Gross-Neveu model as a laboratory for fermion discretization

We introduce a finite volume renormalization scheme for the N-Majorana-component O(N) invariant Gross-Neveu model. Universal observables are defined that are accessible to precise numerical simulation in various discretizations and allow for an extrapolation to the continuum limit. Here first numerical results with Wilson fermions are reported. For N=2 they reproduce exact finite volume continuum results in the massless Thirring model. Our N=8 data are ready for comparison for instance with staggered results in the future.