High Energy Physics - Lattice · arXiv:hep-lat/0201019 v1 · submitted 25 Jan 2002
Chiral perturbation theory for the Wilson lattice action
The paper says
“We extend chiral perturbation theory to include linear dependence on the lattice spacing a for the Wilson action.”
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The paper
Abstract
We extend chiral perturbation theory to include linear dependence on the lattice spacing a for the Wilson action. The perturbation theory is written as a double expansion in the small quark mass mq and lattice spacing a. We present formulae for the mass and decay constant of a flavor-non-singlet meson in this scheme to order a and mq2. The extension to the partially quenched theory is also described.
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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 0.05 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.06 · mentions code or data availability 0.01
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 extend chiral perturbation theory to include linear dependence on the lattice spacing $a$ for the Wilson action. | contribution 1.00 | 0.94 | 0.34 | asserted 1.00 |
| The perturbation theory is written as a double expansion in the small quark mass $m_q$ and lattice spacing $a$. | method 0.90 | 0.84 | 0.10 | asserted 1.00 |
| We present formulae for the mass and decay constant of a flavor-non-singlet meson in this scheme to order $a$ and $m_q^2$. | result 0.53 | 0.94 | 0.36 | asserted 1.00 |
| The extension to the partially quenched theory is also described. | contribution 0.99 | 0.83 | 0.06 | asserted 0.97 |
What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 1.00
What was examined, and what was not
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,524 input tokens, $0.0001 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 13 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions hep-lat · Dec 2024
- Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions hep-lat · Dec 2019
- Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions hep-lat · Sep 2019
- Spectroscopy of SU(4) composite Higgs theory with two distinct fermion representations hep-lat · Oct 2017
- Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings hep-lat · Dec 2010
- Two-flavor QCD simulation with exact chiral symmetry hep-lat · Mar 2008
- Electromagnetic and spin polarisabilities in lattice QCD hep-lat · Mar 2006
- I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD hep-lat · Jun 2005
- Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations hep-lat · Nov 2024
- Universality of Mixed Action Extrapolation Formulae hep-lat · May 2007
- Chiral perturbation theory at O(a^2) for lattice QCD hep-lat · Jun 2003
- 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
29 arXiv papers cite this in 45 sentences
Papers citing it · 28 sentences without a confident label
Contests it 1 paper
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It turns out, however, that the results on this issue in the literature [ref] are incorrect.
The vector and axial currents in Wilson chiral perturbation theory · Introduction · contest 0.97
Builds on it 1 paper
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In the isotropic limit, it was shown there are five additional operators at this order [ref] [equation] For the anisotropic action, there are an additional five operators similar to the above five with the replacement of low-energy constants (LECs) $W_4-8 →W_4-8^ξ$ and a simultaneous replacement of the condensate $𝕎 →𝕎^ξ$.
Effective Field Theory for the Anisotropic Wilson Lattice Action · Meson Chiral Lagrangian · 0.91
Uses its method or tool 5 papers
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We then describe the continuum and massless limit extrapolations, that rely on Wilson chiral perturbation theory (W$χ$PT) [ref] (we found it useful also to read Ref. [ref] , as well as some of the literature on improvement [ref] ).
On the spectrum of mesons in quenched $Sp(2N)$ gauge theories · Lattice Theory and Observables · 0.95
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The masses displayed are obtained by extrapolating the measurements toward continuum and massless limits, using a simplified approach inspired by Wilson [ref] and heavy-baryon [ref] chiral perturbation theory.
Progress on the spectroscopy of an Sp(4) gauge theory coupled to matter in multiple representations · Mass spectra · 0.99
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We extrapolate our numerical results towards the massless and continuum limits, relying on Wilson chiral perturbation theory (W$χ$PT) [ref] by borrowing ideas from Ref. [ref] , and from the literature on improvement [ref] .
Meson spectroscopy in the $Sp(4)$ gauge theory with three antisymmetric fermions · Introduction · 0.98
Cites it as background 6 papers
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The chiral Lagrangian for Wilson chiral perturbation theory to $O(a^2)$ was derived in [ref] .
The Wilson Dirac Spectrum for QCD with Dynamical Quarks · Spectral Properties of the Hermitian Wilson Dirac Operator · 0.96
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The corrections to the chiral Lagrangian that arise up to and including order $a^2$-effects for Wilson fermions have been analyzed in a series of papers [ref] .
Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings · Introduction · 0.94
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This effect is captured by Wilson chiral perturbation theory [ref] , for which we now give a focused review.
Chiral Dynamics With Wilson Fermions · Wilson Chiral Perturbation Theory in the $ϵ$-regime · 0.85
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