  We show that non-locality in the conservation of both the order parameter and
a noncritical density (model D dynamics) leads to new fixed points for critical
dynamics. Depending upon the parameters characterizing the non-locality in the
two fields, we find four regions: (i) model-A like where both the conservations
are irrelevant (ii) model B-like with the conservation in the order parameter
field relevant and the conservation in the coupling field irrelevant (iii)
model C like where the conservation in the order parameter field is irrelevant
but the conservation in the coupling field is relevant, and (iv) model D-like
where both the conservations are relevant. While the first three behaviours are
already known in dynamical critical phenomena, the last one is a novel
phenomena due entirely to the non-locality in the two fields.
