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

Abstract

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

4 pages. Submitted to "Chinese Physics C"

References in corpus (3)

• Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions
• A Note on Transverse Axial Vector and Vector Anomalies in U(1) Gauge Theories
• Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex