Overlap of the Wilson loop with the broken-string state

Abstract

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 Lüscher-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.

12 pages, 3 figures

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• Determination of the Static Potential with Dynamical Fermions
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• Unquenching the Quark Model and Screened Potentials
• The decay of unstable k-strings in SU(N) gauge theories at zero and finite temperature
• String breaking
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• Static potential and local color fields in unquenched lattice QCD${}_3$
• The functional form of open Wilson lines in gauge theories coupled to matter
• Screening of sources in higher representations of SU(N) gauge theories at zero and finite temperature