A note on superfields and noncommutative geometry

We consider the supersymmetric field theories on the noncommutative R-4 usi ng the superspace formalism on the commutative space. The terms depending o n the parameter- of the nuncommutativity Theta are regarded as the interact ions. In this way we construct the N = 1 supersymmetric action fur the U(N) vector multiplets and chiral multiplets of the fundamental, anti-fundament al and adjoint representations of the gauge group. Thr action for vector mu ltiplets of the products gauge group and its bi-fundamental matters is also obtained. We discuss the problem of the derivative terms of the auxiliary fields. (C) f2000 Elsevier Science B.V. All rights reserved.