  Chiral dynamics makes definitive predictions for the electromagnetic
polarizabilities of hadrons near the chiral limit; but, agreement with
experiment is tenuous in some cases. We provide an overview of lattice QCD
methods to compute the electric and magnetic polarizabilities of hadrons.
Central to these methods is the lattice simulation of quarks in uniform,
classical electromagnetic fields. A long-term goal is the determination of
polarizabilities directly from lattice computations, however, in the near term,
one may need to rely on partially quenched chiral perturbation theory.
Nonetheless the same striking predictions for the pion mass dependence of
electric and magnetic polarizabilities can be made from chiral dynamics, and
tested with lattice QCD. A particular focus is a novel new method to handle
charged particle correlation functions in magnetic fields.
