Abstract
I review recent progress in numerical studies of the Feynman path integral for non‐Abelian gauge theories. In the quarkless theory, numerical relations between the glueball mass, the confinement potential, and the scale of asymptotic freedom have been obtained. Renormalization group analysis has confirmed that the Gell‐Mann Low function for the lattice SU(2) theory of Wilson has no non‐trivial zeros. New phase transitions have been found in SU(4) and SU(5) gauge theories. These may be an artifact of the Wilson form for the action.
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