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arXiv · hep-th/0201217

Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex

Han-xin He
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Abstract

We study the possible quantum anomaly for the transverse Ward-Takahashi relations in four dimensional gauge theories based on the method of computing the axial-vector and the vector current operator equations. In addition to the well-known anomalous axial-vector divergence equation (the Adler-Bell-Jackiw anomaly), we find the anomalous axial-vector curl equation, which leads to the quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex. The computation shows that there is no anomaly for the transverse Ward-Takahashi relation for the vector vertex.

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Han-xin He. 2002-02-02. Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex. https://doi.org/10.1016/s0370-2693(01)00430-0

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