Exact results and approximation schemes for the Schwinger model with the overlap Dirac operator

TL;DR

This paper introduces new numerical techniques for implementing the overlap-Dirac operator in lattice gauge theories, tested on the Schwinger model, providing insights into its spectrum and chiral properties.

Contribution

It presents novel methods to efficiently compute the overlap-Dirac operator, avoiding nested algorithms, with detailed spectral and chiral analysis in the Schwinger model.

Findings

Successful implementation of new techniques in the Schwinger model

Accurate computation of spectrum and chiral properties

Promising results indicating improved numerical efficiency

Abstract

We propose new techniques to implement numerically the overlap-Dirac operator which exploit the physical properties of the underlying theory to avoid nested algorithms. We test these procedures in the two-dimensional Schwinger model and the results are very promising. We also present a detailed computation of the spectrum and chiral properties of the Schwinger Model in the overlap lattice formulation.