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We show how center vortices and Abelian monopoles both appear as local gaugeambiguities in the Laplacian Center gauge. Numerical results, for SU(2) andSU(3), support the view that the string tension obtained in thecenter-projected theory matches the full string tension when the continuumlimit is taken.Comment: 9 pages, 4 figures; talk presented at the International Workshop on  Non-Perturbative Methods and Lattice QCD, Guangzhou, May 200

A STUDY OF CENTER VORTICES IN SU(2) AND SU(3) GAUGE THEORIES