Abstract: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.
. [J]. Chin. Phys. Lett., 2012, 29(12): 121101-121101.
BAO Ai-Dong, SUN Yi-Qian, WANG Dan. An Anomaly Associated with Ward–Takahashi Identity for Pseudo-Tensor Current in QED. Chin. Phys. Lett., 2012, 29(12): 121101-121101.