%0 Journal Article
%T Perturbative Static Four-Quark Potentials
%A J. T. A. Lang
%A J. E. Paton
%A A. M. Green
%J Physics
%D 1995
%I arXiv
%R 10.1016/0370-2693(95)01324-5
%X A first attempt to understand hadron dynamics at low energies in terms of the fundamental quark and gluon degrees of freedom incorporates the effects of the gluonic field into a potential depending only on the spatial positions of the quarks, which are considered in the infinite mass limit. A suitable framework for calculating such potentials between static quarks, i.e.\ a generalization of the Wilson loop will be discussed. Making a connection with recent Monte Carlo lattice simulations for the lowest two energies of a system of two quarks and two antiquarks, the static $qq\bar{q}\bar{q}$-potential will be calculated in perturbation theory to fourth order. The result will be shown to be exactly equal to the prediction of a straightforward two-body approach, which in Monte Carlo lattice simulations has been found to be a reasonable approximation for very small interquark distances.
%U http://arxiv.org/abs/hep-ph/9508315v1