High Energy Physics - Lattice · arXiv:1011.6309 v1 · submitted 29 Nov 2010
Hadron electric polarizability – finite volume corrections
The paper says
“We find that for pion masses lower than 400 MeV the polarizability remains negative even on larger lattices.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We use the background field method to extract the polarizability for the neutral "pion". In our previous study we found that the polarizability for this system is negative which is believed to be a finite volume artifact. To address this issue, we carry out simulations for different lattice sizes and we also look at the influence of the boundary conditions on these results. We find that for pion masses lower than 400 MeV the polarizability remains negative even on larger lattices. An infinite volume extrapolation is attempted, but the results are not conclusive due mainly to a lack of an analytical form for the finite volume corrections for this system.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.97 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.02 · states quantitative result 0.72 · compares with prior results 0.89 · 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 use the background field method to extract the polarizability for the neutral "pion". | method 0.93 | 0.94 | 0.03 | asserted 1.00 |
| In our previous study we found that the polarizability for this system is negative which is believed to be a finite volume artifact. | background 0.86 | 0.63 | 0.07 | asserted 0.71 |
| To address this issue, we carry out simulations for different lattice sizes and we also look at the influence of the boundary conditions on these results. | method 0.86 | 0.92 | 0.03 | asserted 0.87 |
| We find that for pion masses lower than 400 MeV the polarizability remains negative even on larger lattices. | result 1.00 | 0.96 | 0.45 | asserted 1.00 |
| An infinite volume extrapolation is attempted, but the results are not conclusive due mainly to a lack of an analytical form for the finite volume corrections for this system. | limitation 0.99 | 0.91 | 0.28 | asserted 0.93 |
What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00
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- figures and tables
- references and citing sentences
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- P abstract
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- S sections
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- R cross-paper relations
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,224 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Constrained field-space estimators for background-field lattice QCD observables hep-lat · Nov 2026
- Reconstruction of pion polarizabilities in lattice QCD with machine learning hep-lat · Nov 2026
- Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei nucl-th · Mar 2012
- QCD with background electromagnetic fields on the lattice: a review hep-lat · Jun 2024
How the literature uses it
11 arXiv papers cite this in 15 sentences
Papers citing it · 11 sentences without a confident label
Compares with it 2 papers
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The results we found were a bit puzzling: the pion polarizability exhibited the same negative trend observed in other studies both with dynamical [ref] and quenched ensembles [ref] and the neutron polarizability was in disagreement with predictions from chiral perturbation theory [ref] .
Finite volume effects on the electric polarizability of neutral hadrons in lattice QCD · Introduction · 0.81
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In Fig. [ref], we compare $α_E$ from various lattice calculations in the background field method [ref] and the four-point function method.
Neutral pion polarizabilities from four-point functions in lattice QCD · Polarizabilities · 0.97
Cites it as background 2 papers
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Since these original studies, the background field technique continues to be refined and employed for the computation of other hadronic properties in lattice QCD [ref] .
Reconciling the lattice background field method with nonrelativistic QED: Spinor case · Introduction · 0.88
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Background field calculations in lattice QCD represent a fruitful method to determine hadronic properties, see [ref] .
Background Electromagnetic Fields and NRQED Matching: Scalar Case · Introduction · 0.80
What it cites · 5 sentences without a confident label
Uses the method or tool of 2 papers
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We used a Wilson gauge action with $β=6.0$ which corresponds to a lattice spacing of $a=0.093$ and Wilson fermions since they have less problems with exceptional configurations at small quark masses [ref] .
Neutron electric polarizability · Numerical results · 0.84
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For electric polarizability, Eq. [ref] needs to be modified to account for the fact that the lattice calculations are performed using Euclidean formulation [ref] .
The background field method on the lattice · Background and motivation · 0.84
Uses data or values from 1 paper
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The electric field, in dimensionless units $η=a^2 |q_d| E = a^2 e E/3 = 5.76×10^-3$, is set to the same value as in our previous study [ref] .
Neutron electric polarizability · Numerical results · 0.87
Cites as background 4 papers
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The background field method has been used to compute the electric polarizabilities of neutral hadrons [ref] , baryon magnetic moments [ref] and polarizabilities [ref] and electric polarizabilities for charged hadrons [ref] .
Baryon magnetic moments in the background field method · Background and motivation · 0.90
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The background field method has been used to compute the electric polarizabilities of neutral hadrons [ref] , baryon magnetic moments [ref] and polarizabilities [ref] and electric polarizabilities for charged hadrons [ref] .
Electric Polarizability of Neutral Hadrons from Lattice QCD · Background and motivation · 0.90
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The background field method has been used to compute the electric polarizabilities of neutral hadrons [ref] , baryon magnetic moments [ref] and polarizabilities [ref] and electric polarizabilities for charged hadrons [ref] .
Magnetic polarizability of hadrons from lattice QCD in the background field method · Background and motivation · 0.90
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