At temperatures well above the transition, QCD admits a thermally reducedversion in 3D, which reproduces the long distance physics. We analyze the phasediagram, point out the relevance of Z(3) symmetry in the location of thetransition and suggest a way out to reconcile this with the data. Related tothis symmetry is the existence of an observable, the Z(N) wall, or rather its3D version, and discuss some of its advantages over other observables.
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