The Implications of Unitarity on Possible Higher Symmetries

Using the covariant spinor formalism for higher-spin particles, it is shown that the only combination of the internal symmetry group and the Lorentz group that is compatible with the unitarity condition is the direct product. Three theorems are proved which severely limit the type of symmetries that...

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Veröffentlicht in:J. Math. Phys 1966-05, Vol.7 (5), p.858-862
1. Verfasser: Muzinich, I. J.
Format: Artikel
Sprache:eng
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Zusammenfassung:Using the covariant spinor formalism for higher-spin particles, it is shown that the only combination of the internal symmetry group and the Lorentz group that is compatible with the unitarity condition is the direct product. Three theorems are proved which severely limit the type of symmetries that are consistent with the unitarity condition.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1931220