Chiral Loops and Ghost States in the Quenched Scalar Propagator

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dc.creatorBardeen, W.
dc.creatorDuncan, A.
dc.creatorEichten, E.
dc.creatorIsgur, N.
dc.creatorThacker, H.
dc.date2001-06-13
dc.date.accessioned2026-07-07T11:08:52Z
dc.date.available2026-07-07T11:08:52Z
dc.descriptionThe scalar, isovector meson propagator is analyzed in quenched QCD, using the MQA pole-shifting ansatz to study the chiral limit. In addition to the expected short-range exponential falloff characteristic of a heavy scalar meson, the propagator also exhibits a longer-range, negative metric contribution which becomes pronounced for smaller quark masses. We show that this is a quenched chiral loop effect associated with the anomalous structure of the $η'$ propagator in quenched QCD. Both the time dependence and the quark mass dependence of this effect are well-described by a chiral loop diagram corresponding to an $η'- π$ intermediate state, which is light and effectively of negative norm in the quenched approximation. The relevant parameters of the effective Lagrangian describing the scalar sector of the quenched theory are determined.
dc.description29 pages, 10 figures, Latex
dc.identifierhttps://arxiv.org/abs/hep-lat/0106008
dc.identifierhttp://arxiv.org/abs/hep-lat/0106008
dc.identifierPhys.Rev.D65:014509,2001
dc.identifierdoi:10.1103/PhysRevD.65.014509
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190282
dc.subjectHigh Energy Physics - Lattice
dc.titleChiral Loops and Ghost States in the Quenched Scalar Propagator
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