Study of finite volume effects in the non-perturbative determination of $\csw$ with the SF method in full three-flavor lattice QCD

TL;DR

This paper investigates finite volume effects in the non-perturbative determination of the clover coefficient in three-flavor lattice QCD using the Schrödinger functional method, proposing a method to eliminate these effects by fixing the physical lattice size.

Contribution

It introduces a technique to remove finite volume effects in the non-perturbative calculation of $ ext{c}_{ ext{sw}}$ by maintaining a constant physical lattice extent in simulations.

Findings

Finite volume effects can be effectively removed by fixing the physical lattice size.

The method yields a more accurate determination of $ ext{c}_{ ext{sw}}$ in three-flavor QCD.

Results demonstrate improved consistency across different lattice sizes.

Abstract

The non-perturbative $\csw$ determined by the Schr\"{o}dinger functional (SF) method with the RG-improved gauge action in dynamical $N_f=3$ QCD shows a finite volume effect when the numerical simulations are carried out at a constant lattice size $L/a$. We remove the unwanted finite volume effect by keeping physical lattice extent $L$ at a constant. The details of the method and the result obtained for non-perturbative $\csw$ with a constant $L$ are reported.