“…4) does any new, unexpected phase of strongly interacting matter emerge for strong enough background fields? Many model computations exist, which try to answer those questions [77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96], in the following we will discuss results based on lattice simulations. The focus will be on aspects regarding deconfinement and chiral symmetry restoration, leaving aside other issues, like the possible emergence of a superconductive phase for strong enough magnetic fields [97,60,98,99].…”