Svetitsky and Yaffe have argued that — if the deconfinement phase transition of a (d+1)-dimensional Yang-Mills theory with gauge group G is second order — it should be in the universality class of a d-dimensional scalar model symmetric under the center C(G) of G. These arguments have been investigated numerically only considering Yang-Mills theory with gauge symmetry in the G = SU(N) branch, wh...

It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R. We show that such solutions exist in SU(N) gauge theory on the spaces R × S and R × S × S with Minkowski signature (− + ++). In the temporal gauge they are solutions of pure Yang-Mills theory on T × S, where T is R or S. Namely, imposing SO(3)-invariance and some reality cond...