  A new approach is proposed which encompasses the dynamical mean field theory
(DMFT) for strongly correlated electron systems and the self-consistent
renormalization (SCR) theory of spin fluctuations. The latter is incorporated
into DMFT as a $O(1/d)$ correction, where $d$ is the spatial dimensionality,
but in a phenomenological way. The DMFT is completely recovered when the effect
of spin fluctuation is omitted, whereas the properties at the quantum critical
point (QCP) is the same as the SCR theory. An example of calculation is
presented for the single band Hubbard model and the non-Fermi liquid behavior
is demonstrated at QCP.
