Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions
High Energy Physics - Lattice
2009-11-07 v2 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-lat/0204012,
title = {Center-Vortex Solutions of the Yang-Mills Effective Action in Three and Four Dimensions},
author = {Dmitri Diakonov and Martin Maul},
journal= {arXiv preprint arXiv:hep-lat/0204012},
year = {2009}
}
Comments
18 pages, 5 figures, RevTeX, some discussion added, minor stylistic changes, none of the results changed, version to appear in Phys Rev. D