  We carry out numerical evaluations of the motion of classical particles in
Minkowski Space $\mathbb{M}^{4}$ which are confined to the inside of a bag. In
particular, we analyze the structure of the paths evolving from the breaking of
the dilatation symmetry, the conformal symmetry and the combination of both
together. The confining forces arise directly from the corresponding
nonconserved currents. We demonstrate in our evaluations that these particles
under certain initial conditions move toward the interior of the bag.
