Mechanisms of QCD in an external magnetic field

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New phases of strongly interacting matter under extreme conditions are the subject of various heavy ion collision experiments, for instance at CERN. The dynamics of the underlying quarks and gluons is governed by Quantum Chromodynamics (QCD), which has to be treated nonperturbatively in these regimes. Numerical simulations in the framework of lattice QCD provide information about the transition at high temperatures and in the presence of strong magnetic fields, which have become of great interest in recent years.The project aims at analyzing the mechanisms of QCD with external magnetic fields in detail, using a combination of analytic approaches and evaluations on lattice configurations (with physical quark masses). It focusses on the behavior of the quark eigenmodes, Polyakov loops and the topological density, in view of the transition and the Chiral magnetic effect as well as for a better theoretical understanding of QCD as a strongly coupled system.