Abstract
We present results of numerical lattice simulations of anomalous and topological effects in Quantum Electrodynamics (QED) and Quantum Chromodynamics (QCD) in far from equilibrium situations. Based on the classical-statistical approximation to the Schwinger-Keldysh path integral formalism, we perform extensive numerical studies including dynamical Wilson and overlap fermions. Using advanced algorithmic techniques, we study the real-time dynamics of the axial anomaly relevant for strong field laser physics beyond the Schwinger limit and we observe novel dynamical refringence effects caused by the anomaly. Furthermore, motivated by recent interest in the physics of the Chiral Magnetic Effect in ultra-relativistic heavy ion collisions, we study the real time dynamics of fermions during and after a sphaleron transition and anomalous transport in the presence of strong magnetic fields.
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