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Casimir Scaling from Center Vortices: Towards an Understanding of the Adjoint String Tension
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We argue that the approximate ``Casimir scaling'' of the string tensions of higher-representation Wilson loops is an effect due to the finite thickness of center vortex configurations. It is shown, in the context of a simple model of the Z(2) vortex core, how vortex condensation in Yang-Mills theory can account for both Casimir scaling in intermediate size loops, and color-screening in larger loops. An implication of our model is that the deviations from exact Casimir scaling, which tend to grow with loop size, become much more pronounced as the dimensionality of the group representation increases.
Forward citations
Cited by 3 Pith papers
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First steps towards gauge-independent vortex identification through machine learning
A neural network trained on 2D SU(2) lattices with inserted thin Z2 vortices, after random gauge transformations, noise, and cooling, can locate center vortices at moderate visibility levels and scales via tiling.
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Center vortices in the novel phase of staggered fermions
Center vortices extracted from SU(3) lattice configurations capture the broken single-site shift symmetry of the staggered-fermion artifact phase, with only plaquettes spanning the broken dimension affected.
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Cartan Fluxes in $SU(3)$ Lattice Gauge Theory
A root-lattice based DeGrand-Toussaint algorithm detects SU(3) monopoles with a density about 15% lower than the standard U(1)^3 method and yields Weyl-symmetric charge counts.
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