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

TL;DR

This paper employs continuum reduction and Monte Carlo simulations to compute the string tension in four-dimensional large N Yang-Mills theory, providing insights into the heavy quark potential at significant lattice separations.

Contribution

It introduces a method combining continuum reduction with Monte Carlo simulation to accurately calculate the string tension in large N Yang-Mills theory.

Findings

Calculated heavy quark potential up to nine lattice units

Determined string tension in four-dimensional Yang-Mills theory

Validated large N reduction approach for potential computation

Abstract

Continuum reduction and Monte Carlo simulation are used to calculate the heavy quark potential and the string tension in large N Yang-Mills theory in four dimensions. The potential is calculated out to a separation of nine lattice units on a lattice with extent six in each direction.