  The three-point current correlation function in Euclidean spacetime for a
strongly coupled system with non-Abelian global symmetry, $\langle
J^a_i(x)J^b_j(y)J^c_k(z)\rangle$, is calculated from the weakly coupled AdS
dual. The contribution from the first non-renormalizable bulk operator,
$(F_{\mu\nu})^3$, is calculated and shown to lead to a polarization structure
different from the leading contribution, which comes from the renormalizable
$(F_{\mu\nu})^2$ operator. The non-renormalizable correction is suppressed by
powers of the cutoff scale $\Lambda$. This suggests a possible experimental
probe of the effective description through a measurement of the cutoff scale
$\Lambda$ in strongly coupled condensed matter systems.
