Model of the N-Quark Potential in SU(N) Gauge Theory using Gauge-String Duality

TL;DR

This paper employs gauge-string duality to model the N-quark potential in SU(N) gauge theories, successfully matching lattice results and capturing the transition from the Δ-law to the Y-law at different distances.

Contribution

It introduces a gauge-string duality-based model for the N-quark potential that accurately reproduces lattice data and describes the potential's behavior across distance scales.

Findings

Model agrees with lattice simulations for SU(3)

Smooth transition between Δ-law and Y-law behaviors

Accurate description of N-quark potential across distances

Abstract

We use gauge-string duality to model the $N$-quark potential in pure Yang-Mills theories. For $SU(3)$, the result agrees remarkably well with lattice simulations. The model smoothly interpolates between almost the $\Delta$-law at small distances and the Y-law at large distances.