High Energy Physics - Lattice · arXiv:hep-lat/0411028 v1 · submitted 20 Nov 2004
Lattice Computations of the Pion Form Factor
The paper says
“We discuss the techniques used to compute the pion form factor and present results computed with domain wall valence fermions on MILC asqtad lattices, as well as with Wilson fermions on quenched lattices.”
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The paper
Abstract
We report on a program to compute the electromagnetic form factors of mesons. We discuss the techniques used to compute the pion form factor and present results computed with domain wall valence fermions on MILC asqtad lattices, as well as with Wilson fermions on quenched lattices. The methods can easily be extended to rho-to-gamma-pi transition form factors.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.99
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.48 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We report on a program to compute the electromagnetic form factors of mesons. | contribution 0.99 | 0.82 | 0.08 | asserted 0.94 |
| We discuss the techniques used to compute the pion form factor and present results computed with domain wall valence fermions on MILC asqtad lattices, as well as with Wilson fermions on quenched lattices. | method 0.64 | 0.93 | 0.15 | asserted 0.99 |
| The methods can easily be extended to rho-to-gamma-pi transition form factors. | future work 0.98 | 0.20 | 0.06 | hedged possibility 0.67 |
What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00
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How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,883 input tokens, $0.0001 reported.
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Cited by 9 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Radiative Transitions in Charmonium from Lattice QCD hep-ph · Jan 2006
- Composite Goldstone Dark Matter: Experimental Predictions from the Lattice hep-ph · Aug 2013
- I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD hep-lat · Jun 2005
- Lattice Calculation of Pion Form Factor with Overlap Fermions hep-ph · Jun 2020
- Pion form factors from two-flavor lattice QCD with exact chiral symmetry hep-lat · May 2009
- Electromagnetic form factor of the pion from twisted-mass lattice QCD at Nf=2 hep-lat · Dec 2008
- Universality of Mixed Action Extrapolation Formulae hep-lat · May 2007
- Review of lattice results concerning low energy particle physics hep-lat · Nov 2010
- Review of lattice results concerning low energy particle physics hep-lat · Oct 2013
How the literature uses it
13 arXiv papers cite this in 24 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We discuss the techniques used to compute the pion form factor and present preliminary results computed with domain wall valence fermions on MILC asqtad lattices, as well as Wilson fermions on quenched lattices.
Mesonic Form Factors · 0.91
Papers citing it · 10 sentences without a confident label
Uses its method or tool 1 paper
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Direct computation of the propagator $G(x|y)$ is unnecessarily expensive as we can use the sequential source technique (SST) [ref] to yield the desired propagator, which only requires one further evolution.
Hindered M1 Radiative Decay of $\Upsilon(2S)$ from Lattice NRQCD · Matrix Elements from Lattice QCD · 1.00
Compares with it 2 papers
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Figure [ref] demonstrates that our result is consistent with the lattice QCD result reported in Ref. [ref] , although discrepancies with experimental data have been reported in earlier works within holographic QCD [ref] .
The electromagnetic form factors in the $N_{f}=4$ holographic QCD · Form factor · 0.96
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Our preliminary result for $$ is significantly smaller than experiment as in most of previous studies [ref] shown in Fig. [ref].
Pion form factor from all-to-all propagators of overlap quarks · Conclusions · 0.99
Cites it as background 8 papers
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Despite the existing plethora of literature on the predictions on electromagnetic meson form factors based on various approaches (see e.g., Refs. [ref] for the pion and Refs. [ref] for kaon form factors, to give a highly incomplete list of references), till date there is considerable amount of debate as to their exact behavior in the phenomenological low and moderate energies between $Q^2≈4$-$50$ GeV$^2$.
Electromagnetic pion and kaon form factors in light-cone resummed perturbative QCD · Introduction · 0.98
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Lattice measurements of $f_ππ(Q^2)$ have been started in the late 80's [ref] and initially been done neglecting the effect of virtual quark loops [ref] .
The electromagnetic form factor of the pion: Results from the lattice · Introduction · 0.97
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Its dependence on the momentum transfer $t$ and mass of degenerate up and down quarks $m_l$ has been studied in unquenched lattice QCD [ref] .
Light meson electromagnetic form factors from three-flavor lattice QCD with exact chiral symmetry · Introduction · 0.94
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