Dimensional reduction and axial anomalies

Within the context of dimensional reduction the authors prove that the extraction of the axial anomaly necessitates ( psi _mu , Lambda ₅) not=0 if the axial current has the bilinear structure i Psi gamma _mu Lambda ₅ Psi . The desired properties of dimensionally reduced Gamma ₅ are given and they then show how to remove the inevitably entrained normal amplitude anomalies.