Effective potential between two gluons from the scalar glueball

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dc.creatorBuisseret, F.
dc.creatorSemay, C.
dc.date2006-11-16
dc.date2007-07-16
dc.date.accessioned2026-07-07T11:02:13Z
dc.date.available2026-07-07T11:02:13Z
dc.descriptionStarting from the $0^{++}$ glueball mass and wave function computed from lattice QCD, we compute the local potential between two constituent gluons. Since the properties of constituent gluons are still a matter of research, we allow for them to be either massless, or massive with a mass around 0.7 GeV. Both pictures are actually used in the literature. When the gluons are massless, the corresponding local potential is shown to be compatible with a Cornell form, that is a linear confinement plus a short-range Coulomb part, with standard values for the flux tube energy density and for the strong coupling constant. When the gluons are massive, the confining potential is a saturating one, commonly used to simulate string-breaking effects. These results fill a gap between lattice QCD and phenomenological models: The picture of the scalar glueball as a bound state of two constituent gluons interacting via a phenomenological potential is shown to emerge from pure gauge lattice QCD computations. Moreover, we show that the allowed potential shape is constrained by the mass of the constituent gluons.
dc.description4 figures; Comments added, one typo corrected in v2. V3 accepted for publication in EPJA : major changes, content enlarged, inclusion of massive gluons
dc.identifierhttps://arxiv.org/abs/hep-ph/0611216
dc.identifierhttp://arxiv.org/abs/hep-ph/0611216
dc.identifierEur.Phys.J.A33:87-93,2007
dc.identifierdoi:10.1140/epja/i2007-10441-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188185
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.titleEffective potential between two gluons from the scalar glueball
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