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

2019/07/10 by Lasse Mueller, Lasse Müller, Owe Philipsen +2 · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Gauge theory #Lambda #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Mathematical physics #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Sigma #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.100.054503

published as Phys. Rev. D 100, 054503 (2019) · 38 pages, 14 figures, 3 tables, corrected figure 2

arxiv created 2019/07/10 · openalex created_date 2019/07/12 · openalex publication_date 2019/09/16 · arxiv updated 2019/09/25 · openalex updated_date 2026/08/05

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 \mathrm\ensuremathΛ_\ensuremathη^\ensuremathε=\mathrm\ensuremathΣg+, we present numerical results for seven hybrid static potentials corresponding to \mathrm\ensuremathΛ_\ensuremathη^(\ensuremathε)=\mathrm\ensuremathΣu+,\mathrm\ensuremathΣg^\ensuremath-,\phantom\rule0ex0ex\mathrm\ensuremathΣu^\ensuremath-,\mathrm\ensuremathΠg,\mathrm\ensuremathΠu,\mathrm\ensuremathΔg,\mathrm\ensuremathΔu, 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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