Higher spin glueballs from functional methods

TL;DR

This paper computes the spectrum of higher spin glueballs in pure Yang-Mills theory using Dyson-Schwinger equations, achieving good agreement with lattice results for states up to spin 4.

Contribution

It introduces a comprehensive method to calculate higher spin glueball spectra using a self-contained Dyson-Schwinger equation truncation.

Findings

Calculated glueball spectrum up to spin 4

Achieved quantitative agreement with lattice data

Provided detailed basis construction for J=0 to 4

Abstract

We calculate the glueball spectrum for spin up to J=4 and positive charge parity in pure Yang-Mills theory. We construct the full bases for J=0,1,2,3,4 and discuss the relation to gauge invariant operators. Using a fully self-contained truncation of Dyson-Schwinger equations as input, we obtain ground states and first and second excited states from extrapolations of the eigenvalue curves. Where available, we find good quantitative agreement with lattice results.