Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex

Abstract

We study the possible quantum anomaly for the transverse Ward-Takahashi relations in four dimensional gauge theories based on the method of computing the axial-vector and the vector current operator equations. In addition to the well-known anomalous axial-vector divergence equation (the Adler-Bell-Jackiw anomaly), we find the anomalous axial-vector curl equation, which leads to the quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex. The computation shows that there is no anomaly for the transverse Ward-Takahashi relation for the vector vertex.

6 pages, LaTex

References in corpus (1)

• Identical Relations among Transverse Parts of Variant Green Functions and the Full Vertices in Gauge Theories

Cited by in corpus (7)

• Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions
• Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD
• A Note on Transverse Axial Vector and Vector Anomalies in U(1) Gauge Theories
• How gauge covariance of the fermion and boson propagators in QED constrain the effective fermion-boson vertex
• Beyond Symmetries : Anomalies in Transverse Ward--Takahashi Identities
• The Tensor Current Divergence Equation in U(1) Gauge Theories is Free of Anomalies
• Topological index associated with transverse axial vector and vector anomalies in QED