Anisotropic lattice with nonperturbative accuracy

TL;DR

This paper achieves high-precision nonperturbative determination of anisotropic parameters and O(a)-improvement coefficients in lattice gauge theory, enhancing the accuracy of simulations in the quenched approximation.

Contribution

It provides the first precise nonperturbative measurements of the anisotropic gauge action parameter and O(a)-improvement coefficients using advanced techniques.

Findings

Nonperturbative anisotropic parameter determined with less than 1% error.

Effective use of Schr"odinger functional method for O(a)-improvement.

Validated methods for accurate lattice gauge theory simulations.

Abstract

We determine the nonperturbative anisotropic parameter of the gauge action in the quenched approximation with less than 1% accuracy using the Sommer scale measured by the L\"uscher-Weisz algorithm or smearing technique. We also study the nonperturbative O(a)-improvement of the quark action. The bare quark anisotropy is determined using the masses from the temporal and spatial directions. For the determination of the $O(a)$ improvement coefficients, we apply the Schr\"odinger functional method.