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We study the role of large clusters of center vortices in producingconfinement in 3D Z(2) gauge theory. First, we modify each configuration of aMonte Carlo-generated ensemble in the confined phase by removing the largestcluster of center vortices, and show that the ensemble thus obtained does notconfine. Conversely, we show that removing all of the small clusters of centervortices and leaving the largest one only, confinement is preserved, albeitwith a string tension significantly smaller than the original one. Remarkably,also the string corrections due to the quantum fluctuations of the confiningflux tube are preserved by this transformation.Comment: 8 pages,5 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Large center vortices and confinement in 3D<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>gauge theory

Large center vortices and confinement in 3DZ2gauge theory