  Dimensional reduction of finite temperature quantum field theories can be
improved with help of continous renormalisation group steps. The method is
applied to the integration of the lowest non-static ($n=\pm 1$) modes of the
finite temperature $\Phi^4$-theory. A second, physically important application
is the integration of the Debye-screened ${\bf A_0}(x)$ static scalar potential
in the gauged SU(2) Higgs model.
