The Running Coupling from SU(3) Potentials

TL;DR

This paper accurately determines the inter-quark potential in SU(3) gauge theory to study the running coupling constant and estimate the QCD scale parameter, using lattice simulations.

Contribution

It provides detailed results for the running coupling from lattice QCD simulations of SU(3) pure gauge theory at a specific lattice size and coupling.

Findings

Determined the running coupling over a range of distances.

Estimated the QCD scale parameter Lambda_{ar{MS}}.

Presented precise lattice results for SU(3) gauge theory.

Abstract

From an accurate determination of the inter-quark potential, one can study the running coupling constant for a range of $R$-values and hence estimate the scale $\Lambda_{\overline{\rm MS}}$. Detailed results are presented for $SU(3)$ pure gauge theory from a study of a $36^4$ lattice at $\beta=6.5$. (to appear in Proceedings of Lattice 1992 - Amsterdam)