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We present results of the static three-quark potential and the force in SU(3) lattice gauge theory at zero temperature extracted from the Polyakov loop correlation function (PLCF) by employing the multilevel algorithm. We investigate various cases that the three quarks are placed at the vertices of the equilateral, the isosceles, and the right triangles. We find that all the potential data, except for the cases such that the two of three quarks are very close to each other, can be explained by one curve as a function of the Y -distance defined by the minimum extent of lines connecting all three quarks via the Fermat point of the triangle. We also find that the three-quark force at long Y -distances is quantitatively the same as that of the quark-antiquark force.

The static three-quark potential from the Polyakov loop correlation function