Breaking of the adjoint string in (2+1)-dimensions

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.

Note:

LaTeX2e, 20 pages, 15 figures with epsfig; uses amstex, amssymb, a4wide; minor change to presentation (notation for operators) only Report-no: IFUP-TH 5/99

11.15.Ha
12.38.Aw
12.38.Gc
SU(2)
Lattice
Confinement
Adjoint representation
Mixing
String breaking
lattice field theory: action

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