Universality for SU(2) Yang-Mills Theory in (2+1)D

TL;DR

This paper applies Green's Function Monte Carlo to SU(2) Yang-Mills theory in (2+1)D, demonstrating universality between Hamiltonian and Euclidean formulations through precise measurements and comparisons.

Contribution

It provides the first accurate Monte Carlo measurements of ground-state energy, plaquette, and Wilson loops in this theory, confirming universality across different formulations.

Findings

Consistent results with series expansions and coupled cluster estimates.

Agreement with Euclidean Monte Carlo results by Teper.

Demonstration of universality between Hamiltonian and Euclidean approaches.

Abstract

The Green's Function Monte Carlo method of Chin et al is applied to SU(2) Yang-Mills theory in (2+1)D. Accurate measurements are obtained for the ground-state energy and mean plaquette value, and for various Wilson loops. The results are compared with series expansions and coupled cluster estimates, and with the Euclidean Monte Carlo results of Teper. A striking demonstration of universality between the Hamiltonian and Euclidean formulations is obtained.