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Spin Polarizabilities on the Lattice

Spin polarizabilities provide information on the internal structure of hadrons in the presence of weak external electromagnetic fields, and are actively studied by Compton scattering experiments. They provide finer detail than the regular polarizabilities since they require space and time-varying fields. Using an effective action in the weak field limit, we have identified methods to isolate each of the physical quantities ($μ, α, β, γ_{E1}, γ_{M1}, γ_{E2}, γ_{M2}$) for spin-1/2 hadrons, both neutral and charged. We also perform a lattice QCD simulation to investigate the feasibility of the effective action approach.