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The BF Formalism for QCD and Quark Confinement

High Energy Physics - Theory · Submitted 3 May 1996

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

The authors' main claim In this framework, 't Hooft's pioneering work on confinement finds an explicit realization in the continuum.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9605018 (version 2)
Pith ID3IDTFS5I, Pith's permanent record of this paper and its review
CitationF.Fucito, M.Martellini, M.Zeni. "The BF Formalism for QCD and Quark Confinement." arXiv:hep-th/9605018 (1996). https://pith.science/paper/3IDTFS5I
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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, 3,545 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.32 · compares with prior results 0.50 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Using the BF version of pure Yang-Mills, it is possible to find a covariant representation of the 't Hooft magnetic flux operator. In this framework, 't Hooft's pioneering work on confinement finds an explicit realization in the continuum. Employing the Abelian projection gauge we compute the expectation value of the magnetic variable and find the expected perimeter law. We also check the area law behaviour for the Wilson loop average and compute the string tension which turns out to be of the right order of magnitude.

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 Using the BF version of pure Yang-Mills, it is possible to find a covariant representation of the 't Hooft magnetic flux operator. contribution 0.58 0.80 0.24 hedged possibility 0.86
s1 In this framework, 't Hooft's pioneering work on confinement finds an explicit realization in the continuum. interpretation 0.72 0.40 0.30 asserted 1.00
s2 Employing the Abelian projection gauge we compute the expectation value of the magnetic variable and find the expected perimeter law. result 0.82 0.96 0.19 asserted 1.00
s3 We also check the area law behaviour for the Wilson loop average and compute the string tension which turns out to be of the right order of magnitude. result 1.00 0.94 0.29 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.68.

What was examined, and what was not

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  • arXiv listing abstract v2
not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

Using the BF version of pure Yang-Mills, it is possible to find a covariant representation of the 't Hooft magnetic flux operator. In this framework, 't Hooft's pioneering work on confinement finds an explicit realization in the continuum. Employing the Abelian projection gauge we compute the expectation value of the magnetic variable and find the expected perimeter law. We also check the area law behaviour for the Wilson loop average and compute the string tension which turns out to be of the right order of magnitude.

Human review
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1 arXiv paper cite this in 1 sentence

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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