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We consider a model composed of Landau quasiparticle states with patchedFermi surfaces (FS) sandwiched by states with flat FS to simulate the ``cold''spot regions in cuprates. We calculate the one particle irreducible functionand the self-energy up to two-loop order. Using renormalization group argumentswe show that in the forward scattering channel the renormalized couplingconstant is never infrared stable due to the flat FS sectors. Furthemore weshow 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 FSpatch is turned into a marginal Fermi liquid.Comment: 5 pages, 3 ps figure

MARGINAL FERMI LIQUID WITH A TWO-DIMENSIONAL PATCHED FERMI SURFACE