Abstract
We analyze the static potentials for various representations in SU($3$) Yang-Mills theory within the framework of the domain model of center vortices. The influence of vortex interactions is investigated on the static potentials. We show that, by ad-hoc choosing the probability weights of the different vortex configurations contributing to the static potential, a phenomenologically satisfactory result for the different representations can be achieved. In particular including vacuum domains, a way to effectively parametrize vortex interactions, is crucial in obtaining an (almost) everywhere convex potential when interpolating between the short distances and the asymptotic regimes.
Highlights
Understanding quark confinement and the dynamical mechanism behind it is a big challenge in QCD
Numerical simulations [6,7,8,9,10,11] and infrared models [12,13,14,15,16,17,18,19] have indicated that center vortices [20,21,22,23,24,25] which are quantized magnetic flux tubes could account for the quark confinement via the area law of the Wilson loop
We study the behavior of these center vortices on static potentials in this analytical model
Summary
Understanding quark confinement and the dynamical mechanism behind it is a big challenge in QCD. Two types of vortices may be regarded as the same type of vortex but with magnetic flux pointing in opposite directions Without this constraint, we study the behavior of these center vortices on static potentials in this analytical model. In the framework of the domain model of center vortices, we analyze the domain structures with a fixed vortex profile for removing concavity and improving Casimir scaling especially for higher representations of the SU(3) gauge group. If the center vortex is all contained within the Wilson loop exp1⁄2iα⃗ nCH⃗ 1⁄4 ðznÞkrI where kr is the N-ality of representation r Using this constraint, the maximum value of the angle αnmax could be calculated.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
