Green's Function Monte Carlo approach to SU(3) Yang-Mills theory in (3+1)D

TL;DR

This paper applies a Green's Function Monte Carlo method to study SU(3) lattice Yang-Mills theory in (3+1) dimensions, calculating ground state energy, Wilson loops, and estimating string tension, with results aligning with prior findings at intermediate couplings.

Contribution

It introduces a 'forward walking' Green's Function Monte Carlo algorithm for SU(3) Yang-Mills theory in four dimensions, providing new computational insights into its ground state and confinement properties.

Findings

Ground state energy and Wilson loops computed.

Crude estimates of string tension agree with previous results.

Scaling behavior at weak coupling remains to be established.

Abstract

A 'forward walking' Green's Function Monte Carlo algorithm is used to obtain expectation values for SU(3) lattice Yang-Mills theory in (3+1) dimensions. The ground state energy and Wilson loops are calculated, and the finite-size scaling behaviour is explored. Crude estimates of the string tension are derived, which agree with previous results at intermediate couplings; but more accurate results for larger loops will be required to establish scaling behaviour at weak coupling.