A comprehensive lattice study of SU(3) glueballs

TL;DR

This study provides a detailed lattice calculation of the SU(3) glueball spectrum across all quantum numbers, reaching the continuum limit and identifying numerous states, but finds no evidence for exotic spins below 3 GeV.

Contribution

It extends previous lattice studies of SU(3) glueballs by reaching the continuum limit and increasing the number of identified states, with a comprehensive analysis of all J^{PC} values.

Findings

Number of identified J^{PC} states increased

No clear signals for spin-exotic glueballs below 3 GeV

Comparison with experimental candidates conducted

Abstract

We present a study of the $SU(3)$ glueball spectrum for all $J^{PC}$ values at lattice spacings down to $a^{-1}=3.73 (6)$ GeV ($\beta=6.4$) using lattices of size up to $32^4$. We extend previous studies and show that the continuum limit has effectively been reached. The number of clearly identified $J^{PC}$ states has been substantially increased. There are no clear signals for spin-exotic glueballs below 3 GeV. A comparison with current experimental glueball candidates is made.