Dynamical gauge fields are essential to capture the short and large distance behavior of gauge theories (confinement, asymptotic freedom …). We discuss and compare possible ways to engineer dynamical gauge field similar to those used in lattice gauge theory simulations. More specifically, we explain how the use of bipartite lattices, atomic mixtures, Feshbach molecules or induced few-body rotations can be used to generate local invariance and link composite operators with adjoint quantum numbers that could play a role similar to the link variables used in lattice gauge theory.
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