  The regularized theories are non-local at the scale of the cutoff, leading so
to the usual difficulties of non-local theories. In this work the conservation
laws and causality are investigated for classical field theories with
multi-cluster action. The conservation laws are found to play a less
significant role than in local theories because due to the non-locality the
conserved quantities are not integrals of the motion, and they can exist even
without underlying symmetries. Moreover, the conservation of the energy can not
prevent instability brought about by the unbounded nature of the energy from
below. Hence a sufficient condition of stability is lost. Theories, obtained by
appropriate point splitting of local interactions are shown to be causal
thereby a necessary condition of stability can be retained.
