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

Abstract

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 $W=\pm 1$ for weak coupling. This suggests that the non-abelian character of $SU(2)$ as contained in the Haar measure might be responsible for confinement.

Comments: 3 pages, LATEX, 1 figure, figure available upon request