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

References in corpus (7)

• First study of the gluon-quark-antiquark static potential in SU(3) Lattice QCD
• Heavy quark free energies for three quark systems at finite temperature
• Semirelativistic potential model for three-gluon glueballs
• Lattice QCD study of the heavy-heavy-light quark potential
• Heavy-heavy-light quark potential in SU(3) lattice QCD
• Quark motional effects on the interquark potential in baryons
• Relativistic corrections for two- and three-body flux tube model

Cited by in corpus (2)

• The Physics of Glueballs
• Lattice QCD and Three-Body Exotic Systems in the static limit