Abstract

The equations and the generators of Wigner's canonical realization of the [m, 1/2] representation of the Poincare group are obtained in a Lagrangian framework. This is accomplished in configuration space by defining a Lagrangian density onJ1(J r (E)) (r→∞), whereJ r (E) is the bundle of ther-jets of the Dirac vector bundleE. The expression of the charges associated with the Poincare generators is then obtained by means of an appropriate extension of the Noether theorem and the origin of a «mean spin» symmetry of the Dirac theory is briefly discussed.

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