Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung

► We construct free of Zitterbewegung non-Grassmannian particle model. ► Canonical quantization of the model implies the Dirac equation. ► The variable under Zitterbewegung is a gauge non-invariant variable. ► In non-relativistic limit spin is described by three-vector, as it could be expected.