Role of Non-quantized Fluxes in Coulombic and Casimir Scaling Regimes of the Thick Center Vortex Potentials

TL;DR

This paper investigates how non-quantized fluxes influence the Coulombic and Casimir scaling behaviors of thick center vortex potentials, revealing their role in reproducing key confinement features in quantum chromodynamics.

Contribution

It introduces a model with non-quantized Gaussian fluxes that, combined with quantized fluxes, accurately reproduces N-ality dependence and Casimir scaling in static color potentials.

Findings

Non-quantized fluxes reproduce Coulombic and intermediate confinement.

Combined fluxes yield correct N-ality dependence at large distances.

Results agree well with Casimir scaling at short and intermediate ranges.

Abstract

We discuss a non-quantized Gaussian flux limited to vary in a specific region of space which describes the Coulombic potential as well as confinement at intermediate distances for color potentials in various representations. Our calculations show if uncorrelated vortices are not quantized with center elements, the N-ality dependence of asymptotic string tensions is lost while the ratio of the Coulombic strengths and intermediate string tensions are in agreement with Casimir scaling. Using both uncorrelated quantized and non-quantized fluxes in the potential between static color sources results in the correct N-ality dependence at large distances and very good agreement with Casimir scaling at short and intermediate distances.