Overlap of the Wilson loop with the broken-string state

Details Overlap of the Wilson loop with the broken-string state Overlap of the Wilson loop with the broken-string state

2004-11-02

arxiv.org/abs/hep-lat/0411004v1

Nucl.Phys. B714 (2005) 91-102

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 3 figures

Scientific paper

10.1016/j.nuclphysb.2005.02.023

Numerical experiments on most gauge theories coupled with matter failed to observe string-breaking effects while measuring Wilson loops only. We show that, under rather mild assumptions, the overlap of the Wilson loop operator with the broken-string state obeys a natural upper bound implying that the signal of string-breaking is in general too weak to be detected by the conventional updating algorithms. In order to reduce the variance of the Wilson loops in 3-D Z_2 gauge Higgs model we use a new algorithm based on the L\"uscher-Weisz method combined with a non-local cluster algorithm which allows to follow the decay of rectangular Wilson loops up to values of the order of 10^{-24}. In this way a sharp signal of string breaking is found.

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