Flux tube counting or Casimir scaling

TL;DR

This paper explores how the potential between quarks in QCD scales with different representations, suggesting a proportionality to Casimir factors and the number of fundamental flux tubes based on lattice and vortex models.

Contribution

It proposes a connection between Casimir scaling and the number of fundamental strings in the flux tube model for quark confinement.

Findings

Potential coefficient scales with Casimir factors.

Linear potential proportional to number of fundamental strings.

Supports flux tube and vortex model predictions.

Abstract

QCD confines quarks in all representations. From lattice calculations and fat center vortices model, we discuss that the coefficient of the linear term in the potential is proportional to both casimir scaling and the number of fundamental strings.