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 TMF, 1974, Volume 20, Number 3, Pages 320–337 (Mi tmf3843)

Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin

V. I. Belinicher

Abstract: Relativistic wave equations are obtained that describe a particle of arbitrary spin and parity and do not contain additional conditions. The fields that satisfy these equations transform in accordance with finite-dimensional reducible representations of the Lorentz group and contain principal and auxiliary components. The fields contain the least possible number of components. On the basis of these equations a Lagrangian formalism is set up and one can investigate different types of interaction. As an example, the interaction of a particle with arbitrary spin with the electromagnetic field is considered. For this case the Feynman rules are written down.

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English version:
Theoretical and Mathematical Physics, 1974, 20:3, 849–861

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Revised: 10.01.1974

Citation: V. I. Belinicher, “Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin”, TMF, 20:3 (1974), 320–337; Theoret. and Math. Phys., 20:3 (1974), 849–861

Citation in format AMSBIB
\Bibitem{Bel74} \by V.~I.~Belinicher \paper Relativistic wave equations and Lagrangian formalism for particles of arbitrary spin \jour TMF \yr 1974 \vol 20 \issue 3 \pages 320--337 \mathnet{http://mi.mathnet.ru/tmf3843} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=468720} \transl \jour Theoret. and Math. Phys. \yr 1974 \vol 20 \issue 3 \pages 849--861 \crossref{https://doi.org/10.1007/BF01040166}