LATTICE REGULARIZATION OF THE CHIRAL SCHWINGER MODEL

We analyze the chiral Schwinger model on an infinite lattice using the continuum definition of the fermion determinant and a linear interpol ation of the lattice gauge fields. Using the noncompact formulation of the gauge field action it is proven that the effective lattice model is Osterwalder-Schrader positive, which is a sufficient condition for the reconstruction of a physical Hilbert space from the model defined on a Euclidean lattice. We furthermore establish the existence of crit ical points where the corresponding continuum theory can be reconstruc ted. We show that the continuum limit for the two-point functions of f ield strength and chiral densities can be controlled analytically. The article ends with some remarks on fermionic observables.