| Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory （QED） |
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| 引用本文： | 包爱东,姚海波,吴式枢.Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory （QED）[J].中国物理 C,2009,33(3):177-180. |
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| 作者姓名： | 包爱东 姚海波 吴式枢 |
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| 作者单位： | 1 Center for Theoretical Physics, Department of Physics, Jilin University, Changchun 130023, China;2 Department of Physics, Northeast Normal University, Changchun 130024, China |
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| 基金项目： | The authors wish to thank Professor Wang Qing （Tsinghua University in China） for valuable discussions. |
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| 摘 要： | 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.
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| 关 键 词： | 轴向矢量电流 恒等式 异常 阿贝尔测量 |
| 收稿时间： | 2008-6-2 |
| 修稿时间： | 2008-11-2 |
Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED) |
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| Institution: | Center for Theoretical Physics;Department of Physics;Jilin University;Changchun 130023;China;Department of Physics;Northeast Normal University;Changchun 130024;China |
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| Abstract: | 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 non-trivial 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. |
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| Keywords: | axial-vector current Ward-Takahashi identity anomaly Atiyah-Singer index theorem |
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