Regular Article - Theoretical Physics
The structure of the Yang–Mills spectrum for arbitrary simple gauge algebras
Service de Physique Nucléaire et Subnucléaire, Université de Mons—UMONS, Place du Parc 20, 7000, Mons, Belgium
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Revised: 20 April 2011
Published online: 27 May 2011
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 two-quasigluon glueball spectrum is shown to be common to all algebras, while the lightest C=− three-quasigluon glueballs only exist when the gauge algebra is A r≥2, that is, in particular, . Higher-lying C=− glueballs are shown to exist only for the A r≥2, Dodd−r≥4 and E6 gauge algebras. The shape of the static energy between adjoint sources is also discussed assuming the Casimir scaling hypothesis and a funnel form; it appears to be gauge-algebra dependent when at least three sources are considered. As a main result, the present framework’s predictions are shown to be consistent with available lattice data in the particular case of an gauge algebra within ’t Hooft’s large-N limit.
© Springer-Verlag / Società Italiana di Fisica, 2011