Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four
Dimensions
Dmitri Diakonov (Nordita & St. Petersburg, INP), Martin Maul (Lund U.)
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.