  Starting from the axial vector Ward-Green-Takahashi identity, and the
necessity of preserving this identity when attempting to calculate the
properties describing pseudoscalar mesons, we describe a Bethe-Salpeter kernel
which takes into account the non-Abelian anomaly and therefore is suitable to
describe the flavor mixing states $\eta,\eta^\prime$. We then report results
for the two photon transition form factors of $\eta,\eta^\prime$, and compare
them with existing experimental data.
