Testing Dimensional Reduction in SU(2) Gauge Theory
Abstract
At high temperature, every (d+1)-dimensional theory can be reformulated as an effective theory in d dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively determined effective couplings with lattice results as the temperature is progressively lowered. We observe an increasing disagreement between numerical and perturbative values from T=4 Tc downwards, which may however be due to somewhat different implementations of dimensional reduction in the two cases.
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