Physics prospects of UV-filtered overlap quarks

TL;DR

This paper explores the properties and computational advantages of UV-filtered overlap quarks, including spectral behavior, localization, renormalization, and preliminary scaling results for light and strange quarks.

Contribution

It introduces a UV-filtered Wilson kernel in the overlap operator, analyzing its spectral features, localization, renormalization, and providing initial scaling results.

Findings

Spectral properties show observed speedup in overlap construction.

Localization and renormalization constants are characterized.

Preliminary scaling results for meson decay constants and quark masses are presented.

Abstract

Some key features of the overlap operator with a UV-filtered Wilson kernel are discussed. The first part concerns spectral properties of the underlying shifted hermitean Wilson operator and the relation to the observed speedup of the overlap construction. Next, the localization of the filtered overlap and its axial-vector renormalization constant are discussed. Finally, results of an exploratory scaling study for $m_{ud}, m_s$ and $f_\pi, f_K$ are presented.