Lattice regularization of the chiral Schwinger model
Abstract
We analyze the chiral Schwinger model on an infinite lattice using the continuum definition of the fermion determinant and a linear interpolation of the lattice gauge fields. Using the noncompact formulation of the gauge field action it is proven that the effective lattice model is OsterwalderSchrader 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 critical points where the corresponding continuum theory can be reconstructed. We show that the continuum limit for the twopoint functions of field strength and chiral densities can be controlled analytically. The article ends with some remarks on fermionic observables.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)003616
 arXiv:
 arXiv:heplat/9604002
 Bibcode:
 1996NuPhB.476..374G
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 18 pages