Breaking of the adjoint string in 2+1 dimensions
High Energy Physics - Lattice
2009-10-31 v3
Abstract
The roughly linear rise of the potential found between adjoint sources in SU(N) in lattice simulations is expected to saturate into a state of two `gluelumps' due to gluonic screening. We examine this in SU(2) in 2+1 dimensions. Crossover between string-like and broken states is clearly seen by the mixing-matrix technique, using different operators to probe the two states; the breaking behaviour is rather abrupt. Furthermore, we are able to show that both types of operator have a finite overlap with both states; in the case of the Wilson loops the overlap with the broken string is, as predicted, very small.
Cite
@article{arxiv.hep-lat/9902002,
title = {Breaking of the adjoint string in 2+1 dimensions},
author = {P. W. Stephenson},
journal= {arXiv preprint arXiv:hep-lat/9902002},
year = {2009}
}
Comments
LaTeX2e, 20 pages, 15 figures with epsfig; uses amstex, amssymb, a4wide; minor change to presentation (notation for operators) only