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

K. Sailer·A. Schäfer·W. Greiner
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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.

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K. Sailer, A. Schäfer, W. Greiner. 1995-02-06. Effect of the Haar measure on the finite temperature effective potential of $SU(2)$ Yang-Mills theory. https://doi.org/10.1016/0370-2693(95)00346-m

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