Quantum Chromodynamics and Random Matrix Theory

Andreas Schäfer,
Universität Regensburg
Quantum Chromodynamics, i.e. the fundamental theory of quarks, gluons and their interaction, shows an extremely rich phenomenology. While some aspects can be treated in perturbation theory most of its more fascinating properties are non-perturbative in nature. Some of the aspects are confinement, chiral symmetry breaking (both of which together generate most of the mass of usual objects), and the existence of specific field configurations with non-trivial topological properties. A large variety of theoretical techniques is used to clarify different aspects of such phenomena: Lattice-QCD, QCD-Sumrules, resummations of perturbative graphs, in future hopefully duality arguments from super-string-theory ... In doing so one encounters many different aspects, in which Random Matrix Theory can be applied and helps to elucidate the phenomenological situation and to improve the power of different theoretical approaches. In the talk it will be tried to give an overview of the situation.