Exotic static 3-body potentials

TL;DR

This paper investigates the static three-body potentials in SU(3) lattice QCD, exploring the interactions and potential forms for systems involving quarks, antiquarks, and gluons at various angles, including three-gluon systems.

Contribution

It introduces a detailed analysis of exotic three-body potentials using generalized Wilson Loops, including new insights into multi-gluon interactions and string repulsion effects.

Findings

Calculated static potentials for various quark-gluon angles

Identified conditions for two-body interaction existence

Explored repulsive interactions between strings and three-gluon systems

Abstract

We study exotic static 3-body potentials, utilizing generalized Wilson Loops in SU(3) lattice QCD. For the quark-antiquark-gluon techniques we address the angles of 0, 45, 60, 90, 120, 135 and 180 degrees, between the quark-gluon and the antiquark-gluon segments. We calculate the form of the static potential and discuss whether, or not, two-body interactions exist between the three different bodies, and study the existence of repulsion between the strings. We also perform a first study of the interactions in the system of three gluon.