A Note on Transverse Axial Vector and Vector Anomalies in U(1) Gauge Theories

Abstract

The transverse axial vector and vector anomalies in four-dimensional U(1) gauge theories studied in [10] is reexamined by means of perturbative methods. The absence of transverse anomalies for both axial vector and vector current is verified. We also show that the Pauli-Villars regularization and dimensional regularization give the same result on the transverse anomaly of both axial vector and vector current.

Revtex4, 8 pages, two figures. Largely revised, using the Pauli-Villars regularization instead of dimensional regularization in the main proof. Final form to be published in Physics Letters B

References in corpus (2)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Quantum anomaly of the transverse Ward-Takahashi relation for the axial-vector vertex

Cited by in corpus (6)

• Checking the transverse Ward-Takahashi relation at one loop order in 4-dimensions
• Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD
• Transverse Ward-Takahashi Identities and Full Vertices Functions in Different Representation in QED${}_3$
• 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