New Inconsistencies in the Quantization of Spin-Fields
- 15 October 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 4 (8), 2204-2208
- https://doi.org/10.1103/physrevd.4.2204
Abstract
The possibility of consistently quantizing a spin- field in the presence of a coupling to a scalar and a spinor field is considered. It is found that, contrary to a recent assertion, the anticommutators of the various Fermi-Dirac fields are not positive definite. Inasmuch as this inconsistency is found to be present for the case in which the field participates only linearly in the interaction, such a result demonstrates that the difficulties discovered by Johnson and Sudarshan for an electromagnetic coupling can be expected to occur for a considerably more general class of interactions.
Keywords
This publication has 6 references indexed in Scilit:
- Galilean invariant Lee model for all spins and paritiesCommunications in Mathematical Physics, 1971
- Uniqueness of the Interaction Involving Spin-ParticlesPhysical Review D, 1971
- Propagation and Quantization of Rarita-Schwinger Waves in an External Electromagnetic PotentialPhysical Review B, 1969
- Inconsistency of the local field theory of chargedAnnals of Physics, 1961
- The Theory of Quantized Fields. IIPhysical Review B, 1953
- On a Theory of Particles with Half-Integral SpinPhysical Review B, 1941