Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation

TL;DR

This paper introduces new numerical techniques for implementing the overlap-Dirac operator that leverage physical insights, tested in the Schwinger model, with promising results applicable to QCD simulations.

Contribution

It presents novel, physics-motivated methods for the overlap-Dirac operator implementation that avoid nested algorithms, demonstrated in the Schwinger model.

Findings

Techniques successfully tested in the Schwinger model

Results show improved efficiency and accuracy

Potential for application in QCD simulations

Abstract

We propose new techniques for the numerical implementation of 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. These techniques can be directly applied to QCD simulations. We also present a detailed computation of the spectrum and the chiral properties of the Schwinger model in the overlap lattice formulation.