Exploring the spectrum of QCD using a space-time lattice

TL;DR

This paper reviews Monte Carlo lattice QCD simulations exploring the spectrum of QCD, including glueball masses, gluonic excitations, and baryon spectra, highlighting methods to identify quantum numbers.

Contribution

It discusses recent computational approaches and techniques for analyzing QCD spectra using lattice simulations, emphasizing the use of symmetry groups for spin identification.

Findings

Glueball masses in pure-gauge theory reviewed

Gluonic excitation energies in static quark-antiquark pairs analyzed

Efforts to compute baryon spectrum using extended operators

Abstract

Some past and ongoing explorations of the spectrum of QCD using Monte Carlo simulations on a space-time lattice are described. Glueball masses in the pure-gauge theory are reviewed, and the energies of gluonic excitations in the presence of a static quark-antiquark pair are discussed. Current efforts to compute the baryon spectrum using extended three-quark operators are also presented, emphasizing the need to use irreducible representations of the cubic point group to identify spin quantum numbers in the continuum limit.