  We study a structure of holomorphic quantum contributions to the effective
action for ${\cal N}={1/2}$ noncommutative Wess-Zumino model. Using the symbol
operator techniques we present the one-loop chiral effective potential in a
form of integral over proper time of the appropriate heat kernel. We prove that
this kernel can be exactly found. As a result we obtain the exact integral
representation of the one-loop effective potential. Also we study the expansion
of the effective potential in a series in powers of the chiral superfield
$\Phi$ and derivative $D^2{\Phi}$ and construct a procedure for systematic
calculation of the coefficients in the series. We show that all terms in the
series without derivatives can be summed up in an explicit form.

High Energy Physics - Theory