Yang–Mills Spectrum with an Arbitrary Simple Gauge Algebra

Abstract

The mass spectrum of pure Yang–Mills theory in 3 + 1 dimensions is discussed for an arbitrary simple gauge algebra within a quasigluon picture. The general structure of the low-lying gluelump and glueball spectrum is shown to be common to all algebras, excepted the lightest C = − glueballs that only exist when the gauge algebra is A r≥2. The shape of the static energy between adjoint sources is also discussed assuming the Casimir scaling hypothesis and finally, the obtained results are shown to be consistent with existing lattice data in the large-N limit of an \({\mathfrak{su}(N)}\) gauge algebra.