  In the previous paper\cite{KS00b}, we derived the Abelian projected effective
gauge theory as a low energy effective theory of the SU(N) Yang-Mills theory by
adopting the maximal Abelian gauge. At that time, we have demonstrated the
multiplicative renormalizability of the propagators for the diagonal gluon and
the dual Abelian anti-symmetric tensor field. In this paper, we show the
multiplicative renormalizability of the Green's functions also for the
off-diagonal gluon. Moreover we complement the previous results by calculating
the anomalous dimension and the renormalization group functions which are
undetermined in the previous paper.
