Continuum extrapolation of energies of a four-quark system in lattice gauge theory

Details Continuum extrapolation of energies of a four-quark system in lattice gauge theory Continuum extrapolation of energies of a four-quark system in lattice gauge theory

1996-08-28

arxiv.org/abs/hep-lat/9608147v2

Phys.Rev.D55:3958-3965,1997

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 5 ps figures. Version to be published in Phys. Rev. D: Discussion of the beta function expanded and updated to three

Scientific paper

10.1103/PhysRevD.55.3958

A continuum extrapolation of static two- and four-quark energies calculated in quenched SU(2) lattice Monte Carlo is carried out based on Sommer's method of setting the scale. The beta-function is obtained as a side product of the extrapolations. Four-quark binding energies are found to be essentially constant at beta >= 2.35 unlike the two-body potentials. A model for four-quark energies, with explicit gluonic degrees of freedom removed, is fitted to these energies and the behaviour of the parameters of the model is investigated. An extension of the model using the first excited states of the two-body gluon field as additional basis states is found to be necessary for quarks at the corners of regular tetrahedra.

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