Some time ago I proposed a particular partial continuum limit of a 2D
spin-less lattice fermion system with short range repulsion and away
from half filling which, as I argued, makes this model amenable to
analytical computations [arXive:math-ph/0606041]. This yields
a 2D analogue of the Luttinger model which can be exactly solved
by bosonization.
In my talk I provide motivation and background for this work. I also plan
to present some recent results.