NONLOCAL GENERALIZATION OF THE AXIAL ANOMALY AND X-DEPENDENCE OF THE ANOMALOUS GLUON CONTRIBUTION

The generalization of the axial anomaly is considered. It is shown tha t bilocal axial quark operators on the light cone possess, in addition to the pointlike anomaly, also a lightlike anomaly. The consequences for the definition of anomaly-free quark distribution functions and th e effect of both the gluon coefficient function and splitting kernels in polarized deep inelastic scattering are discussed.