Ground-state wave-functional in (2+1)-dimensional Yang-Mills theory: Abelian limit, spectrum and robustness

TL;DR

This paper calculates the glueball spectrum in (2+1)-dimensional Yang-Mills theory using a ground-state wave-functional approach in the Abelian limit, showing consistency with previous results at high momentum.

Contribution

It introduces a method to analyze the glueball spectrum via the Leigh-Minic-Yelnikov wave-functional, incorporating the WZW measure with a controlled approximation.

Findings

Spectrum matches previous results at large momentum

WZW measure contribution is effectively approximated

Method provides insights into the ground-state structure

Abstract

We compute the glueball spectrum in (2+1)-dimensional Yang-Mills theory by analyzing correlators of the Leigh-Minic-Yelnikov ground-state wave-functional in the Abelian limit. The contribution of the WZW measure is treated by a controlled approximation and the resulting spectrum is shown to reduce to that obtained by Leigh et al., at large momentum.