Comment on the Adler-Bardeen Theorem and Related Problems

摘要

Some aspects of the constructive proof of the Adler-Bardeen theorem in the sense of exact bare identities are discussed by using the higher derivative regularization. It is argued that the formal path integral derivation of chiral and scale (counting identity) anomalies is compatible with the construction of those regularized Green's functions. We also comment on the T*-product in the Lagrangian formalism and discuss how the complications associated with the (anomalous) symmetry charges in the operator approach are avoided in a suitably defined path integral formalism. (ERA citation 13:010163)