On the Glueball Spectrum of Pure Yang-Mills Theory in 2+1 Dimensions

TL;DR

This paper analytically computes the lowest spin glueball spectrum in 2+1 dimensional pure Yang-Mills theory, introducing a new wave-functional expression that aligns well with lattice data.

Contribution

It provides a novel non-trivial wave-functional derived from the Schrödinger equation, enabling an analytic determination of the glueball spectrum in 2+1 dimensions.

Findings

Mass spectrum determined by zeros of Bessel functions

Excellent agreement with lattice data

New wave-functional expression derived from Schrödinger equation

Abstract

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2+1 dimensions. The new ingredient is provided by the conjectured new non-trivial expression for the (quasi)Gaussian part of the ground state wave-functional. We show that this wave-functional can be derived by solving the Schrodinger equation under certain assumptions. The mass spectrum of the theory is determined by the zeros of Bessel functions, and the agreement with available lattice data is excellent.