Effect of the Haar measure on the finite temperature effective potential of SU(2) Yang-Mills theory

Including the Haar measure we show that the effective potential of the regularized SU(2) Yang-Mills theory has a minimum at vanishing Wilson-line W = 0 for strong coupling, whereas it develops two degenerate minima close to W = ±1 for weak coupling. This suggests that the non-abelian character of SU(2) as contained in the Haar measure might be responsible for confinement.