Computation of the string tension in three dimensional Yang-Mills theory using large N reduction

TL;DR

This paper numerically computes the string tension in three-dimensional Yang-Mills theory at large N using Wilson loops, continuum reduction, and different loop configurations to analyze the non-perturbative properties of the theory.

Contribution

It introduces a numerical method combining smeared space-like links, unsmeared time-like links, and continuum reduction to accurately compute the string tension in large N Yang-Mills theory.

Findings

Successful computation of string tension at large N

Validation of continuum reduction approach

Comparison of unfolded and folded Wilson loops

Abstract

We numerically compute the string tension in the large N limit of three dimensional Yang-Mills theory using Wilson loops. Space-time loops are formed as products of smeared space-like links and unsmeared time-like links. We use continuum reduction and both unfolded and folded Wilson loops in the analysis.