Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation

Christian Hoelbling; Claudio Rebbi; Leonardo Giusti

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Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation

Leonardo Giusti, Christian Hoelbling, Claudio Rebbi

High Energy Physics - Lattice · Submitted 24 Jan 2001

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

The authors' main claim We test these procedures in the two-dimensional Schwinger model and the results are very promising.

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arXiv IDhep-lat/0101015 (version 2)

Pith IDUMMNLE4O, Pith's permanent record of this paper and its review

CitationChristian Hoelbling, Claudio Rebbi, Leonardo Giusti. "Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation." arXiv:hep-lat/0101015 (2001). https://pith.science/paper/UMMNLE4O

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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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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.44 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We propose new techniques for the numerical implementation of the overlap-Dirac operator, which exploit the physical properties of the underlying theory to avoid nested algorithms. We test these procedures in the two-dimensional Schwinger model and the results are very promising. These techniques can be directly applied to QCD simulations. We also present a detailed computation of the spectrum and the chiral properties of the Schwinger model in the overlap lattice formulation.

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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 propose new techniques for the numerical implementation of the overlap-Dirac operator, which exploit the physical properties of the underlying theory to avoid nested algorithms.	contribution 0.76	0.88	0.18	asserted 0.99
s1	We test these procedures in the two-dimensional Schwinger model and the results are very promising.	result 0.83	0.96	0.35	asserted 0.94
s2	These techniques can be directly applied to QCD simulations.	future work 0.56	0.24	0.19	asserted 0.82
s3	We also present a detailed computation of the spectrum and the chiral properties of the Schwinger model in the overlap lattice formulation.	contribution 0.86	0.95	0.13	asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.98 · evidence from simulation or computation 1.00.

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arXiv listing abstract v2

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full text
figures and tables
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S sections
T body sentences
C citations
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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 propose new techniques for the numerical implementation of the overlap-Dirac operator, which exploit the physical properties of the underlying theory to avoid nested algorithms. We test these procedures in the two-dimensional Schwinger model and the results are very promising. These techniques can be directly applied to QCD simulations. We also present a detailed computation of the spectrum and the chiral properties of the Schwinger model in the overlap lattice formulation.

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References

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3 arXiv papers cite this in 3 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 whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

We test these procedures in the two-dimensional Schwinger model and the results are very promising.

Exact results and approximation schemes for the Schwinger model with the overlap Dirac operator · 1.00

Papers citing it · 2 sentences without a confident label

Cites it as background 1 paper

The Schwinger model has a long history as a toy model for lattice simulations, see e.g [ref] and references therein.

Schwinger Model Mass Anomalous Dimension · Introduction · 1.00

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