In quest of the Yang-Mills vacuum wavefunctional

TL;DR

This paper introduces a recursion method to generate lattice configurations based on approximate Yang-Mills vacuum wavefunctionals and compares their properties with standard Monte Carlo simulations.

Contribution

It presents a new recursion procedure for generating lattice configurations aligned with approximate vacuum wavefunctionals in Yang-Mills theory.

Findings

Recursion-generated configurations match key quantities from Monte Carlo simulations

The method provides a new way to study the Yang-Mills vacuum

Potential for improved analytical understanding of the vacuum structure

Abstract

A simple recursion procedure was devised to generate lattice configurations with probability distributions given by simple approximate Yang-Mills vacuum wavefunctionals. A few quantities determined in ensembles of these configurations are compared to those computed in configurations generated in standard Monte Carlo simulations of the three-dimensional Yang-Mills theory.