Quenched glueballs in the DSE/BSE framework

TL;DR

This paper calculates the spectrum of various glueballs using the DSE/BSE framework in quenched QCD, showing good agreement with lattice results and exploring effects of additional diagrams on scalar glueballs.

Contribution

It provides the first calculation of glueball spectra in the DSE/BSE framework with parameter-free inputs, including effects of additional diagrams.

Findings

Results agree well with lattice data

Additional diagrams have a suppressed effect on scalar glueballs

Contains predictions for states not yet observed

Abstract

The spectrum of glueballs with quantum numbers $J^\mathsf{PC}=0^{\pm+},2^{\pm+},3^{\pm+},4^{\pm+}$ is calculated in quenched quantum chromodynamics from bound state equations. The input is taken from a parameter-free calculation of two- and three-point functions. Our results agree well with lattice results where available and contain also some additional states. For the scalar glueball, we present first results for the effects of additional diagrams which turn out to be strongly suppressed.