High accuracy simulations of d=4 SU(3) qcd-string

Details High accuracy simulations of d=4 SU(3) qcd-string High accuracy simulations of d=4 SU(3) qcd-string

2005-11-24

arxiv.org/abs/hep-lat/0511055v1

PoS LAT2005 (2005) 312

Physics

High Energy Physics

High Energy Physics - Lattice

Published in the proceedings of XXIII International Symposium on Lattice Field Field Theory, July 2005, Dublin (PoS(LAT2005)31

Scientific paper

We present here the results of our high accuracy simulations of $q\bar q$ potential in $d=4$ SU(3) Yang-Mills theory. We measure this quantity by measuring the {\it Polyakov Loop Correlators} using the {\it exponential variance reduction technique(multilevel)} of Luscher and Weisz. We further use numerical integration of the one-link integrals of SU(3) theory by adopting techniques proposed by de Forcrand and Roiesnell achieving significant speed-up in the process. Measurements were done at $\beta = 5.7$ on $24^3x32$ as well as $32^4$ lattices for separations between the Polyakov loops in the range $r = 2-9$ in lattice units. We analyse the results in terms of the force between $q\bar q$ pair as well as in terms of a {\em scaled second derivative} of the potential. We show that the data is accurate enough to distinguish between different string models and that it seems to favour the expression for ground state energy of a Nambu-Goto string. We conclude by discussing future plans.

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