First study of the three-gluon static potential in Lattice QCD

Abstract

We estimate the potential energy for a system of three static gluons in Lattice QCD. This is relevant for the different models of three-body glueballs have been proposed in the literature, either for gluons with a constituent mass, or for massless ones. A Wilson loop adequate to the static hybrid three-body system is developed. We study different spacial geometries, to compare the starfish model with the triangle model, for the three-gluon potential. We also study two different colour structures, symmetric and antisymmetric, and compare the respective static potentials. A first simulation is performed in a $24^3\times 48$ periodic Lattice, with $\beta =6.2$ and $a\sim 0.072$ fm.

8 pages, 10 figures

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• Glueball phenomenology and the relativistic flux tube model
• Colour Fields of the Static Pentaquark System Computed in SU(3) Lattice QCD
• Lattice QCD static potentials of the meson-meson and tetraquark systems computed with both quenched and full QCD
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• The structure of the Yang-Mills spectrum for arbitrary simple gauge algebras
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