PERFECT LATTICE ACTIONS FOR THE GROSS-NEVEU MODEL

We apply the method of Hasenfratz and Niedermayer to analytically cons truct perfect lattice actions for the Gross-Neveu model. In the large N limit these actions display an exactly perfect scaling, i.e. cut-off artifacts are completely eliminated even at arbitrarily short correla tion length. Also the energy spectrum coincides with the spectrum in t he continuum and continuous translation and rotation symmetries are re stored in physical observables. This is the first (analytic) construct ion of an exactly perfect lattice action at finite correlation length.