High precision study of the Q(Q)over-bar potential from Wilson loops at large distances - art. no. 074504

For lattice QCD with two sea quark flavors we study the static quark-antiqu ark potential V(R) in the regime where string breaking is expected. In orde r to increase the statistics, we make full use of the lattice information b y including all lattice vectors R to any given separation R = \R\ in the in frared regime. The corresponding paths between the lattice points are const ructed by means of a generalized Breseuham algorithm as known from computer graphics. As a result, we achieve a determination of the Wilson loops in t he range 0.8-1.5 fm with hitherto unknown precision. Finally, we discuss th e impact of this approach on the signal of the transition matrix element be tween two- and four-quark states.