Topological index associated with transverse axial vector and vector anomalies in QED

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SUN Yi-Qian, LÜ Pin and BAO Ai-Dong. Topological index associated with transverse axial vector and vector anomalies in QED[J]. Chinese Physics C, 2015, 39(4): 043101. doi: 10.1088/1674-1137/39/4/043101
SUN Yi-Qian, LÜ Pin and BAO Ai-Dong. Topological index associated with transverse axial vector and vector anomalies in QED[J]. Chinese Physics C, 2015, 39(4): 043101.  doi: 10.1088/1674-1137/39/4/043101 shu
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Received: 2014-05-19
Revised: 2014-10-20
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Topological index associated with transverse axial vector and vector anomalies in QED

    Corresponding author: SUN Yi-Qian,
    Corresponding author: LÜ Pin,
    Corresponding author: BAO Ai-Dong,
  • Center for Theoretical Physics, Department of Physics, Jilin University, Changchun 130023, China;2 Department of Physics, Northeast Normal University, Changchun 130024, China;3 Department of Physics, Kashi Normal University, Xinjiang 844000, China

Abstract: It is shown that a novel anomaly associated with transverse Ward-Takahashi identity exists for a pseudo-tensor current in QED, and the anomaly gives rise to a topological index of a Dirac operator in terms of an Atiyah-Singer index theorem.

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