THE EXACT EQUIVALENCE OF THE ONE-FLAVOR LATTICE THIRRING-MODEL WITH WILSON-FERMIONS TO A 2-COLOR LOOP MODEL

Within Euclidean lattice field theory an exact equivalence between the one-flavour 2D Thirring model with Wilson fermions and Wilson paramet er r = 1 to a two-colour loop model on the square lattice is establish ed. For non-interacting fermions this model reduces to an exactly solv ed loop model which is known to be a free fermion model. The two-colou r loop model equivalent to the Thirring model can also be understood a s a 4-state 49-vertex model. (C) 1997 Elsevier Science B.V. PACS: 11.1 5.Tk; 05.50.+q; 11.10.Kk; 71.10.Fd.