A scaling study of the step scaling function of quenched QCD with improved gauge actions

TL;DR

This paper investigates the scaling behavior of the step scaling function in quenched QCD using improved gauge actions, confirming universality across different actions and coupling regions through numerical simulations.

Contribution

It provides a detailed analysis of the step scaling function with Iwasaki and Luescher-Weisz gauge actions, including boundary term choices and lattice artifact removal methods.

Findings

Universality of the step scaling functions confirmed at weak and strong couplings.

Low energy scale ratio measured and shown to be universal.

Perturbative removal of lattice artifacts improves extrapolation accuracy.

Abstract

We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the Iwasaki gauge action and the Luescher-Weisz gauge action. In particular, we test the choice of boundary counter terms and apply a perturbative procedure for removal of lattice artifacts for the simulation results in the extrapolation procedure. We confirm the universality of the step scaling functions at both weak and strong coupling regions. We also measure the low energy scale ratio with the Iwasaki action, and confirm its universality.