The Three-Quark Potential from the Polyakov Loop Correlation Function in Lattice QCD

Abstract

We present results of the static three-quark potential obtained by using lattice QCD Monte-Carlo simulations with the Polyakov loop correlation function. We investigate the potential of O(200) sets of the three-quark geometries including not only the cases that three quarks are put at the vertices of acute, right, and obtuse triangles, but also the extreme cases such that three quarks are put in line. We find several new interesting features of the three-quark potential, and discuss its possible functional form.