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Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Robert G. Edwards, Urs M. Heller, Rajamani Narayanan

High Energy Physics - Lattice · Submitted 16 Feb 1999

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

The authors' main claim We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-lat/9902021 (version 1)
Pith IDJ37Y4POE, Pith's permanent record of this paper and its review
CitationRajamani Narayanan, Robert G. Edwards, Urs M. Heller. "Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory." arXiv:hep-lat/9902021 (1999). https://pith.science/paper/J37Y4POE
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The compiled record

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, 3,643 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.26 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.03 · states quantitative result 0.11 · compares with prior results 0.89 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. The three universal classes are the orthogonal, unitary and symplectic ensemble. Lattice gauge theory with staggered fermions has verified two of the cases so far, unitary and symplectic, with staggered fermions in the fundamental representation of SU(3) and SU(2). We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. background 1.00 0.04 0.06 asserted 0.92
s1 The three universal classes are the orthogonal, unitary and symplectic ensemble. background 1.00 0.04 0.03 asserted 1.00
s2 Lattice gauge theory with staggered fermions has verified two of the cases so far, unitary and symplectic, with staggered fermions in the fundamental representation of SU(3) and SU(2). background 0.62 0.11 0.04 asserted 1.00
s3 We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3. contribution 0.92 0.95 0.92 asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.90 · evidence from simulation or computation 0.96.

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
not run
  • 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

The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. The three universal classes are the orthogonal, unitary and symplectic ensemble. Lattice gauge theory with staggered fermions has verified two of the cases so far, unitary and symplectic, with staggered fermions in the fundamental representation of SU(3) and SU(2). We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.

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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

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