First numerical experiences with overlap fermions based on the Brillouin kernel

TL;DR

This paper reports initial numerical results using overlap fermions with a Brillouin kernel, showing improved localization and discussing computational costs, advancing lattice QCD simulations.

Contribution

Introduces the use of the Brillouin kernel in overlap fermions and compares its properties and computational costs to the Wilson kernel.

Findings

Better localization of overlap with Brillouin kernel

Improved dispersion relations for the Brillouin kernel

Preliminary assessment of computational costs

Abstract

Numerical experiences are reported with overlap fermions which employ the Brillouin action as a kernel. After discussing the dispersion relations of both the kernel and the resulting chiral action, some of the physics features are addressed on quenched backgrounds. We find that the overlap with Brillouin kernel is much better localized than the overlap with Wilson kernel. Also a preliminary account is given of the cost of the formulation, in terms of CPU time and memory.