Green's Function Monte Carlo study of correlation functions in the (2+1)D U(1) lattice gauge theory

TL;DR

This paper introduces a Quantum Monte Carlo algorithm to accurately compute correlation functions and physical quantities like string tension and mass gaps in (2+1)D U(1) lattice gauge theory, demonstrating consistency with existing methods.

Contribution

A novel forward walking QMC algorithm for Hamiltonian lattice gauge theories that accurately computes Wilson loops, string tension, and mass gaps.

Findings

High-accuracy calculation of Wilson loops

String tension results agree with other approaches

Mass gaps match series expansion results in strong coupling

Abstract

A ``forward walking'' Quantum Monte Carlo (QMC) algorithm has been developed to calculate correlation functions for the Hamiltonian lattice formulation of U(1) Yang-Mills theory in (2+1) dimensions. It is shown that Wilson loops can be calculated with high accuracy. Creutz ratios are used to determine the string tension, which agrees with results from other approaches. Timelike correlations are used to estimate the mass gaps, which agree with series expansion results in the strong coupling regime.