String breaking in SU(2) gauge theory with scalar matter fields

Details String breaking in SU(2) gauge theory with scalar matter fields String breaking in SU(2) gauge theory with scalar matter fields

1998-07-10

arxiv.org/abs/hep-lat/9807022v3

Phys.Lett. B440 (1998) 345-352

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, eqs.(7),(9) corrected, small changes in numerics, new figures

Scientific paper

10.1016/S0370-2693(98)01098-3

We investigate the static potential in the confinement phase of the SU(2) Higgs model on the lattice, where this model is expected to have properties similar to QCD. We observe that Wilson loops are inadequate to determine the potential at large distances, where the formation of two color-neutral mesons is expected. Introducing smeared fields and a suitable matrix correlation function, we are able to overcome this difficulty. We observe string breaking at a distance $r_b \approx 1.8 r_0$, where the length scale $r_0$ has a value $r_0 \approx 0.5 fm$ in QCD. The method presented here may lead the way towards a treatment of string breaking in QCD.

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