Short distance potential and the thick center vortex model

Abstract

The short distance potentials between heavy SU(3) and SU(4) sources are calculated by increasing the role of vortex fluxes piercing Wilson loops with contributions close to the trivial center element and by fluctuating the vortex core size in the model of thick center vortices. By this method, a Coulombic potential consistent with Casimir scaling is obtained. In addition, all other features of the potential including a linear intermediate potential in agreement with Casimir scaling and a large distance potential proportional to the $N$-ality of the representation are restored. Therefore, the model of thick center vortices may be used as a phenomenological model, which is able to describe the potential for all regimes.

9 pages and 6 figures

References in corpus (3)

• Potentials between static SU(3) sources in the fat-center-vortices model
• Confinement and the second vortex of the SU(4) gauge group
• SU(4) string tensions from the fat-center-vortices model

Cited by in corpus (7)

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• The effect of $SU(4)$ group factor in the thick center vortex potentials
• Quantum delocalization of strings with boundary action in Yang-Mills theory
• Domain structures and quark potentials in SU($3$) gauge theory
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model