``GLUELUMP'' SPECTRUM AND ADJOINT SOURCE POTENTIAL IN LATTICE QCD$_3$

TL;DR

This study computes the adjoint quark potential and gluelump spectrum in 3D lattice QCD, revealing good scaling behavior and insights into screening effects at large distances.

Contribution

It provides the first detailed lattice calculation of the adjoint potential and gluelump masses in three-dimensional QCD, including estimates of the screening distance.

Findings

Magnetic gluelump is the lowest-lying state.

Potential shows little saturation up to twice the estimated screening distance.

Good scaling behavior observed for gluelump masses.

Abstract

We calculate the potential between ``quarks'' which are in the adjoint representation of SU(2) color in the three-dimensional lattice theory. We work in the scaling region of the theory and at large quark separations $R$. We also calculate the masses $M_{Qg}$ of color-singlet bound states formed by coupling an adjoint quark to adjoint glue (``gluelumps''). Good scaling behavior is found for the masses of both magnetic (angular momentum $J=0$) and electric ($J=1$) gluelumps, and the magnetic gluelump is found to be the lowest-lying state. It is naively expected that the potential for adjoint quarks should saturate above a separation $R_{\rm scr}$ where it becomes energetically favorable to produce a pair of gluelumps. We obtain a good estimate of the naive screening distance $R_{\rm scr}$. However we find little evidence of saturation in the potential out to separations $R$ of about twice $R_{\rm scr}$.