Bosonization and the lattice: the $d=2$ Gross-Neveu model

We consider the lattice formulation of bosonized quantum field theories. As a non trivial example, we study the two dimensional Gross-Neveu model. Analytical investigations and direct numerical simulation strongly suggest that the lattice model reproduces the continuum physics. Anticommuting fields are not required and there are not related doubling problems. (3 PostScript figures available from the author)