  We consider a model composed of Landau quasiparticle states with patched
Fermi surfaces (FS) sandwiched by states with flat FS to simulate the ``cold''
spot regions in cuprates. We calculate the one particle irreducible function
and the self-energy up to two-loop order. Using renormalization group arguments
we show that in the forward scattering channel the renormalized coupling
constant is never infrared stable due to the flat FS sectors. Furthemore we
show that the self-energy scales with energy as ${\rm Re} \Sigma \sim \omega
\ln \omega $ as $\omega \to 0$, and thus the Fermi liquid state within each FS
patch is turned into a marginal Fermi liquid.
