NONLOCAL LATTICE FERMIONIC MODELS ON A 2-DIMENSIONAL TORUS

Abelian fermionic models described by the SLAG action on a two-dimensi onal finite lattice are considered. In vector U(1) models modified by introducing additional Pauli-Villars regularization, nonlocal effects are suppressed, and the results are in good agreement with the continu ous-theory results. For chiral fermions. the lattice determinant phase differs from the determinant phase in the continuous theory.