| Abstract: | The class of second order Lagrangian for the scalar field is including free divergence terms giving rise to new canonical conservation laws by means of Noethers theorem. The appearance of a spin like tensor S within angular momentum is nothing but a redefinition of orbital angular momentum. S is mainly giving a new definition of center of mass for the field, indicating that the variation for the motion of singularities is nothing but a redefinition for the motion, since the sum for the additional forces, coming from divergence part of Lagrangian, is zero. Thus, the physical content of the theory will not be affected by the divergence part of Lagrangian, is zero. Thus, the physical content of the theory will not be affected by the divergence termes; it is only an other formulation. |
