Abstract
In this paper we provide an exact formula for the area law of the 't Hooft loop for any SU ( N ) gauge group to cubic order in hot gauge theory. The correction is very small for all temperatures above T c , in stark contrast to the cubic correction to the pressure. The gradient approximation in a previous paper, only valid for large N, is in excellent agreement with the present, exact evaluation. Comparison to lattice data is good. Casimir scaling is violated by a small amount not yet resolved by the precision of lattice data.
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