Symanzik Improvement with Dynamical Charm: A 3+1 Scheme for Wilson Quarks

TL;DR

This paper develops a nonperturbative method to improve lattice QCD simulations with dynamical charm quarks by determining an optimized clover coefficient for Wilson fermions, reducing lattice artefacts.

Contribution

It introduces a finite size scheme and provides a fit formula for the clover coefficient, enabling more accurate dynamical charm quark simulations in lattice QCD.

Findings

Nonperturbative estimation of $c_{sw}$ for Wilson fermions with charm quarks.

A fit formula $c_{sw}(g_0^2)$ for improved lattice actions.

Enhanced accuracy in lattice QCD simulations with dynamical charm.

Abstract

We discuss the problem of lattice artefacts in QCD simulations enhanced by the introduction of dynamical charmed quarks. In particular, we advocate the use of a massive renormalization scheme with a close to realistic charm mass. To maintain O(a) improvement for Wilson type fermions in this case we define a finite size scheme and carry out a nonperturbative estimation of the clover coefficient $c_\mathrm{sw}$. It is summarized in a fit formula $c_\mathrm{sw}(g_0^2)$ that defines an improved action suitable for future dynamical charm simulations.