On Casimir scaling in QCD

TL;DR

This paper reviews the phenomenon of Casimir scaling in QCD, highlighting its significance for understanding the nonperturbative vacuum and proposing lattice tests to further investigate this property.

Contribution

It provides a comprehensive review of the current theoretical understanding of Casimir scaling in QCD and suggests new lattice tests to explore its underlying mechanisms.

Findings

Lattice calculations confirm Casimir scaling within a few percent accuracy.

Casimir scaling supports the Gaussian dominance hypothesis in QCD.

Proposed lattice tests aim to deepen understanding of nonperturbative QCD phenomena.

Abstract

Recent lattice calculations have confirmed that QCD static potential for sources in different representations of the gauge group is proportional to eigenvalue of the corresponding quadratic Casimir operator with an accuracy of a few percents. We review the present theoretical status of the "Casimir scaling" phenomenon and stress its importance for analysis of nonperturbative QCD vacuum models and other field theories. It is argued that Casimir scaling strongly advocates the property of Gaussian dominance and we propose different lattice tests to improve our understanding of these phenomena.