  A scalar field in (2+1) dimensional Minkowski space-time is considered.
Postulating noncommutative spatial coordinates, one is able to determine the
(UV finite) vacuum expectation value of the quantum field energy momentum
tensor. Calculation for the (3+1) case has been performed considering only two
noncommutative coordinates. The results lead to a vacuum energy with a lowered
degree of divergence, with respect to that of ordinary commutative theory.
