CHIRAL ANOMALY AND UNAMBIGUOUS TERMS OF EXACT SCALE BEHAVIOR

We perform new explicit and regularization-independent calculations of < AV > amplitude in QED₁₊₁ and amplitude in QED₁₊₃ respectively to reinvestigate the anomaly problem. A kind of finite and unambiguous terms of exact scale behavior (in momentum space) is found to be responsible for the anomalies both in QED₁₊₁ and QED₁₊₁. They come from logarithmically divergent momentum integrals in contrast with the usual knowledge for triaugle anomaly in QED₁₊₃. In QED₁₊₁, this term is also responsible for photon mass generation. Some implications and possible relations with other aspects of anomaly are discussed.