# Glueball mass in non-abelian Yang Mills theory

How can the glueball mass be calculated in Yang Mills theory?

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as far as I know there is exact theoretical computation of gluball masses due to its non purturbative structure. There are numerical lattice simulations. If ever some one comes up with a theoretical calculation, Clay prize for mathematics for the Yang-Mills and Mass Gap problem awaits. –  Prathyush Nov 20 '12 at 15:10
Bob, why did you ask this question? –  user1504 Nov 20 '12 at 22:13
Cause I'm studying these things and there are not clear references... why? –  Bob Nov 21 '12 at 17:51

In principle one has to calculate the pole of correlation functions involving gauge invariant operators like $\text{Tr}F_{\mu\nu}F^{\mu\nu}$. The problem is that due to asymptotic freedom, QCD is not solvable perturbatively at low energies. This is why nonperturbative techniques like lattice QCD are used to calculate such spectra. A key achievement in this direction was the calculation of the glueball spectrum by Morningstar and Peardon: http://arxiv.org/abs/hep-lat/9901004.