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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited in 2 papers

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.

Received: 12.10.1971
Revised: 10.01.1974


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

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© Steklov Math. Inst. of RAS, 2026