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

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

1995-02-06

arxiv.org/abs/hep-ph/9502234v1

Phys.Lett. B350 (1995) 234-237

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/0370-2693(95)00346-M

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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