Spin-Dependent Potentials in SU (3) Lattice Gauge Theory

Abstract

The tensor, spin-spin, and spin-orbit terms in the heavy-quark potential have been calculated, via Monte Carlo methods, in SU (3) lattice gauge theory on a ${6}^{3}$ \ifmmode\times\else\texttimes\fi{} 12 lattice, at $\ensuremath{\beta}=6, 7, 8, 9, \mathrm{and} 10$. The signs and dependence on quark separation of all terms are generally consistent with one-gluon exchange. There is some evidence for nonperturbative behavior in the spin-orbit and spin-spin potentials at $\ensuremath{\beta}=6.0$.