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.
Cite
@article{arxiv.1509.00145,
title = {Center Vortices, Area Law and the Catenary Solution},
author = {Roman Höllwieser and Derar Altarawneh},
journal= {arXiv preprint arXiv:1509.00145},
year = {2016}
}
Comments
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