It is shown that a novel anomaly associated with transverse Waxd-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 Atiy...It is shown that a novel anomaly associated with transverse Waxd-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.展开更多
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 i...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.展开更多
基金Supported by National Natural Science Foundation of China(10775059)
文摘It is shown that a novel anomaly associated with transverse Waxd-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.
文摘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.
