English

Comments on spin operators and spin-polarization states of 2+1 fermions

High Energy Physics - Theory 2009-11-13 v1

Abstract

In this brief article we discuss spin polarization operators and spin polarization states of 2+1 massive Dirac fermions and find a convenient representation by the help of 4-spinors for their description. We stress that in particular the use of such a representation allows us to introduce the conserved covariant spin operator in the 2+1 field theory. Another advantage of this representation is related to the pseudoclassical limit of the theory. Indeed, quantization of the pseudoclassical model of a spinning particle in 2+1 dimensions leads to the 4-spinor representation as the adequate realization of the operator algebra, where the corresponding operator of a first-class constraint, which cannot be gauged out by imposing the gauge condition, is just the covariant operator previously introduced in the quantum theory.

Keywords

Cite

@article{arxiv.hep-th/0701062,
  title  = {Comments on spin operators and spin-polarization states of 2+1 fermions},
  author = {S. P. Gavrilov and D. M. Gitman and J. L. Tomazelli},
  journal= {arXiv preprint arXiv:hep-th/0701062},
  year   = {2009}
}

Comments

6 pages