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

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

2002-04-10

arxiv.org/abs/hep-lat/0204012v2

Phys.Rev. D66 (2002) 096004

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 5 figures, RevTeX, some discussion added, minor stylistic changes, none of the results changed, version to appear in

Scientific paper

10.1103/PhysRevD.66.096004

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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