Anomalies in conservation laws in the Hamiltonian formalism
- 15 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 34 (2) , 674-677
- https://doi.org/10.1103/physrevd.34.674
Abstract
We present an analysis of anomalies and its relation with the Ehrenfest theorem from the Hamiltonian point of view. It is shown that when an operator becomes anomalous it is due to the fact that it does not keep invariant the domain of definition of the Hamiltonian, proving a theorem which states that an operator which keeps invariant such a domain cannot have anomalies.Keywords
This publication has 11 references indexed in Scilit:
- The Schwinger model and its axial anomalyAnnals of Physics, 1985
- The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystalPhysics Letters B, 1983
- The axial anomaly and the lattice Dirac seaNuclear Physics B, 1983
- Toward a theory of the strong interactionsPhysical Review D, 1978
- Spectral asymmetry and Riemannian geometry. IIIMathematical Proceedings of the Cambridge Philosophical Society, 1976
- A PCAC puzzle: π0→γγ in the σ-modelIl Nuovo Cimento A (1971-1996), 1969
- Axial-Vector Vertex in Spinor ElectrodynamicsPhysical Review B, 1969
- On Gauge Invariance and Vacuum PolarizationPhysical Review B, 1951
- On the Use of Subtraction Fields and the Lifetimes of Some Types of Meson DecayPhysical Review B, 1949
- On the -Decay of Neutral MesonProgress of Theoretical Physics, 1949