  We consider spinless electrons in two dimensions with the bare spectrum
$\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among
electrons have a finite range $q_0$, which is small compared to the Fermi
momentum. A golden rule calculation of the electron lifetime indicates a
breakdown of the Landau Fermi liquid in the model. At the one-loop level of
perturbation theory, we show that the density wave and the superconducting
instabilities cancel each other and there is no symmetry breaking. We solve the
model via bosonization; the excitation spectrum is found to consist of gapless
bosonic modes as in a one-dimensional Luttinger liquid.
