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

         

摘要

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.

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