Explicit Calculation of the Renormalized Singlet Axial Anomaly

A careful and complete discussion is given of the renormalization of the singlet axial anomaly equation in a vector-like nonabelian gauge theory such as QCD regularized by ordinary dimensional regularization. Pseudotensorial structures are treated with the 't Hooft-Veltman prescription. A general framework for calculations is developed, and subsequently verified by explicit computations through two loops. This is followed by a discussion of the matrix elements obtained.Comment: harvmac, 28 pages plus 4 tables (figures not included, available upon request), UCLA/92/TEP/4