Chiral Loops and Ghost States in the Quenched Scalar Propagator

A. Duncan; E. Eichten; H. Thacker; N. Isgur; W. Bardeen

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Chiral Loops and Ghost States in the Quenched Scalar Propagator

W. Bardeen, A. Duncan, E. Eichten, N. Isgur, H. Thacker

High Energy Physics - Lattice · Submitted 13 Jun 2001

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that this is a quenched chiral loop effect associated with the anomalous structure of the $\eta '$ propagator in quenched QCD.

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arXiv IDhep-lat/0106008 (version 1)

Pith ID5YG347OF, Pith's permanent record of this paper and its review

CitationA. Duncan, E. Eichten, H. Thacker, N. Isgur, W. Bardeen. "Chiral Loops and Ghost States in the Quenched Scalar Propagator." arXiv:hep-lat/0106008 (2001). https://pith.science/paper/5YG347OF

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The compiled record

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,342 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.11 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The scalar, isovector meson propagator is analyzed in quenched QCD, using the MQA pole-shifting ansatz to study the chiral limit.	contribution 0.74	0.85	0.05	asserted 0.95
s1	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.	result 1.00	0.81	0.31	asserted 1.00
s2	We show that this is a quenched chiral loop effect associated with the anomalous structure of the $\eta '$ propagator in quenched QCD.	interpretation 0.97	0.84	0.62	asserted 1.00
s3	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.	result 0.60	0.84	0.39	asserted 0.99
s4	The relevant parameters of the effective Lagrangian describing the scalar sector of the quenched theory are determined.	contribution 0.51	0.88	0.05	asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 0.77.

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arXiv listing abstract v1

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full text
figures and tables
references and citing sentences
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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

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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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Properties of light scalar mesons from lattice QCD
hep-lat 2006-04 conditional novelty 6.0 of 10

Nf=2 lattice QCD places the lightest non-singlet scalar meson at 1.01(4) GeV and finds normal quark-antiquark-like couplings, favouring a conventional a0(980).
Mesons in large-N QCD
hep-lat 2013-04 accept novelty 5.0 of 10

Quenched lattice simulations for N = 2 to 17 show the meson spectrum depends only mildly on the number of colors, following 1/N^2 scaling, and that the rho mass at N = 17 agrees with low-N extrapolations rather than t...
The Physics of Glueballs
hep-ph 2008-10 accept novelty 1.0 of 10

Glueballs remain theoretically well-motivated but experimentally unidentified; this review maps the lattice, model, sum-rule, and collider evidence without adding a new result.

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6 arXiv papers cite this in 9 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

For the lightest quark masses used, this propagator is dominated by a quenched chiral loop effect associated with the $\eta'$-$\pi$ two-meson intermediate state.

Chiral Loop Effects in the Quenched Scalar Isovector Propagator · 0.90

Papers citing it · 8 sentences without a confident label

Cites it as background 1 paper

This is best known in the situation of scalar mesons, where there is a long history of observations going back to the quenched studies of Ref. [ref] .

Diquark effects in light baryon correlators from lattice QCD · Lattice action and simulation details · 0.89

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