# Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory

## TL;DR

This paper calculates the low-lying glueball spectrum in weakly-coupled (2+1)-dimensional anisotropic SU(2) Yang-Mills theory, revealing that the lightest states are bound pairs of sigma model particles with a linear potential.

## Contribution

It provides a novel analytical approach to determine the glueball spectrum in anisotropic (2+1)D Yang-Mills theory at weak coupling, utilizing the sigma model S-matrix.

## Key findings

- Lightest excitations are bound pairs of sigma model particles.
- Spectrum determined by the sigma model S-matrix and linear potential.
- Analytical results match expected confinement properties.

## Abstract

The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the (1+1)-dimensional SU(2)XSU(2) principal chiral sigma model bound in a linear potential, with a specified matching condition where the particles overlap. This matching condition can be determined from the exactly-known S-matrix for the sigma model.