Determination of the Static Potential with Dynamical Fermions

Details Determination of the Static Potential with Dynamical Fermions Determination of the Static Potential with Dynamical Fermions

2010-12-14

arxiv.org/abs/1012.3037v3

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, 8 figures, 2 tables; new figure 2, update of figure 7, published version

Scientific paper

We present in detail a technique to extract the potential between a static quark and anti-quark pair from Wilson loops measured on dynamical configurations. This technique is based on HYP smearing and leads to an exponential improvement of the noise-to-signal ratio of Wilson loops. We explain why the correct continuum potential is obtained and show numerical evidence that the cut-off effects are small. We present precise results for the non-perturbative potential. As applications, we determine the scale r_0/a and study the shape of the static potential in the range of distances around r_0, where it can be compared with phenomenological potential models.

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