SU(2) Potentials from Large Lattices

TL;DR

This paper presents precise measurements of the inter-quark potential in SU(2) gauge theory on large lattices, extracting the string tension and running coupling to estimate the QCD scale parameter.

Contribution

The study provides high-accuracy inter-quark potential data on large lattices and determines the running coupling and scale parameter in SU(2) gauge theory.

Findings

Measured string tension: √K a = 0.063(3) at β=2.85

Extracted running coupling constant in the small-R region

Estimated the QCD scale parameter Λ_MSbar = 272(24) MeV

Abstract

We measure accurate values of the inter-quark potentials on a $48^{3}56$ lattice with SU(2) pure gauge theory at $ \beta =2.85$. The scale is set by extracting the string tension - we obtain ${\sqrt K}a=0.063(3)$ at $\beta =2.85.$ From a careful study of the small-$R$ potentials in the region 2 GeV $< R^{-1} < 5$ GeV, we extract a running coupling constant and estimate the scale $\Lambda _{\msbar} = 272(24)$ MeV.