  We investigate the propagator of "f$_{0}$(600) or the $\sigma$" by the
full-QCD simulation with Wilson fermions. We calculate the mesonic correlator
in the I=0, $J^P=0^{+}$ channel on the $8^{3} \times 16$ lattice. Plaquet
action and Wilson fermion action are adopted. A coupling constant $\beta$ is
set to 4.8 and three kinds of hopping parameter, $\kappa$=0.1846, 0.1874 and
0.1891 are assayed. The disconnected diagram in the propagator is evaluated
through taking average over 500 or 1000 Z2 noise. Simulations with the larger
hopping parameter provide us with less noisy results. Though the statistics is
not yet enough, our results indicate the existence of a pole with a mass in
almost the same order as that of the $\rho$.
