A new lattice measurement for potentials between static SU(3) sources

TL;DR

This paper presents a new lattice calculation of static potentials between sources in different representations of SU(3), confirming Casimir scaling and flux tube counting while addressing previous finite volume effects.

Contribution

The study introduces a refined lattice measurement of SU(3) static potentials that corrects earlier finite volume effects and supports flux tube counting and Casimir scaling.

Findings

Results agree with Casimir scaling

Results support flux tube counting

Finite volume effects were significant in previous studies

Abstract

In this article, a new calculation of static potentials between sources of different representations in SU(3) gauge group is presented. The results of author's previous study \cite{Deld00} at the smallest lattice spacing $a_{s}\simeq0.11$~ fm are shown to have been affected by finite volume effects. Within statistical errors, the new results obtained here are still in agreement with both, Casimir scaling and flux tube counting. There is also no contradiction to the results obtained in Ref.~ \cite{Bali00} which however exclude flux counting.