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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1980 Volume 44, Number 3, Pages 321–326 (Mi tmf3620)

This article is cited in 36 papers

Supersymmetric lagrangian for particles in proper time

D. V. Volkov, A. I. Pashnev


Abstract: A point particle in superspace is considered. As an action for such a particle, the element of length of the particle trajectory is used. Due to the using of indegenerate metrics in the superspace, the quantization is performed completely and the spectrum of physical states is found which contains three irreducible supermultiplets split by mass. Two of these supermultiplets are scalar ones and the third is the vector one.

Received: 10.08.1979


 English version:
Theoretical and Mathematical Physics, 1980, 44:3, 770–773

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© Steklov Math. Inst. of RAS, 2025