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We present numerical results for pure SU(2) Yang-Mills theory in fourspace-time dimensions using a novel algorithm based on dually transformedvariables. The simulation makes use of a recently derived O(j^4) algorithm forthe dual vertex amplitude and a dual Metropolis algorithm that generalizes theone recently developed for three dimensions. The dual algorithm is validatedagainst the equivalent model using conventional variables over a range ofcouplings, spin cut-offs, and lattice sizes. We consider a lattice size up to8x8x8x8, where the problem of negative amplitudes renders the simulationresults excessively noisy even at a relatively low beta (starting at aboutbeta=1.8). In conclusion, we survey some approaches to addressing the signproblem in this context and increasing the efficiency of dual computationswithin this approach.

Dual Non-Abelian Yang-Mills Simulations in Four Dimensions