High Energy Physics - Lattice · arXiv:1808.06299 v1 · submitted 20 Aug 2018
Reply to "Comment on `Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory"'
The paper says
“We also discuss how the momentum dependence plagues the time-dependent HALQCD method and what is a necessary condition for the method to yield valid results being independent of the choice of the interpolating operators.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We reemphasize the momentum dependence of the coefficients of the derivative expansion as already explained in our paper [1]. We also discuss how the momentum dependence plagues the time-dependent HALQCD method and what is a necessary condition for the method to yield valid results being independent of the choice of the interpolating operators.
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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 0.02 · states limitation 0.29 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.73 · 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 reemphasize the momentum dependence of the coefficients of the derivative expansion as already explained in our paper [1]. | background 0.49 | 0.40 | 0.22 | asserted 0.97 |
| We also discuss how the momentum dependence plagues the time-dependent HALQCD method and what is a necessary condition for the method to yield valid results being independent of the choice of the interpolating operators. | contribution 0.84 | 0.68 | 0.45 | asserted 0.99 |
What kind of paper the classifier reports this is: position or commentary 1.00 · evidence from argument 0.83
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- P abstract
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,288 input tokens.
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 2 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes hep-lat · Aug 2020
- Hadrons and Nuclei hep-lat · Apr 2019
How the literature uses it
5 arXiv papers cite this in 8 sentences
Papers citing it · 7 sentences without a confident label
Cites it as background 1 paper
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Some examples of further reading on the issues can be found in Refs. [ref] .
Towards grounding nuclear physics in QCD · Two-nucleon controversy · 0.99
What it cites · 22 sentences without a confident label
Contests 2 papers
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It is not clear whether the expansion converges or not by investigating the convergence properties with only a few terms as in Ref. [ref] , because it is not a systematic expansion.
Systematics of the HAL QCD Potential at Low Energies in Lattice QCD · Introduction · contest 0.75
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Such a replacement however has never been introduced in the HAL QCD method.” In our paper [ref] we cannot find such a claim that $V (r; k)$ is replaced by $V (r; q)$ even for $q k$ in the HALQCD method.
Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory · Introduction · contest 0.76
Cites as support 2 papers
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First of all, $k$ dependence of the expansion coefficient $V_i(x)$ of the reduced BS wave function $h(x;k)$ is inevitable in a practical determination by lattice calculations, as far as the expansion is truncated at some finite order [ref] .
Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory · Introduction · 0.98
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CP-PACS Collaboration has shown that its $x$ dependence gives the consistent momentum with the one determined from the two-particle energy [ref] .
I=2 Pion Scattering Length from Two-Pion Wave Functions · Introduction · 0.96
Challenges and discussion
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