Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation

TL;DR

This paper presents the initial numerical Monte Carlo simulations of QCD with four quark flavors (u, d, s, c) using the twisted-mass Wilson lattice formulation, exploring parameter tuning on different lattice sizes and spacings.

Contribution

It is the first study to perform such simulations with two quark doublets, including a mass-split doublet for s and c quarks, in the twisted-mass Wilson framework.

Findings

Successful parameter tuning on 12^3x24 and 16^3x32 lattices.

Demonstrated feasibility of simulating four-flavor QCD with twisted-mass Wilson fermions.

Provided initial insights into lattice spacing effects and tuning procedures.

Abstract

A first study of numerical Monte Carlo simulations with two quark doublets, a mass-degenerate one and a mass-split one, interpreted as u, d, s and c quarks, is carried out in the framework of the twisted mass Wilson lattice formulation. Tuning the bare parameters of this theory is explored on 12^3x24 and 16^3x32 lattices at lattice spacings a=0.20fm and a=0.15fm, respectively.