Topological index associated with transverse axial vector and vector anomalies in QEDSupported by National Natural Science Foundation of China (10775059)
Yi-Qian Sun (Center for Theoretical Physics, Department of Physics, Jilin University, Changchun 130023, China); Pin Lü (Center for Theoretical Physics, Department of Physics, Jilin University, Changchun 130023, China); Ai-Dong Bao (Center for Theoretical Physics, Department of Physics, Jilin University, Changchun 130023, China, Department of Physics, Kashi Normal University, Xinjiang 844000, China, Department of Physics, Northeast Normal University, Changchun 130024, China)
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.
