Solving Pure Yang Mills in 2+1 Dimensions

TL;DR

This paper analytically computes the glueball spectrum in 2+1 dimensional pure Yang-Mills theory using a novel ground state wave-functional, achieving excellent agreement with lattice data.

Contribution

Introduces a new non-trivial ground state wave-functional to analytically determine the glueball spectrum in 2+1D Yang-Mills theory.

Findings

Mass spectrum determined by zeros of Bessel functions

Excellent agreement with large N lattice data

Analytical approach provides new insights into the ground state

Abstract

We analytically compute the spectrum of the spin zero glueballs in the planar limit of pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by our computation of a new non-trivial form of the ground state wave-functional. The mass spectrum of the theory is determined by the zeroes of Bessel functions, and the agreement with large N lattice data is excellent.