The string spectrum from large Wilson loops

TL;DR

This paper investigates the energy spectrum of the hadronic string in 3D SU(2) lattice gauge theory using a novel algorithm to accurately measure large Wilson loops at previously inaccessible time separations.

Contribution

It introduces a new algorithm that enables precise measurement of large Wilson loops, allowing analysis of low-lying hadronic string states at greater time separations.

Findings

Successfully measured energies of low-lying states at larger time separations.

Demonstrated the effectiveness of the new algorithm in lattice gauge theory simulations.

Provided insights into the string spectrum in three-dimensional SU(2) gauge theory.

Abstract

We look at energies of the low lying states of the hadronic string in three dimensional SU(2) lattice gauge theory by forming correlation matrices among different sources. We are able to go to previously inaccessible time separations. This is made possible by using a new algorithm proposed by L\"{u}scher and Weisz which lets us measure the exponentially small values of large Wilson loops with sufficient accuracy.