  Non-Abelian gauge fields having a line-singularity of the Dirac type lead us
to violation of the non-Abelian Bianchi identity. The violation as an operator
is equivalent to violation of Abelian-like Bianchi identities corresponding to
eight Abelian-like conserved magnetic monopole currents of the Dirac type in
$SU(3)$ QCD. It is very interesting to study if these new Abelian-like
monopoles are responsible for color confinement in the continuum $SU(3)$ QCD,
since any reliable candidate of color magnetic monopoles is not known yet. If
these new Abelian-like monopoles exist in the continuum limit, the Abelian dual
Meissner effect occurs, so that the linear part of the static potential between
a quark-antiquark pair is reproduced fully by those of Abelian and monopole
static potentials. These phenomena are called here as perfect Abelian and
monopole dominances. It is shown that the perfect Abelian dominance is
reproduced fairly well, whereas the perfect monopole dominance seems to be
realized for large $\beta$ when use is made of the smooth lattice
configurations in the maximally Abelian (MA) gauge. Making use of a block spin
transformation with respect to monopoles, the scaling behaviors of the monopole
density and the effective monopole action are studied. Both monopole density
and the effective monopole action which are usually a two-point function of
$\beta$ and the number of times $n$ of the block spin transformation are a
function of $b=na(\beta)$ alone for $n=1,2,3,4,6,8,12$. If the scaling behavior
is seen for up to larger $n$, it shows the existence of the continuum limit,
since $a(\beta)\to 0$ when $n\to\infty$ for fixed $b=na(\beta)$. Along with the
previous results without any gauge fixing, these new results obtained in MA
gauge suggest that the new Abelian-like monopoles play the role of color
confinement in $SU(3)$ QCD.
