Comment on vector-meson dominance and the γ→3π vertex in the low-energy limit

It is found that a simple derivation of a relation between the γ→3π and π→2γ vertices, previously obtained from current algebra and the partial-conservation-of-axial-vector-current anomaly, can be given on the basis of a pole model together with vector-meson dominance if we require consistency between a ρ-pole description of ππ scattering in the framework of a Yang-Mills theory and a theorem of Weinberg for the same process in the two-soft-pion limit.