Abstract

We present a numerical study of the Migdal renormalization transformation for lattice SU(3) gauge theory. We confirm the existence of a large-distance universal fixed-line action. For large ..beta.. we identify this universal action as the heat-kernel action. For small ..beta.. we find that the universal action lies on a predetermined surface of ''critical positivity.'' For space-time dimensions greater than d = 4, we provide evidence that there exists a deconfining phase transition in both SU(2) and SU(3) lattice gauge theories, and that unlike the case for d = 4 there is no window from the asymptotically free region into the confining phase.

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