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

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, , Citation Yi-Qian Sun et al 2015 Chinese Phys. C 39 043101 DOI 10.1088/1674-1137/39/4/043101

1674-1137/39/4/043101

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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Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd

Footnotes

  • Supported by National Natural Science Foundation of China (10775059)

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10.1088/1674-1137/39/4/043101