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The Origin of Chiral Anomaly and the Noncommutative Geometry

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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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Peter Presnajder

High Energy Physics - Theory · Submitted 7 Dec 1999

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

The authors' main claim An exact expresion for the chiral anomaly is found.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9912050 (version 3)
Pith ID2OU4HUEL, Pith's permanent record of this paper and its review
CitationPeter Presnajder. "The Origin of Chiral Anomaly and the Noncommutative Geometry." arXiv:hep-th/9912050 (1999). https://pith.science/paper/2OU4HUEL
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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, 4,193 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.73 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra ${\cal A}={\cal U}{u(2))}$. The gauge extension of a free spinor model, the Schwinger model on a noncommutative sphere, is defined and the model is quantized. The noncommutative version of the model contains only a finite number of dynamical modes and is non-perturbatively UV-regular. An exact expresion for the chiral anomaly is found. In the commutative limit the standard formula is recovered.

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 We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra ${\cal A}={\cal U}{u(2))}$. method 0.62 0.88 0.04 asserted 0.99
s1 The gauge extension of a free spinor model, the Schwinger model on a noncommutative sphere, is defined and the model is quantized. contribution 0.75 0.90 0.07 asserted 1.00
s2 The noncommutative version of the model contains only a finite number of dynamical modes and is non-perturbatively UV-regular. result 0.96 0.78 0.18 asserted 1.00
s3 An exact expresion for the chiral anomaly is found. result 0.99 0.94 0.59 asserted 1.00
s4 In the commutative limit the standard formula is recovered. result 0.86 0.77 0.11 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • arXiv listing abstract v3
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

We describe the scalar and spinor fields on noncommutative sphere starting from canonical realizations of the enveloping algebra ${\cal A}={\cal U}{u(2))}$. The gauge extension of a free spinor model, the Schwinger model on a noncommutative sphere, is defined and the model is quantized. The noncommutative version of the model contains only a finite number of dynamical modes and is non-perturbatively UV-regular. An exact expresion for the chiral anomaly is found. In the commutative limit the standard formula is recovered.

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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

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