The glueball spectrum of SU(3) gauge theory in 3+1 dimension

TL;DR

This paper computes the low-lying glueball spectrum of SU(3) gauge theory in 3+1 dimensions using lattice simulations, extrapolating results to the continuum and providing physical units, with analysis of topological properties.

Contribution

It provides a detailed calculation of the glueball spectrum in SU(3) gauge theory, including continuum extrapolation and topological charge analysis, which advances understanding of non-perturbative QCD.

Findings

Glueball masses in various representations and quantum numbers.

Continuum limit of the glueball spectrum in physical units.

Topological susceptibility and charge renormalization results.

Abstract

We calculate the low-lying glueball spectrum of the SU(3) lattice gauge theory in 3+1 dimensions for the range of beta up to beta=6.50 using the standard plaquette action. We do so for states in all the representations R of the cubic rotation group, and for both values of parity P and charge conjugation C. We extrapolate these results to the continuum limit of the theory using the confining string tension as our energy scale. We also present our results in units of the r0 scale and, from that, in terms of physical `GeV' units. For a number of these states we are able to identify their continuum spins J with very little ambiguity. We also calculate the topological charge Q of the lattice gauge fields so as to show that we have sufficient ergodicity throughout our range of beta, and we calculate the multiplicative renormalisation of Q as a function of beta. We also obtain the continuum limit of the SU(3) topological susceptibility.