Pseudoclassical description of higher spins in \(2+1\) dimensions.

DOI10.1142/S0217751X97000530zbMATH Open1161.81422arXivhep-th/9602048OpenAlexW2010800024MaRDI QIDQ2773922

I. V. Tyutin, D. M. Gitman

Publication date: 27 February 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: Pseudoclassical supersymmetric model to describe massive particles with higher spins (integer and half-integer) in $2+1$ dimensions is proposed. The quantization of the model leads to the minimal (with only one polarization state) quantum theory. In particular, the Bargmann-Wigner type equations for higher spins arise in course of the canonical quantization. The cases of spin one-half and one are considered in detail. Here one gets Dirac particles and Chern-Simons particles respectively. A relation with the field theory is discussed. On the basis of the model proposed, and using dimensional reduction considerations, a model to describe Weyl particles with higher spins in $3+1$ dimensions is constructed.

Full work available at URL: https://arxiv.org/abs/hep-th/9602048

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60)

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