Explicit Poincaré Embedding of the Harmonic-Oscillator Model of Composite Elementary Particles
- 15 October 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 8 (8) , 2446-2450
- https://doi.org/10.1103/physrevd.8.2446
Abstract
There are two unitarily inequivalent realizations of the Poincaré Lie algebra of the recently proposed harmonic-oscillator model of elementary particles. One of these, which may be called the usual type, is trivial. The nature of the second type of realization, in which the structural information carried by continuous internal variables is not lost, suggests a very general method for avoiding the pitfalls suggested by the analyses of Wigner and O'Raifeartaigh for the construction of Poincaré states with nontrivial internal structure.Keywords
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