Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing

TL;DR

This paper details the parameter tuning of three-flavor anisotropic clover fermions with stout-link smearing on lattices, establishing nonperturbative conditions for gauge and fermionic anisotropies suitable for hadron spectrum studies.

Contribution

It introduces a method for tuning anisotropic clover fermions with stout-link smearing, ensuring nonperturbative anisotropy conditions are met for three-flavor dynamical simulations.

Findings

Gauge and fermionic anisotropies fixed to quark mass independent values.

Achieved lattice spacing of approximately 0.12 fm with anisotropy ξ=3.5.

Validated nonperturbative conditions using Schrödinger functional method.

Abstract

In this work we perform the parameter tuning of three flavors of dynamical clover quarks on anisotropic lattices. The fermion action uses three-dimensional spatial stout-link smearing. The gauge anisotropy is determined in a small box with Schr\"odinger background using Wilson-loop ratios. The fermion anisotropy is obtained from studying the meson dispersion relation with antiperiodic boundary conditions in the time direction. The spatial and temporal clover coefficients are fixed to the tree-level tadpole-improved values, and we demonstrate that they satisfy the nonperturbative conditions as determined by the Schr\"odinger functional method. For the desired lattice spacing $a_s\approx 0.12$ fm and renormalized anisotropy $\xi=3.5$, we find the gauge and fermionic anisotropies can be fixed to quark mass independent values up through the strange quark mass. This work lays the foundation needed for further studies of the excited-state hadron spectrum.