AXIAL U(1) ANOMALY AND CHIRAL SYMMETRY-BREAKING IN QCD

It is well known that the absence of the ABJ anomaly is necessary for the corresponding gauge field theory to be renormalizable¹. This condition places severe restrictions on the choice of the possible gauge group, and the representation for fermions, as we have just heard from A. Zee. I would like to report, on the other hand, some consequences of the presence of ABJ anomaly in certain global current conservation equations. This is a work done in collaboration with L. N. Chang…