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Dual gluons and monopoles in 2+1 dimensional Yang-Mills theory
High Energy Physics - Theory · Submitted 18 Jun 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This would give a mass for the dual gluons resulting in confinement.
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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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The abstract, sentence by sentence
2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. The dual gluons are related to diffeomorphisms of the 3-manifold. Monopoles are identified with points where the Ricci tensor has triply degenerate eigenvalues. The dual gluons have the desired interaction with these monopoles. This would give a mass for the dual gluons resulting in confinement.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. | contribution 0.83 | 0.75 | 0.10 | asserted 1.00 |
| s1 | The dual gluons are related to diffeomorphisms of the 3-manifold. | interpretation 0.49 | 0.67 | 0.10 | asserted 1.00 |
| s2 | Monopoles are identified with points where the Ricci tensor has triply degenerate eigenvalues. | result 0.42 | 0.75 | 0.18 | asserted 1.00 |
| s3 | The dual gluons have the desired interaction with these monopoles. | result 0.88 | 0.60 | 0.15 | asserted 0.98 |
| s4 | This would give a mass for the dual gluons resulting in confinement. | interpretation 0.94 | 0.38 | 0.63 | hedged possibility 0.77 |
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The paper
Original abstract
2+1-dimensional Yang-Mills theory is reinterpreted in terms of metrics on 3-manifolds. The dual gluons are related to diffeomorphisms of the 3-manifold. Monopoles are identified with points where the Ricci tensor has triply degenerate eigenvalues. The dual gluons have the desired interaction with these monopoles. This would give a mass for the dual gluons resulting in confinement.
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How the literature uses it
3 arXiv papers cite this in 7 sentences
Papers citing it · 6 sentences without a confident label
Cites it as background 1 paper
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The details of such characterisation are to be found in Refs. [ref] and [ref] ).
Dreibein as prepotential for three-dimensional Yang-Mills theory · Conformal mode of metric and monopole configuration · 0.80
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