Equivalence of the spinning superparticle descriptions with grassmann variables or with c-number spinors

Abstract

A remarkable equivalence is established between the theories of spinning particles or superparticles using anticommuting Grassmann variables on the one hand and commuting c-number spinors on the other. We consider both real and complex Grassmann variables and map the equations of motion and the supersymmetry transformation from one theory to another. The more intuitive c-number theory allows us to generalize the notion of Zitterbewegung to strings and membranes. A hidden supersymmetry exists in the classical model of the Dirac electron.