An Anomaly Associated with Ward–Takahashi Identity for Pseudo-Tensor Current in QED

We study the quantum anomaly for the transverse Ward–Takahashi relations in the four-dimensional gauge theory QED by using Fujikawa's method in which the anomaly is fundamentally a variation of the functional integral measure under transformation. A regulator which leads to a finite result for the anomaly is proposed. It is shown that a novel anomaly associated with transverse Ward–Takahashi identity of pseudo-tensor current is derived due to a set of infinitesimal transverse transformation of field variables.