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Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions

Dmitri Diakonov·Martin Maul
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Abstract

We calculate the one-loop effective action of the SU(2) Yang-Mills theory for center-vortex configurations, both in 3d and 4d. We find that in both cases there are minima of the effective action, corresponding to vortices of the transverse size approximately 4/g_3^2 and 1.7/Lambda_MS, respectively. The values of the effective actions at the minima are negative, suggesting that the Euclidian vacuum may be unstable with respect to creation of vortices.

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Dmitri Diakonov, Martin Maul. 2003-01-04. Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions. https://doi.org/10.1103/physrevd.66.096004

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