Mobility edge and locality of the overlap-Dirac operator with and without dynamical overlap fermions

TL;DR

This paper investigates the spectral properties of the overlap-Dirac operator to optimize dynamical overlap fermion simulations, focusing on eigenvalue distribution, mobility edge, and locality to improve computational efficiency and physical accuracy.

Contribution

It provides a systematic analysis of low-lying eigenmodes and identifies optimal gauge actions for more efficient and local dynamical overlap fermion simulations.

Findings

Identification of gauge actions that lower numerical cost

Enhanced locality properties of the overlap kernel

Insights into the distribution of low-lying eigenvalues

Abstract

We perform a systematic study of low-lying eigenmodes of $H_w$ with various gauge actions to find the optimal choice for dynamical overlap fermion simulations, with which one may achieve lower numerical cost for HMC and better locality property of the overlap kernel. For this purpose, our study is made with emphasis on the distribution of low-lying eigenvalues and the mobility edge with and without dynamical overlap fermions.