  Following a previous work (hep-th/0410248), where a scalar field theory with
a modified propagator and phi^4 interaction in 4 dimensions is constructed to
be UV-finite, unitary and Lorentz invariant, we discuss in this paper general
phi^n theory in arbitrary even space-time dimensions. We show that the theory
is still UV-finite, unitary and Lorentz invariant if the propagators are chosen
to meet certain simple conditions depending on the space-time dimension but
independent of n. We also comment that our model is reminiscent of string
theory in the way UV divergence is avoided.
