Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory
Abstract
For the first time, we determine the complete spin- and momentum-dependent order v^2 corrections to the static interquark potential from simulations of QCD in the valence quark approximation at inverse lattice spacings of 2-3 GeV. A new flavor dependent correction to the central potential is found. We report a 1/r^2 contribution to the long range spin-orbit potential V_1'. The other spin-dependent potentials turn out to be short ranged and can be well understood by means of perturbation theory. The momentum-dependent potentials qualitatively agree with minimal area law expectations. In view of spectrum calculations, we discuss the matching of the effective nonrelativistic theory to QCD as well as renormalization of lattice results. In a first survey of the resulting bottomonia and charmonia spectra we reproduce the experimental levels within average errors of 12.5 MeV and 22 MeV, respectively.
Keywords
Cite
@article{arxiv.hep-lat/9703019,
title = {Complete O(v^2) corrections to the static interquark potential from SU(3) gauge theory},
author = {Gunnar S. Bali and Klaus Schilling and Armin Wachter},
journal= {arXiv preprint arXiv:hep-lat/9703019},
year = {2014}
}
Comments
54 pages REVTeX with 24 encapsuled ps figures