Intermediate Volumes and the Role of Instantons
An outstanding problem is to understand the formation of a mass gap and the spectrum of excitations in a non-Abelian gauge theory. Non-perturbative aspects are believed to play a crucial role, but despite much progress a simple explanation is still lacking. Over the years we have been interested in addressing this problem in a finite volume, where its size can be used as a control parameter, which is conspicuously absent in infinite volumes, in particular for formulating the binding of gluons in glueballs. Much progress was made in intermediate volumes with a torodial geometry, where results can be directly compared to lattice Monte Carlo calculations in the same physical volume .
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