Abstract
We use gauge-string duality to model the $N$-quark potential in pure Yang-Mills theories. For $SU(3)$, the result agrees remarkably well with lattice simulations. The model smoothly interpolates between almost the $\Delta$-law at small distances and the Y-law at large distances.
Highlights
(2) Because the results provided by this model are consistent with the lattice calculations and Quantum Chromodynamics (QCD) phenomenology [13,14,15]
Numerical Results and Phenomenological Prospects.— It is of great interest to compare our model of the N quark potential with the results of numerical simulations
In lattice gauge theory very little is known about the N -quark potential if N > 3
Summary
We use gauge-string duality to model the N -quark potential in pure Yang-Mills theories. The best known phenomenological models of the N quark potential are those of N = 3, the so called ∆ and Y-laws [3]. For the three-quark potential the accuracy of numerical simulations has been improved during the past decade [6,7,8,9] that provided evidence for the Y-law at long distances. It is expected that at short distances the ∆-law is a good approximation to the potential [3, 6].
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