Path-Integral Measure for Gauge-Invariant Fermion Theories
- 30 April 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 42 (18), 1195-1198
- https://doi.org/10.1103/physrevlett.42.1195
Abstract
It is shown that the path-integral measure for gauge-invariant fermion theories is not invariant under the transformation and the Jacobian gives rise to an extra phase factor corresponding to the Adler-Bell-Jackiw anomaly. The derivation of "anomalous" Ward-Takahashi identities by means of the variational derivative can thus be made consistent in the path-integral formalism.
Keywords
This publication has 20 references indexed in Scilit:
- Renormalization Group and the Anomalous Axial-Vector Ward-Takahashi IdentitiesProgress of Theoretical Physics, 1977
- On the heat equation and the index theoremInventiones Mathematicae, 1973
- Axial-Vector Anomalies and the Scaling Property of Field TheoryPhysical Review Letters, 1972
- Effect of Anomalies on Quasi-Renormalizable TheoriesPhysical Review D, 1972
- Anomalous Ward Identities in Spinor Field TheoriesPhysical Review B, 1969
- Absence of Higher-Order Corrections in the Anomalous Axial-Vector Divergence EquationPhysical Review B, 1969
- A PCAC puzzle: π0→γγ in the σ-modelIl Nuovo Cimento A (1971-1996), 1969
- Axial-Vector Vertex in Spinor ElectrodynamicsPhysical Review B, 1969
- The Index of Elliptic Operators: IAnnals of Mathematics, 1968
- On Gauge Invariance and Vacuum PolarizationPhysical Review B, 1951