Systematics of flux tubes in the dual Ginzburg-Landau theory and Casimir scaling hypothesis: folklore and lattice facts

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dc.creatorKoma, Yoshiaki
dc.creatorKoma, Miho
dc.date2001-09-05
dc.date2002-09-16
dc.date.accessioned2026-07-07T12:26:17Z
dc.date.available2026-07-07T12:26:17Z
dc.descriptionThe ratios between string tensions $σ_D$ of color-electric flux tubes in higher and fundamental SU(3) representations, $d_{D} \equiv σ_{D}/σ_{\bf 3}$, are systematically studied in a Weyl symmetric formulation of the DGL theory. The ratio is found to depend on the Ginzburg-Landau (GL) parameter, $κ\equiv m_χ/m_{B}$, the mass ratio between monopoles ($m_χ$) and dual gauge bosons ($m_{B}$). While the ratios $d_{D}$ follow a simple flux counting rule in the Bogomol'nyi limit, $κ=1.0$, systematic deviations appear with increasing $κ$ due to interactions between fundamental flux inside a higher representation flux tube. We find that in a type-II dual superconducting vacuum near $κ= 3.0$ this leads to a consistent description of the ratios $d_{D}$ observed in lattice QCD simulations.
dc.description4 pages, 1 eps figure. Title and contents are modified. The version accepted for publication in Eur.Phys.J.C
dc.identifierhttps://arxiv.org/abs/hep-ph/0109033
dc.identifierhttp://arxiv.org/abs/hep-ph/0109033
dc.identifierEur.Phys.J.C26:457-460,2003
dc.identifierdoi:10.1140/epjc/s2002-01062-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214835
dc.subjectHigh Energy Physics - Phenomenology
dc.titleSystematics of flux tubes in the dual Ginzburg-Landau theory and Casimir scaling hypothesis: folklore and lattice facts
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