Non-Abelian anomaly and lattice-fermionic regularizations.

Abstract

The relationship between the phenomenon of species doubling on the lattice and the Abelian anomaly is generalized to the case of the non-Abelian anomaly. It is shown that each species individually gives the correct consistent anomaly. In total, however, the anomaly is canceled by opposite-handed species. It is thus demonstrated that a wide class of lattice fermions can reproduce the non-Abelian anomaly by decoupling the doublers.