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

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arxiv hep-lat/0204012 v2 pith:4YMVGG63 submitted 2002-04-10 hep-lat hep-ph

Dmitri Diakonov (Nordita & St. Petersburg , INP) , Martin Maul (Lund U.) This is my paper · ORCID
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keywords effectiveactioncenter-vortexminimavorticesyang-millsactionsapproximately
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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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