The Parametrized Relativistic Particle and the Snyder space-time
  Using the parametrized relativistic particle we obtain the noncommutative Snyder space-time. In addition, we study the consistency conditions between the boundary conditions and the canonical gauges that give origin to noncommutative theories. Using these results we construct a first order action, in the reduced phase-space, for the Snyder particle with momenta fixed on the boundary. 
Juan M. Romero and J. David Vergara