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On the spin-3/2 wave equations with auxiliary spins 1/2;3/2; Acausality for Harish-Chandra degree four

О болновых уравнениях для спина 3/2 с вспомогательными спинами 1/2 и 3/2. Отсутствие причинности для четырех степеней свободы Хариша-Чандра.

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Il Nuovo Cimento A (1971-1996)

Summary

Standard relativistic spin-3/2 wave equations with auxiliary spins 1/2 and 3/2 of arbitrary multiplicity are examined. The problem of explicitly constructing all possible Γ-matrices for such equations is partially solved. This partial solution is used to prove that all equations of Harish-Chandra degree four lead to acausal generalized Klein-Gordon equations.

Riassunto

Si esaminano equazioni d'onda standard relativistiche con spin 3/2, con spin ausiliari 1/2 e 3/2 di molteplicità arbitraria. Si risolve parzialmente il problema di costruire esplicitamente tutte le possibili matrici Γ di queste equazioni. Si usa questa soluzione parziale per provare che tutte le equazioni di grado quattro di Harish-Chandra portano ad equazioni acausali generalizzate di Klein-Gordon.

Резюме

Исследуются стандартные релятивистские волновые уравнения для спина 3/2с вспомогателяными спинами 1/2 и 3/2 для произвольной мнодественности. Частично решается проблема конструирования всех возможных Γ матриц для таких уравнений. Эти парциальные решения используются для доказательства, что все уравнения для четырех степеней свободы Хариша-Чандра приводят к неичинным обобщенным уравнениям Клейна-Гордона.

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References

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Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Berlin

    G. Labonté

  2. Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ont.

    G. Labonté

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  1. G. Labonté
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Labonté, G. On the spin-3/2 wave equations with auxiliary spins 1/2;3/2; Acausality for Harish-Chandra degree four. Il Nuovo Cimento A (1971-1996) 78, 251–264 (1983). https://doi.org/10.1007/BF02778185

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  • DOI: https://doi.org/10.1007/BF02778185

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