Numerical study of staggered fermion on anisotropic lattices

TL;DR

This paper investigates calibration procedures for staggered quarks on anisotropic lattices, comparing methods in quenched and dynamical simulations, achieving high accuracy in anisotropy parameter determination.

Contribution

It introduces calibration methods for staggered quarks on anisotropic lattices and demonstrates their effectiveness in quenched and dynamical simulations.

Findings

Calibration of quark fields aligns with meson dispersion results.

Anisotropy parameters are determined within 1% accuracy.

Successful calibration at renormalized anisotropy ξ=4.

Abstract

We study calibration procedures of the staggered quarks on anisotropic lattices in the quenched approximation and in $N_f = 2$ dynamical simulations. For the calibration conditions we adopt the hadronic radii $r_0$ and the meson masses in the temporal and spatial directions. On the quenched lattice, we calibrate the quark field and compare the result with the result determined using the meson dispersion relation. In dynamical simulations, we determine the anisotropy parameters $\gamma_G$ and $\gamma_F$ simultaneously within 1% accuracy at renormalized anisotropy $\xi = a_s/a_t = 4$.