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

SUN Yi-Qian; L&Uuml; Pin; BAO Ai-Dong

doi:10.1088/1674-1137/39/4/043101

Chinese Physics C> 2015, Vol. 39> Issue(4) : 043101 DOI: 10.1088/1674-1137/39/4/043101

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

SUN Yi-Qian ^1,, ,
LÜ Pin ^1,, ,
BAO Ai-Dong ^1,2,3,,

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

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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.

References

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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

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Received: 2014-05-19
Revised: 2014-10-20

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2014-05-19

Accepted Date: 2014-10-20

Available Online: 2015-04-05

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

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通讯作者: 陈斌, bchen63@163.com

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