Pseudoclassical mechanics for the spin-0 and -1 particles

Abstract

We give an action for the massless spinning particle in pseudoclassical mechanics by using Grassmann variables. The constructed action is invariant under tau-reparametrizations, local SUSY and O(N) transformations. After quantization, for the special case N = 2, we get an action which describes the spin 0, 1 particles and topological sectors of the massless DKP theory. A SUSY formulation of the given model is also explored.