Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex
High Energy Physics - Theory
2009-11-07 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0201217,
title = {Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex},
author = {Han-xin He},
journal= {arXiv preprint arXiv:hep-th/0201217},
year = {2009}
}
Comments
6 pages, LaTex