Abstract
Properties of the quantized SU(n) Yang-Mills fields, for n = 2, 3, and 4, have been studied numerically. We apply the Hamiltonian formalism to the continuum theory, with a truncated momentum expansion in a finite volume, and have examined states in the vacuum sector using variational methods in the Coulomb gauge. The results depend on the strength of the interaction constant ..cap alpha.., with a transition at n..cap alpha..approx.1. For small ..cap alpha.., there is a gap between excited-state energies and the vacuum energy, but the excited 0/sup + +/ states correspond to pairs of weakly interacting transverse gluons. For larger ..cap alpha.., the excited states are associated with a collective degree of freedom and can be identified with a glueball. There is no evidence for the existence of an instability associated with magnetic interactions
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