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

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

2002-01-28

arxiv.org/abs/hep-th/0201217v2

Phys.Lett. B507 (2001) 351-355

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, LaTex

Scientific paper

10.1016/S0370-2693(01)00430-0

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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