  We perform a study of the doubly virtual Compton scattering off a spinless
target gamma* P -> gamma* P' within the Anti-de Sitter(AdS)/QCD formalism. We
find that the general structure allowed by the Lorentz invariance and gauge
invariance of the Compton amplitude is not easily reproduced with the standard
recipes of the AdS/QCD correspondence. In the soft-photon regime, where the
semi-classical approximation is supposed to apply best, we show that the
measurements of the electric and magnetic polarizabilities of a target like the
charged pion in real Compton scattering, can already serve as stringent tests,
and presumably exclude results based on the AdS/QCD correspondence in its
minimal version.
