Properties of Overlap and Domain Wall Fermions in the 2+1D Thirring Model

TL;DR

This paper investigates the properties of overlap and domain wall fermions in the 2+1D Thirring model, focusing on numerical methods and the effects of non-compact formulations.

Contribution

It introduces a partially quenched approach for overlap/domain wall operators in the 2+1D Thirring model and explores numerical strategies to handle non-compact formulations.

Findings

Lower accuracy sea fermions can be effectively used.

Eigenvalues and condensates vary with different overlap operators.

Numerical challenges of non-compact formulations are identified.

Abstract

We present some results pertaining to partially quenched formulations of the overlap/domain wall operator with the Thirring model in 2+1D. Auxiliary fields are generated with a Shamir domain wall approach and measurements of eigenvalues and condensates are contrasted with different overlap operators. The numerical challenge posed by a non-compact formulation is highlighted, and the effective use of lower accuracy sea fermions is demonstrated.