of this thesis is the numerical simulation of quantum chromodynamics including dynamical fermions. Two major problems of most simulation algorithms that deal with dynamical fermions are (i) their restriction to only two mass-degenerate quarks, and (ii) their limitation to relatively heavy masses. Realistic simulations of quantum chromodynamics, however, require the inclusion of three light dynamical fermion flavors. It is therefore highly important to develop algorithms which are efficient in this situation. This thesis is focused on the implementation and the application of a novel kind of algorithm which is expected to overcome the limitations of older schemes. This new algorithm is named Multiboson Method. It allows to simulate an arbitrary number of dynamical fermion flavors, which can in principle have different masses. It will be shown that it exhibits better scaling properties for light fermions than other methods. Therefore, it has the potential to become the method of choice. An explorative investigation of the parameter space of quantum chromodynamics with three flavors finishes this work. The results may serve as a starting point for future realistic simulations.