Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory （QED）

A topological way to distinguish divergences of the Abelian axial-vector current in quantum field theory is proposed. By using the properties of the Atiyah-Singer index theorem, the nomtrivial Jacobian factor of the integration measure in the path-integral formulation of the theory is connected with...

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Bibliographic Details
Published inChinese physics C no. 3; pp. 177 - 180
Main Author 包爱东 姚海波 吴式枢
Format Journal Article
LanguageEnglish
Published 2009
Subjects
恒等式
轴向矢量电流
阿贝尔测量
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ISSN1674-1137
0254-3052

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Summary:A topological way to distinguish divergences of the Abelian axial-vector current in quantum field theory is proposed. By using the properties of the Atiyah-Singer index theorem, the nomtrivial Jacobian factor of the integration measure in the path-integral formulation of the theory is connected with the topological properties of the gauge field. The singularity of the fermion current related to the topological character can be correctly examined in a gauge background.
Bibliography:O4
axial-vector current, Ward-Takahashi identity, anomaly, Atiyah-Singer index theorem
11-5641/O4
ISSN:1674-1137
0254-3052