Anomalous Ward Identities in Spinor Field Theories

1969/08/25 by William A. Bardeen · 16 citations
Physics and Astronomy · Earth and Planetary Sciences · #Laser-Plasma Interactions and Diagnostics #High-pressure geophysics and materials #Quantum and Classical Electrodynamics

paper · doi:10.1103/physrev.184.1848

Abstract

We consider the model of a spinor field with arbitrary internal degrees of freedom having arbitrary nonderivative coupling to external scalar, pseudoscalar, vector, and axial-vector fields. By carefully defining the S matrix in the interaction picture, the vector and axial-vector currents associated with the external vector and axial-vector fields are found to satisfy anomalous Ward identities. If we require that the vector currents satisfy the usual Ward identities, the divergence of the axial-vector current contains well-defined anomalous terms. These terms are explicitly calculated.

Cited by

• The Renormalization of the Non-Abelian Gauge Theories in the Causal Approach
• Flavor specific chiral U(1)_X framework for explaining the ATOMKI anomaly
• Anomaly-Free Supergravities in Six Dimensions
• Chiral Magnetic Effect induced Spectator Process for Leptogenesis
• The anomalous magnetic moment of the muon in the Standard Model
• Vorticity-induced effects from Wess-Zumino-Witten terms
• The anomalous magnetic moment of the muon in the Standard Model
• On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory
• A Supersymmetric Extension of Axionic Electrodynamics: From Axions and Photons to Axinos and Photinos
• Path integral for gauge theories with fermions
• Updated determination of the pion-photon transition form factor
• Gauge anomalies on shell and collinear factorization
• Searching for Dark Pions with the MoEDAL-MAPP Detector at the LHC
• Global aspects of current algebra
• The axial anomaly, dimensional regularization and Lorentz-violating QED
• Gauge symmetry and radiatively induced terms in dimension-5 non-minimal Lorentz-violating QED

Related

• Axial-Vector Vertex in Spinor Electrodynamics
• Axial anomaly in the presence of arbitrary spinor interactions
• Ward identities for extended objects
• Feynman rules for non-perturbative sectors and anomalous supersymmetry Ward identities
• Axial and gauge anomalies in the field antifield quantization of the generalized Schwinger model