Chiral properties of two-flavor QCD in small volume and at large lattice spacing

Stefan Schaefer; Thomas DeGrand

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Chiral properties of two-flavor QCD in small volume and at large lattice spacing

Thomas DeGrand, Stefan Schaefer

High Energy Physics - Lattice · Submitted 21 Jun 2005

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A comparison of the low-lying spectrum of the overlap operator with predictions from random matrix theory is made.

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arXiv IDhep-lat/0506021 (version 1)

Pith ID5FF7TAIL, Pith's permanent record of this paper and its review

CitationStefan Schaefer, Thomas DeGrand. "Chiral properties of two-flavor QCD in small volume and at large lattice spacing." arXiv:hep-lat/0506021 (2005). https://pith.science/paper/5FF7TAIL

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,172 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.88 · randomized assignment 0.01 · states quantitative result 0.52 · compares with prior results 0.96 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We present results from simulations of two flavors of dynamical overlap fermions on 8^4 lattices at three values of the sea quark mass and a lattice spacing of about 0.16 fm. We measure the topological susceptibility and the chiral condensate. A comparison of the low-lying spectrum of the overlap operator with predictions from random matrix theory is made. To demonstrate the effect of the dynamical fermions, we compare meson two-point functions with quenched results. Algorithmic improvements over a previous publication and the performance of the algorithm are discussed.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present results from simulations of two flavors of dynamical overlap fermions on 8^4 lattices at three values of the sea quark mass and a lattice spacing of about 0.16 fm.	method 0.71	0.96	0.04	asserted 0.98
s1	We measure the topological susceptibility and the chiral condensate.	contribution 0.55	0.97	0.04	asserted 1.00
s2	A comparison of the low-lying spectrum of the overlap operator with predictions from random matrix theory is made.	contribution 0.50	0.88	0.08	asserted 0.84
s3	To demonstrate the effect of the dynamical fermions, we compare meson two-point functions with quenched results.	method 0.68	0.90	0.05	asserted 0.93
s4	Algorithmic improvements over a previous publication and the performance of the algorithm are discussed.	method 0.92	0.74	0.03	asserted 0.66

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We present results from simulations of two flavors of dynamical overlap fermions on 8^4 lattices at three values of the sea quark mass and a lattice spacing of about 0.16 fm. We measure the topological susceptibility and the chiral condensate. A comparison of the low-lying spectrum of the overlap operator with predictions from random matrix theory is made. To demonstrate the effect of the dynamical fermions, we compare meson two-point functions with quenched results. Algorithmic improvements over a previous publication and the performance of the algorithm are discussed.

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References

Forward citations

Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A new class of variance reduction techniques using lattice symmetries
hep-lat 2012-08 accept novelty 7.0 of 10

Averaging cheap approximate quark propagators over lattice symmetry transformations yields an unbiased estimator that cuts lattice QCD statistical errors by 5 to 20 times at fixed computational cost.
Covariant approximation averaging
hep-lat 2014-02 accept novelty 5.0 of 10

Averaging cheap approximate Dirac inversions over symmetry-related source points, then correcting with one exact solve, cuts statistical errors in lattice QCD correlation functions by up to an order of magnitude at fi...
Hypercubic Smeared Links for Dynamical Fermions
hep-lat 2007-02 conditional novelty 5.0 of 10

Replacing SU(3) projection with unitary normalization in hypercubic link smearing yields a differentiable smearing that matches projected smearing at ultraviolet noise removal and works in dynamical fermion simulations.
Lattice gauge action suppressing near-zero modes of H_W
hep-lat 2006-07 conditional novelty 5.0 of 10

A lattice action with extra negative-mass Wilson fermions produces a measured gap in the spectral density of the hermitian Wilson-Dirac operator near zero, removing the near-zero-mode bottleneck for overlap fermions.
Lattice QCD with fixed topology
hep-lat 2006-03 conditional novelty 5.0 of 10

Fixed-topology lattice QCD with an admissible gauge action or a negative-mass Wilson determinant stabilizes the topological charge and reproduces known low-energy constants in the epsilon-regime.

Show 2 more citing papers

Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point
hep-lat 2026-06 unverdicted novelty 4.0 of 10

Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.
Theta dependence of SU(N) gauge theories in the presence of a topological term
hep-th 2008-03 accept novelty 2.0 of 10

Lattice measurements of the topological susceptibility and its theta-expansion coefficients in SU(N) gauge theory agree with large-N scaling and the Witten-Veneziano explanation of the U(1)_A problem.

How the literature uses it

7 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Cites it as background 2 papers

Recently a number of studies [ref] of the topological susceptibility with two flavors of dynamical fermions have appeared.

Topological susceptibility in two-flavor QCD · Introduction · 0.90
Its first applications in the early 2000s [ref] identified it as a promising variance-reduction technique, although its impact was then limited by the fact that lattice QCD simulations used relatively small lattice volumes and unphysical quark masses.

Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point · Introduction · 0.94

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