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arXiv · 1907.01482

Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory

Lasse Mueller·Owe Philipsen·Christian Reisinger·Marc Wagner
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Abstract

We compute chromoelectric and chromomagnetic flux densities for hybrid static potentials in SU(2) and SU(3) lattice gauge theory. In addition to the ordinary static potential with quantum numbers $Λ_η^ε= Σ_g^+$, we present numerical results for seven hybrid static potentials corresponding to $Λ_η^{(ε)} = Σ_u^+, Σ_g^-, Σ_u^-, Π_g, Π_u, Δ_g, Δ_u$, where the flux densities of five of them are studied for the first time in this work. We observe hybrid static potential flux tubes, which are significantly different from that of the ordinary static potential. They are reminiscent of vibrating strings, with localized peaks in the flux densities that can be interpreted as valence gluons.

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Lasse Mueller, Owe Philipsen, Christian Reisinger, Marc Wagner. 2019-07-10. Hybrid static potential flux tubes from SU(2) and SU(3) lattice gauge theory. https://doi.org/10.1103/physrevd.100.054503

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