Wilson loop distributions, higher representations and centre dominance in SU(2)
arXiv:hep-lat/9807019 · doi:10.1016/S0550-3213(98)00788-3
Abstract
To help understand the centre dominance picture of confinement, we look at Wilson loop distributions in pure SU(2) lattice gauge theory. A strong coupling approximation for the distribution is developed to use for comparisons. We perform a Fourier expansion of the distribution: centre dominance here corresponds to suppression of odd terms beyond the first. The Fourier terms correspond to SU(2) representations; hence Casimir scaling behaviour leads to centre dominance. We examine the positive plaquette model, where only thick vortices are present. We show that a simple picture of random, non-interacting centre vortices gives a string tension about 3/4 of the measured value. Finally, we attempt to limit confusion about the adjoint representation.
18 pages, 8 figures, LaTeX 2e with epsfig and amstex; discussion following eq. 24 modified; figure 8 replotted; various references added; substance unchanged