Static $\bar{Q}$-$Q$ Potential from $N_f=2$ Dynamical Domain-Wall QCD

TL;DR

This study computes the static quark-antiquark potential in both quenched and dynamical lattice QCD with domain-wall fermions, revealing differences in excited state mixing, lattice spacing, and Coulomb coefficient between the two setups.

Contribution

It provides the first detailed comparison of static potentials in quenched and two-flavor dynamical domain-wall QCD using specific gauge and fermion actions.

Findings

Excited state mixing differs between quenched and dynamical simulations.

Lattice spacings are comparable to the rho meson scale in dynamical QCD.

The Coulomb coefficient is smaller in dynamical than in quenched QCD at ~2 GeV.

Abstract

We calculate the static quark and anti-quark potential both in quenched and two-flavor dynamical quark lattice QCD using DBW2 gauge and domain-wall quark actions. Lattice spacings from Sommer scale are determined. We find (i) mixing of excited states is different in between quenched and dynamical, (ii) lattice spacing $a_{r_0}\sim a_{m_{\rho}}$ in dynamical and (iii) coefficient of Coulomb term being $\alpha_{N_f=0}<\alpha_{N_f=2}$ at $a^{-1}\sim$ 2 GeV.