Comment on the Short-Distance Behavior of the Axial-Vector Current
- 15 July 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 8 (2) , 660-664
- https://doi.org/10.1103/physrevd.8.660
Abstract
Using the Callan-Symanzik equations as a tool to study the short-distance behavior of the gauge-invariant axial-vector current in quantum electrodynamics, we conclude that as a consequence of Ward identities the axial-vector current is required to scale noncanonically. The Wilson-Crewther calculation of the anomaly cannot be carried out, although its use is legitimate in phenomenological applications treating electromagnetism to lowest order.Keywords
This publication has 19 references indexed in Scilit:
- Comment on the Absence of Radiative Corrections to the Anomaly of the Axial-Vector CurrentPhysical Review D, 1973
- Constraints on AnomaliesPhysical Review D, 1972
- Axial-Vector Anomalies and the Scaling Property of Field TheoryPhysical Review Letters, 1972
- Extension of Jost and Schroer's Theorem to Quantum ElectrodynamicsPhysical Review D, 1972
- Nonperturbative Evaluation of the Anomalies in Low-Energy TheoremsPhysical Review Letters, 1972
- Small-distance-behaviour analysis and Wilson expansionsCommunications in Mathematical Physics, 1971
- Broken Scale Invariance in Scalar Field TheoryPhysical Review D, 1970
- Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence EquationPhysical Review B, 1969
- Non-Lagrangian Models of Current AlgebraPhysical Review B, 1969
- Uniqueness Property of the Twofold Vacuum Expectation ValuePhysical Review B, 1960