The two confining phases of lattice gauge theories

I suggest that the roughening transition of lattice gauge theories is the boundary between two different confining phases: In the hot phase the short-distance interquark potential is exponentially decreasing, while in the cool confining phase it is proportional to $\text{1}\text{R}$, independently of space dimensionality d. As d increases, the cool confining phase shrinks to zero and the system undergoes a first-order deconfining transition.