Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-08-17
Phys.Lett. B366 (1996) 18-25
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 7 figures, uses macro FEYNMAN.TEX (available in macro archive)
Scientific paper
10.1016/0370-2693(95)01324-5
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.
Green Mark A.
Lang J. T. A.
Paton J. E.
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