Abstract
The pure SU(2) Yang-Mills gauge field theory is studied in D=5 Euclidean dimensions in which case the continuum theory is nonrenormalizable. By a compactification of one dimension the effective theory, on the tree level, is equivalent to a D=4 SU(2) gauge theory with adjoint scalar fields. In a Monte Carlo (MC) simulation of the lattice regularized theory we confirm the existence of a first order phase transition; on asymmetric lattices we also find a higher order phase “finite temperature” transition. It is argued that the low energy continuum limit of the compactified theory nonperturbatively agrees with the renormalizable adjoint Higgs model in D=4 in the unbroken, confining phase.
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