A High Precision Study of the QQ(bar) Potential from Wilson Loops in the Regime of String Breaking

TL;DR

This study precisely measures the static quark-antiquark potential in lattice QCD with two sea quark flavors, focusing on the string breaking regime, using advanced algorithms to enhance data accuracy.

Contribution

It introduces a novel method for including all lattice vectors in potential calculations and demonstrates error reduction techniques for transition matrix elements.

Findings

Achieved high-precision potential measurements from 0.8 to 1.5 fm.

Demonstrated effective error reduction methods.

Provided new insights into string breaking in lattice QCD.

Abstract

For lattice QCD with two sea quark flavours we compute the static quark antiquark potential V(R) in the regime where string breaking is expected. In order to increase statistics, we make full use of the lattice information by including all lattice vectors R to any possible lattice separation in the infrared regime. The corresponding paths between the lattice points are constructed by means of a generalized Bresenham algorithm as known from computer graphics. As a results we achieve a determination of the unquenched potential in the range .8 to 1.5 fm with hitherto unknown precision. Furthermore, we demonstrate some error reducing methods for the evaluation of the transition matrix element between two- and four-quark states.