Lattice Regularization of the Chiral Schwinger Model

Details Lattice Regularization of the Chiral Schwinger Model Lattice Regularization of the Chiral Schwinger Model

1996-04-03

arxiv.org/abs/hep-lat/9604002v1

Nucl.Phys. B476 (1996) 374-396

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages

Scientific paper

10.1016/0550-3213(96)00361-6

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. For non-compact and Wilson 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. For the non-compact model we furthermore establish the existence of critical points where the corresponding continuum theory can be reconstructed. We show that the continuum limit for the two-point functions of field strength and chiral densities can be controlled analytically. The article ends with some remarks on fermionic observables.

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