Pure-gauge SU(2) on large lattices

TL;DR

This paper computes the quark-antiquark potential in pure-gauge SU(2) on large lattices, estimating the string tension and Lambda parameter by analyzing both long-range and short-range interactions.

Contribution

It provides a detailed calculation of the $q\bar q$ potential on large lattices, including corrections for rotational invariance, and estimates the SU(2) Lambda parameter.

Findings

Estimated string tension from long-range potential

Determined asymptotic scaling behavior

Provided an estimate for the SU(2) Lambda parameter

Abstract

We have calculated the $q\bar q$ potential over a wide range of lattice separations on a $48^3\cdot56$ lattice at $\beta = 2.85$. We are able to investigate both long-range and (by correcting for the effects of lack of rotational invariance) short-range potentials. From the former we estimate the string tension and from the latter we are able to investigate asymptotic scaling. Fitting to this enables us to give an estimate for the $\Lambda$-parameter of pure-gauge SU(2).