Chiral Loops and Ghost States in the Quenched Scalar Propagator

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The 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 eta' 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 eta'-pi intermediate state, which is light ... continued below

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page(s) 173 KILOBYTES

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Bardeen, W.; Duncan, A.; Eichten, E.; Isgur, N. & Thacker, H. June 1, 2001.

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The 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 eta' 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 eta'-pi 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.

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page(s) 173 KILOBYTES

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  • Journal Name: Phys. Rev. D 65, 014509 (2002); Other Information: No journal information given for this preprint; PBD: 1 Jun 2001

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  • Report No.: JLAB-THY-01-30
  • Report No.: DOE/ER/40150-1918
  • Report No.: hep-lat/0106008
  • Report No.: FERMILAB-Pub-01/129-T
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 787760
  • Archival Resource Key: ark:/67531/metadc716804

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  • June 1, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • Feb. 5, 2016, 8:42 p.m.

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Bardeen, W.; Duncan, A.; Eichten, E.; Isgur, N. & Thacker, H. Chiral Loops and Ghost States in the Quenched Scalar Propagator, article, June 1, 2001; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc716804/: accessed September 20, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.