Center Vortices, Area Law and the Catenary Solution

Abstract

We present meson-meson (Wilson loop) correlators in Z(2) center vortex models for the infrared sector of Yang-Mills theory, i.e., a hypercubic lattice model of random vortex surfaces and a continuous 2+1 dimensional model of random vortex lines. In particular we calculate quadratic and circular Wilson loop correlators in the two models respectively and observe that their expectation values follow the area law and show string breaking behavior. Further we calculate the catenary solution for the two cases and try to find indications for minimal surface behavior or string surface tension leading to string constriction.

13 pages, 7 figures. arXiv admin note: text overlap with arXiv:1508.07596; text overlap with arXiv:hep-lat/0406022, arXiv:0906.1294 by other authors

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Cited by in corpus (8)

• Chiral Symmetry Breaking on the Lattice
• A model of random center vortex lines in continuous 2+1-dimensional space-time
• Confining Bond Rearrangement in the Random Center Vortex Model
• Approaching $SU(2)$ gauge dynamics with smeared $Z(2)$ vortices
• Colorful plane vortices and Chiral Symmetry Breaking in $SU(2)$ Lattice Gauge Theory
• Comment on "Fractional topological charges and the lowest Dirac modes"
• A first analysis of the ensemble of local maxima of maximal center gauge
• Fractional topological charges and the lowest Dirac modes