Parameter Tuning of Three-Flavor Dynamical Anisotropic Clover Action

TL;DR

This paper presents a method for tuning parameters in three-flavor dynamical anisotropic clover lattice QCD using Schr"odinger functional techniques and stout-smearing, achieving efficient determination of anisotropies and fixing clover coefficients nonperturbatively.

Contribution

It introduces a Schr"odinger functional-based approach for nonperturbative tuning of anisotropic lattice parameters, improving efficiency over traditional meson dispersion methods.

Findings

The ratio $\xi_R/\xi_0$ is close to 1, simplifying parameter fixing.

Schr"odinger functional method effectively determines gauge and fermion anisotropies.

Clover coefficients satisfy nonperturbative conditions from Schr"odinger functional analysis.

Abstract

In this work, we perform parameter tuning with dynamical anisotropic clover lattices using the Schr\"odinger functional and stout-smearing in the fermion field. We find that $\xi_R/\xi_0$ is relatively close to 1 in our parameter search, which allows us to fix $\xi_0$ in our runs. We proposed to determine the gauge and fermion anisotropy in a Schr\"odinger-background small box using Wilson loop ratios and PCAC masses. We demonstrate that these ideas are equivalent to but more efficient than the conventional meson dispersion approach. The spatial and temporal clover coefficients are fixed to the tree-level tadpole-improved clover values, and we demonstrate that they satisfy the nonperturbative condition determined by Schr\"odinger functional method.