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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.
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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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.
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