Green's Function Monte Carlo study of SU(3) lattice gauge theory in (3+1)D

TL;DR

This paper employs a Green's Function Monte Carlo method to study SU(3) lattice gauge theory in (3+1) dimensions, calculating ground state energies, 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 to analyze SU(3) lattice gauge theory in (3+1)D, providing new estimates of the string tension and finite-size scaling behavior.

Findings

Ground state energy and Wilson loops calculated.

Crude estimates of string tension obtained.

Results agree with previous studies at intermediate couplings.

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.