Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions
Diakonov, Dmitri · Maul, Martin
Original · EN
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/g₃² and 1.7/LambdaₘS, 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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