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Effect of the Haar measure on the finite temperature effective potential of SU(2) Yang-Mills theory
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Effect of the Haar measure on the finite temperature effective potential of $SU(2)$ Yang-Mills theory
classification
hep-ph
keywords
haarmeasurecouplingeffectivepotentialtheoryyang-millscharacter
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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