High Energy Physics - Lattice · arXiv:hep-lat/0406027 v2 · submitted 16 Jun 2004
Staggered eigenvalue mimicry
The paper says
“With sufficient filtering and at small enough lattice spacing the staggered spectra manage to “mimic” the overlap version.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We study the infrared part of the spectrum for UV-filtered staggered Dirac operators and compare them to the overlap counterpart. With sufficient filtering and at small enough lattice spacing the staggered spectra manage to “mimic” the overlap version. They show a 4-fold near-degeneracy, and a clear separation between would-be zero modes and non-zero modes. This suggests an approximate index theorem for filtered staggered fermions and a correct sensitivity to the topology of QCD. Moreover, it supports square-rooting the staggered determinant to obtain dynamical ensembles with Nf = 2.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 0.80
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.58 · human participants 0.01 · controlled comparison 0.69 · randomized assignment 0.01 · states quantitative result 0.46 · compares with prior results 0.92 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We study the infrared part of the spectrum for UV-filtered staggered Dirac operators and compare them to the overlap counterpart. | contribution 0.96 | 0.92 | 0.04 | asserted 0.65 |
| With sufficient filtering and at small enough lattice spacing the staggered spectra manage to ``mimic'' the overlap version. | result 1.00 | 0.82 | 0.52 | asserted 0.80 |
| They show a 4-fold near-degeneracy, and a clear separation between would-be zero modes and non-zero modes. | result 1.00 | 0.85 | 0.16 | asserted 1.00 |
| This suggests an approximate index theorem for filtered staggered fermions and a correct sensitivity to the topology of QCD. | interpretation 1.00 | 0.55 | 0.38 | hedged possibility 1.00 |
| Moreover, it supports square-rooting the staggered determinant to obtain dynamical ensembles with $N_f=2$. | interpretation 0.97 | 0.43 | 0.23 | hedged possibility 0.69 |
What kind of paper the classifier reports this is: simulation study 0.99 · evidence from simulation or computation 1.00
What was examined, and what was not
Sources read
- arXiv listing abstract v2
Not examined
- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
Not run
- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,180 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 9 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD hep-lat · Feb 2018
- Determination of $|V_{us}|$ from a lattice-QCD calculation of the $K\to\pi\ell\nu$ semileptonic form factor with physical quark masses hep-ph · Dec 2013
- Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317) hep-lat · Aug 2012
- Anderson localization through Polyakov loops: lattice evidence and Random matrix model hep-lat · May 2011
- Why rooting fails hep-lat · Aug 2007
- I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD hep-lat · Jun 2005
- The Scalar Strange Content of the Nucleon from Lattice QCD hep-lat · Jan 2013
- Singly and Doubly Charmed J=1/2 Baryon Spectrum from Lattice QCD hep-lat · Sep 2009
- Taste-splittings of staggered, Karsten-Wilczek and Borici-Creutz fermions under gradient flow in 2D hep-lat · Nov 2024
How the literature uses it
14 arXiv papers cite this in 19 sentences
Papers citing it · 10 sentences without a confident label
Uses its method or tool 2 papers
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The algorithm for the quark determinant uses the fourth-root procedure to remove the unwanted taste degrees of freedom [ref] .
Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD · Introduction · 0.93
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For that action, HYP smearing [ref] was utilized for this purpose.
M\"obius domain-wall fermions on gradient-flowed dynamical HISQ ensembles · Gradient-flow smearing · 0.82
Compares with it 1 paper
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This behavior matches what has been observed with the usual staggered operator [ref] .
Radius of convergence in lattice QCD at finite $\mu_B$ with rooted staggered fermions · Problems with rooting · 0.94
Cites it as support 3 papers
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Further nonperturbative evidence comes from studying the eigenvalues of the staggered-fermion operator $$, demonstrating that they appear in nearly degenerate quartets [ref] .
Staggered fermions, zero modes, and flavor-singlet mesons · Introduction · 0.97
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In this case we expect the low eigenvalues to be nearly fourfold degenerate and form clear “quartets.” This has been seen in lattice simulations with improved actions [ref] .
Staggered chiral random matrix theory · Scales · 0.96
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When one avoids this dangerous region however, there is substantial evidence that rooted staggered fermions produce correct results [ref] although there are some dissenting opinions [ref] .
Lattice QCD: concepts, techniques and some results · Staggered rooting · 0.98
Cites it as background 2 papers
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Detailed studies of the low lying eigenvalue spectrum of various staggered Dirac operators have for instance been conducted in [ref] .
Effects of flavor-symmetry violation from staggered fermion lattice simulations of graphene · Improvement · 0.92
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Near the continuum the spectrum of the staggered Dirac operator shows quartets of near-degenerate eigenvalues, with relative splittings of order $O(a)$, corresponding to the so-called staggered tastes [ref] .
Radius of convergence in lattice QCD at finite $\mu_B$ with rooted staggered fermions · Introduction · 0.89
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